Direct Current (DC) vs. Alternating Current (AC)

24 soru

Soru 1Soru →

A technician needs to operate a 120 V120\text{ V} alternating current (AC) power tool using a 12 V12\text{ V} direct current (DC) vehicle battery as the power source. Which sequence of components is required to operate this equipment?

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Cevap: An inverter to convert the DC supply into AC, combined with a transformer to increase the voltage

Cevap

An inverter to convert the DC supply into AC, combined with a transformer to increase the voltage
A battery supplies unidirectional direct current (DC). Because standard transformers require alternating current (AC) to induce voltage across their windings, the DC must first be converted into AC using an inverter circuit, which can then be stepped up to the required 120 V120\text{ V} AC level.

Adım Adım Çözüm

1
Identify the power characteristics of the source and the load
The source provides 12 V12\text{ V} steady direct current (DC), whereas the load requires 120 V120\text{ V} alternating current (AC).
Direct current flows continuously in one direction at constant polarity, while alternating current periodically reverses direction.
2
Determine the required electrical conversion and voltage transformation
DC must be converted to AC via an electronic inverter circuit, and the voltage magnitude must be increased tenfold.
Transformers operate on mutual induction created by varying magnetic fields, meaning voltage can only be stepped up or down efficiently after conversion to AC.

Anahtar Kavram

Direct Current (DC) maintains unidirectional flow while Alternating Current (AC) reverses direction periodically; conversion from DC to AC requires an inverter.
Tahmini Süre:45s
Soru 2Soru →

An automotive technician connects a diagnostic scanner to a standard 12-volt car battery. Which statement correctly describes the current supplied by this direct current (DC) power source?

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Cevap: Electrons flow continuously in only one constant direction through the circuit.

Cevap

Electrons flow continuously in only one constant direction through the circuit.
A battery produces direct current (DC), which is characterized by the continuous flow of electrons in a single, unchanging direction through a closed electrical circuit.

Adım Adım Çözüm

1
Identify the electrical power source and current type.
A 12-volt vehicle battery is an electrochemical source supplying direct current (DC).
Establishing the power source defines the behavior of current flow in the circuit.
2
Apply the fundamental definition of direct current (DC).
Direct current flows in a single, constant direction from the negative terminal to the positive terminal through the external circuit.
Unlike alternating current, direct current maintains a steady polarity and does not alternate direction.

Anahtar Kavram

Direct current (DC) is the unidirectional flow of electric charge, maintaining a constant direction of electron movement over time.
Tahmini Süre:30s
Soru 3Soru →

A technician connects a 12 V12\text{ V} direct current (DC) battery directly across the primary winding of a 1:101:10 step-up transformer expecting a steady 120 V120\text{ V} output. Instead, the secondary winding produces only a brief momentary pulse at connection, followed by 0 V0\text{ V}. Which statement best explains this outcome?

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Cevap: A steady direct current creates a static magnetic field, which fails to produce the changing magnetic flux required for continuous induction.

Cevap

A steady direct current creates a static magnetic field, which fails to produce the changing magnetic flux required for continuous induction.
Transformers operate on mutual electromagnetic induction, which requires a continuously changing magnetic field. Alternating current (AC) naturally provides this because its magnitude and polarity oscillate continuously. When steady direct current (DC) is applied, a brief pulse occurs only while current ramps up during connection; once steady state is reached, the magnetic field is static, resulting in zero rate of change of magnetic flux and zero induced secondary voltage.

Adım Adım Çözüm

1
Analyze the nature of the power source (DC).
Direct current maintains a constant magnitude and unidirectional flow after reaching steady state.
Understanding the source characteristic is essential to determine its magnetic effect in the primary winding.
2
Evaluate the magnetic field produced by steady direct current in the transformer core.
A constant direct current establishes a stationary, unchanging magnetic field (dΦdt=0\frac{d\Phi}{dt} = 0).
A changing current is necessary to produce an expanding or collapsing magnetic field.
3
Apply Faraday's Law of Electromagnetic Induction to the secondary winding.
Induced secondary voltage is proportional to the rate of change of magnetic flux (Vsec=−NdΦdt=0 VV_{\text{sec}} = -N \frac{d\Phi}{dt} = 0\text{ V}).
Because flux is static once DC is fully established, no continuous voltage can be induced across the secondary coil.

Anahtar Kavram

Direct Current (DC) vs. Alternating Current (AC) in Transformer Operation
Tahmini Süre:45s
Soru 4Soru →

In a direct current (DC) circuit, electrical current periodically reverses its direction of flow at a fixed frequency measured in hertz (Hz\text{Hz}).

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Cevap: False

Cevap

False. Direct current (DC) flows in a single constant direction, while alternating current (AC) periodically reverses its direction of flow.
The statement is false because direct current (DC) flows in one fixed direction without reversing. The periodic reversal of direction and polarity over time at a frequency measured in hertz (Hz\text{Hz}) is the defining attribute of alternating current (AC).

Adım Adım Çözüm

1
Define the fundamental behavior of direct current (DC).
Direct current is characterized by the unidirectional flow of electric charge, maintaining a constant polarity with a frequency of 0 Hz0\text{ Hz}.
Establishing the baseline definition of DC.
2
Analyze the characteristic described in the statement.
Periodic reversal of current flow at a measurable frequency in hertz (Hz\text{Hz}) defines alternating current (AC).
Distinguishing between AC and DC waveform characteristics.
3
Evaluate the accuracy of the statement.
The statement incorrectly assigns the periodic reversal and frequency properties of AC to DC, making the statement false.
Determining the correct truth value.

Anahtar Kavram

Direct Current (DC) flows continuously in one direction with zero frequency, whereas Alternating Current (AC) periodically reverses direction at a specified frequency.
Tahmini Süre:30s
Soru 5Soru →

An electrical current whose magnitude periodically fluctuates over time without ever reversing its polarity or direction of electron flow is classified as an alternating current (AC).

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Cevap: False

Cevap

False
The statement is false because the defining characteristic of alternating current (AC) is a periodic reversal in the direction of current flow and voltage polarity. Current that varies in magnitude while remaining strictly unidirectional is pulsating direct current (DC).

Adım Adım Çözüm

1
Analyze the fundamental definition of alternating current (AC).
Alternating current requires that electrons periodically change direction, moving back and forth across a zero reference axis.
AC is defined by periodic reversal of polarity and current direction, not merely changing magnitude.
2
Analyze the characteristics of direct current (DC) and its variations.
Direct current is any current that flows continuously in a single direction; when its amplitude varies over time without crossing zero to reverse direction, it is termed pulsating DC.
Unidirectional current flow remains DC regardless of whether the magnitude is constant or time-varying.
3
Evaluate the statement based on electrical classification principles.
The statement incorrectly classifies a unidirectional pulsating current as alternating current.
Because polarity never reverses, the current is DC, making the statement false.

Anahtar Kavram

Classification of DC vs. AC based on polarity reversal versus magnitude variation
Soru 6Soru →

In an alternating current (AC) circuit, the direction of electron flow periodically reverses, whereas in a direct current (DC) circuit, electrons flow in only one continuous direction.

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Cevap: True

Cevap

True
The statement is true because the defining characteristic distinguishing AC from DC is the direction of current flow: direct current flows in a single direction with constant polarity, whereas alternating current regularly reverses direction over time.

Adım Adım Çözüm

1
Analyze the fundamental definition of direct current (DC).
Direct current is characterized by electric charges flowing exclusively in a single, constant direction through a circuit.
Direct current power sources, such as chemical batteries, provide a fixed polarity across their terminals.
2
Analyze the fundamental definition of alternating current (AC).
Alternating current periodically cycles between positive and negative polarities, causing charge carriers to oscillate back and forth.
AC generators produce an alternating sinusoidal voltage waveform that regularly inverts direction.
3
Compare the definitions against the provided statement.
The statement accurately reflects the defining behavioral distinction between alternating and direct current.
Both halves of the statement describe standard electrical principles correctly.

Anahtar Kavram

Directional characteristics of alternating current (AC) versus direct current (DC)
Soru 7Soru →

A technician mistakenly connects the primary coil of a 1:2 step-up transformer directly to a steady 12-volt automotive battery. After the initial connection is made and the circuit reaches a steady state, what voltage is continuously induced across the secondary coil, and what is the fundamental reason for this result?

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Cevap: 0 volts, because a steady direct current creates a static magnetic field that cannot induce a continuous voltage.

Cevap

0 volts, because a steady direct current creates a static magnetic field that cannot induce a continuous voltage.
The correct answer identifies that a 12-volt battery provides steady Direct Current (DC). While DC will create a magnetic field in the transformer's primary coil, that field will quickly become static. Electromagnetic induction requires a continuously moving or fluctuating magnetic field—which is why transformers run on Alternating Current (AC). Without a changing magnetic field, no continuous voltage is induced in the secondary coil, resulting in 0 volts.

Adım Adım Çözüm

1
Identify the type of electrical source being used.
An automotive battery provides steady Direct Current (DC).
Understanding the source dictates how current will flow through the circuit.
2
Determine the characteristics of the magnetic field produced by the source.
Steady DC produces a static, unchanging magnetic field in the primary coil.
Magnetic field strength is proportional to current; a constant current yields a constant magnetic field.
3
Apply the principles of electromagnetic induction for transformers.
Induction requires a changing magnetic field (flux) to produce a voltage in the secondary coil.
Transformers rely on Alternating Current (AC) to constantly expand and collapse the magnetic field.
4
Calculate the continuous induced voltage on the secondary coil.
The induced voltage is 0 volts.
Because the DC magnetic field is static and not changing, no continuous voltage can be induced across the secondary coil, rendering the step-up ratio irrelevant.

Anahtar Kavram

Direct Current (DC) characteristics vs. Alternating Current (AC) in Electromagnetic Induction
Soru 8Soru →

Rechargeable electronic devices store energy in batteries that require direct current (DC) to charge. Which device is specifically designed to convert the alternating current (AC) supplied by a wall outlet into direct current (DC)?

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Cevap: A rectifier

Cevap

A rectifier is the device that converts alternating current (AC) into direct current (DC).
A rectifier is an electrical circuit consisting of diodes that permits current flow in only one direction, transforming bidirectional alternating current (AC) into unidirectional direct current (DC).

Adım Adım Çözüm

1
Identify the type of incoming electrical supply and the required output format.
The source is alternating current (AC) from a utility outlet, and the target load requires direct current (DC).
Battery charging requires unidirectional current flow (DC), whereas grid power supplies bidirectional oscillating current (AC).
2
Select the electrical conversion device that turns bidirectional AC into unidirectional DC.
A rectifier (typically using semiconductor diodes) accomplishes AC-to-DC conversion.
Diodes conduct current in only one direction, converting the alternating wave into a unidirectional direct current.

Anahtar Kavram

Direct current (DC) flows continuously in one direction, whereas alternating current (AC) periodically reverses direction. Conversion from AC to DC is accomplished using a rectifier, while conversion from DC to AC is performed by an inverter.
Tahmini Süre:40s
Soru 9Soru →

Electric utility companies transmit electrical power across regional grids using high-voltage alternating current (AC) rather than direct current (DC). What is the primary technical advantage of using AC for long-distance power distribution?

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Cevap: AC voltage can be easily stepped up to high voltages using transformers to minimize transmission power loss.

Cevap

AC voltage can be easily stepped up to high voltages using transformers to minimize transmission power loss.
The primary advantage of alternating current (AC) in power distribution is its compatibility with electromagnetic transformers. By stepping voltage up to very high levels for long-distance transmission, the line current is substantially reduced, which minimizes I2RI^2 R heat losses along transmission lines. Step-down transformers then reduce the voltage to safe, usable levels at homes and businesses.

Adım Adım Çözüm

1
Analyze the relationship between transmission voltage, current, and line power loss.
Power lost as heat in transmission conductors is given by Ploss=I2RP_{\text{loss}} = I^2 R. Stepping up transmission voltage reduces current II for a given power level, which drastically reduces power loss across the line resistance RR.
High voltage is necessary to minimize resistive losses over long transmission distances.
2
Evaluate why AC is uniquely suited for voltage stepping compared to steady DC.
Transformers rely on electromagnetic induction driven by a continuously changing magnetic field, which requires alternating current (AC). Steady DC cannot induce a continuous secondary voltage in standard transformers.
AC operates transformers with high efficiency, allowing simple conversion between generation, transmission, and household voltage levels.

Anahtar Kavram

Alternating current (AC) produces fluctuating magnetic fields that allow transformers to efficiently step voltage up for low-loss transmission and down for end-user distribution.
Tahmini Süre:45s
Soru 10Soru →

An off-grid weather monitoring station stores electrical energy in a 24 V24\text{ V} direct current (DC) battery bank but must operate a 120 V120\text{ V} alternating current (AC) transmitter. Which component is required to power the transmitter from the battery bank, and how does it manipulate the electrical current?

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Cevap: An inverter, which converts unidirectional direct current into alternating current that periodically reverses polarity

Cevap

An inverter, which converts unidirectional direct current into alternating current that periodically reverses polarity
Batteries store and supply direct current (DC), in which electrons flow in only one direction with constant polarity. An inverter uses electronic switching circuitry (such as transistors or MOSFETs) to transform this unidirectional current into alternating current (AC), where the voltage and electron flow periodically alternate and reverse direction to match the requirements of AC equipment.

Adım Adım Çözüm

1
Identify the power source and the load power requirements
The energy source is a 24 V24\text{ V} battery bank providing steady direct current (DC), while the load requires 120 V120\text{ V} alternating current (AC).
Determining the input waveform (unidirectional DC) and output waveform (alternating bidirectional AC) establishes the necessary power conversion process.
2
Evaluate the function of conversion and transformation devices
Transformers require alternating current to induce voltage and cannot operate on steady DC; rectifiers convert AC to DC; inverters convert DC to AC.
An inverter electronically switches and modulates DC to generate an alternating voltage and current waveform that periodically reverses direction.
3
Select the component that performs DC-to-AC conversion
An inverter changes the unidirectional DC into the required AC waveform.
The transmitter requires an AC waveform with reversing polarity, which only an inverter can synthesize from a DC storage bank.

Anahtar Kavram

Direct Current (DC) flows continuously in a single direction, whereas Alternating Current (AC) periodically reverses direction and polarity. Converting DC to AC requires an inverter, whereas converting AC to DC requires a rectifier.
Tahmini Süre:45s
Soru 11Soru →

Match each electrical component or power source to its corresponding operational characteristic regarding alternating current (AC) and direct current (DC).

Soldaki öğeye tıklayın, sonra eşleşen sağdaki öğeye tıklayın

Öğeler

Automotive battery
Residential wall outlet
Rectifier
Inverter

Eşleşmeler

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Cevap

Automotive battery pairs with steady direct current flowing in one constant direction; Residential wall outlet pairs with supplying alternating current that periodically reverses direction; Rectifier pairs with converting AC into DC; Inverter pairs with converting DC into AC.
An automotive battery supplies direct current (DC) flowing in a single fixed direction, while a residential wall outlet provides alternating current (AC) that constantly reverses direction. For power conversion, a rectifier changes AC into DC, and an inverter changes DC into AC.

Adım Adım Çözüm

1
Classify the output type of the power sources.
An automotive battery produces a constant direct current (DC) flowing continuously from negative to positive terminals. A residential wall outlet delivers power that oscillates in polarity and reverses direction, which is alternating current (AC).
Electrochemical cells maintain constant terminal polarity, whereas utility power grids distribute AC power generated by rotating alternators.
2
Differentiate between the two electrical conversion devices.
A rectifier changes alternating current (AC) into direct current (DC), while an inverter changes direct current (DC) into alternating current (AC).
Rectifiers are used to power DC electronics from AC grid mains, whereas inverters allow standard AC appliances to operate from DC battery banks.

Anahtar Kavram

Distinction between AC and DC sources and the functional roles of rectifiers and inverters
Tahmini Süre:45s
Soru 12Soru →

In electrical and electronic systems, direct current (DC) and alternating current (AC) interact with specific devices for power generation, conversion, and voltage transformation. Match each electrical component or device on the left with its primary operational function or characteristic on the right.

Soldaki öğeye tıklayın, sonra eşleşen sağdaki öğeye tıklayın

Öğeler

Electrochemical battery cell
Standard electromagnetic transformer
Silicon bridge rectifier
Solid-state electronic inverter

Eşleşmeler

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Cevap

Electrochemical battery cell matches with generates a continuous, unidirectional flow of electric charge; Standard electromagnetic transformer matches with steps voltage levels up or down using a changing magnetic field; Silicon bridge rectifier matches with converts alternating current into pulsating direct current; Solid-state electronic inverter matches with converts direct current into alternating current.
Each component is accurately paired with its fundamental relationship to AC or DC: batteries supply pure DC, transformers strictly require AC induction, rectifiers convert AC into DC, and inverters synthesize AC from DC.

Adım Adım Çözüm

1
Identify the source behavior of the electrochemical battery cell
Matched with producing continuous unidirectional current flow (DC).
Chemical reactions inside a battery maintain constant polarity at the terminals, forcing electrons to move in one direction.
2
Determine the operating principle of the electromagnetic transformer
Matched with stepping voltage up or down via a changing magnetic field.
Electromagnetic induction requires a constantly changing current, which is provided exclusively by alternating current (AC) rather than steady DC.
3
Distinguish between conversion devices (rectifier versus inverter)
Rectifier converts AC to DC; Inverter converts DC to AC.
Rectifiers use diodes to permit one-way conduction from an AC source, whereas inverters use electronic switching to create an alternating waveform from a DC supply.

Anahtar Kavram

Direct Current (DC) maintains unidirectional electron flow, while Alternating Current (AC) reverses direction periodically. Specific components are required to generate, transform, or convert between these two electrical modes.
Tahmini Süre:1m 0s
Soru 13Soru →

In electrical systems, direct current (DC) and alternating current (AC) exhibit distinct behaviors across chemical, capacitive, magnetic, and electromechanical applications. Match each electrical component or application on the left with its correct operational characteristic regarding AC or DC on the right.

Soldaki öğeye tıklayın, sonra eşleşen sağdaki öğeye tıklayın

Öğeler

Secondary battery charging process
Iron-core step-down transformer
Capacitor connected across a steady DC source
Split-ring commutator in a rotating generator

Eşleşmeler

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Cevap

Secondary battery charging matches unidirectional chemical restoration; Iron-core transformer matches alternating flux mutual induction; Capacitor in steady DC matches open-circuit behavior at zero frequency; Split-ring commutator matches mechanical rectification of AC to DC.
Each component is correctly matched to its fundamental AC or DC operating mechanism: battery charging requires unidirectional DC electron flow for chemical storage, transformers depend on AC-induced time-varying magnetic flux, capacitors block steady DC at 0 Hz0\text{ Hz}, and commutators mechanically rectify internally induced AC into DC.

Adım Adım Çözüm

1
Analyze the chemical requirement of battery charging
Battery charging requires continuous direct current (DC) so that ions travel consistently toward their designated electrodes without reversing every half-cycle.
AC would alternate between charging and discharging every cycle, resulting in zero net chemical energy storage.
2
Analyze transformer operational physics
Transformers require alternating current (AC) to produce a continuously changing magnetic field (ΔΦ/Δt\Delta\Phi/\Delta t) across the core to induce an electromotive force in the secondary coil.
Steady DC produces a static magnetic field that cannot induce continuous secondary voltage.
3
Analyze capacitive reactance under DC conditions
With capacitive reactance XC=12πfCX_C = \frac{1}{2\pi f C}, a steady DC source has a frequency of f=0 Hzf = 0\text{ Hz}, yielding infinite reactance (XC→∞X_C \rightarrow \infty) once charged.
Direct current cannot cross the insulating dielectric layer once charge equilibrium is established.
4
Analyze the electromechanical function of a split-ring commutator
Rotating loops in a magnetic field inherently produce AC; the split rings reverse contact connections at each half-rotation, converting internal AC into pulsating DC.
The commutator serves as a mechanical rectifier.

Anahtar Kavram

Fundamental distinctions in how alternating current (time-varying direction/magnitude) and direct current (unidirectional flow) govern induction, electrochemistry, capacitive opposition, and mechanical waveform rectification.
Tahmini Süre:1m 30s
Soru 14Soru →

Which of the following statements correctly describes how charge carrier (electron) movement differs between an alternating current (AC) circuit and a direct current (DC) circuit?

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Cevap: Electrons in an AC circuit oscillate back and forth periodically, whereas electrons in a DC circuit drift continuously in a single direction.

Cevap

Electrons in an AC circuit oscillate back and forth periodically, whereas electrons in a DC circuit drift continuously in a single direction.
In direct current (DC), the electromotive force maintains a constant polarity, causing charge carriers (electrons) to drift steadily in one direction along the conductor. In alternating current (AC), the polarity of the voltage source reverses periodically at a given frequency, causing the electrons to oscillate rapidly back and forth around relatively fixed positions without traveling continuously from one end to the other.

Adım Adım Çözüm

1
Identify the fundamental physical behavior of electric charge in Direct Current (DC).
In a DC circuit, a constant voltage polarity creates an electric field that causes electrons to drift steadily in one continuous direction.
Direct current is characterized by unidirectional flow over time.
2
Identify the fundamental physical behavior of electric charge in Alternating Current (AC).
In an AC circuit, the source voltage periodically reverses polarity, causing the electric field to reverse direction and the electrons to oscillate back and forth in place.
Alternating current changes direction at a specific frequency (e.g., 60 Hz60\text{ Hz}), resulting in zero net displacement over complete cycles.

Anahtar Kavram

Direct Current (DC) involves unidirectional electron drift, while Alternating Current (AC) involves periodic bidirectional oscillation of electrons.
Tahmini Süre:45s
Soru 15Soru →

A standard portable flashlight is powered by two alkaline dry cell batteries connected in series. What type of electrical current flows through the flashlight bulb when it is turned on?

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Cevap: Direct current (DC), because electric charge flows continuously in a single, constant direction

Cevap

Direct current (DC), because electric charge flows continuously in a single, constant direction
Batteries produce direct current (DC) because their chemical reactions establish fixed positive and negative terminals, causing electrical charge to flow continuously in a single direction through the closed circuit.

Adım Adım Çözüm

1
Identify the power source and its characteristic electrical output
Alkaline dry cells are electrochemical batteries, which produce a steady electromotive force with fixed positive and negative terminals.
Determining the power source type indicates whether the electrical output is unidirectional (DC) or oscillating (AC).
2
Classify the resulting current flow in the closed circuit
Since the battery polarity remains constant, electrons move continuously in one direction through the circuit, which is the definition of direct current (DC).
Direct current is defined by unidirectional charge flow, whereas alternating current regularly reverses direction.

Anahtar Kavram

Direct Current (DC) vs. Alternating Current (AC)
Tahmini Süre:30s
Soru 16Soru →

Unlike a steady DC power system where individual electrons physically drift through the entirety of the closed conductive path over time, the electrons in a standard 60 Hz60\text{ Hz} AC household system only vibrate back and forth within a localized region of the wire and never complete a full lap around the circuit.

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Cevap: True

Cevap

True. DC causes a continuous physical progression of electrons, while AC causes localized oscillation.
The statement is true because the constant unidirectional electric field in a DC system allows for a continuous physical progression of electrons around the circuit loop. In an AC system, the rapidly alternating electric field causes the electrons to simply wiggle back and forth locally, transferring energy without requiring a full physical transit of the circuit.

Adım Adım Çözüm

1
Analyze the nature of electron movement in a steady DC system.
DC maintains a constant voltage polarity, which forces electrons to slowly drift in one continuous direction around the circuit.
Understanding DC electron drift establishes the baseline for comparison.
2
Analyze the nature of electron movement in an AC system.
AC voltage constantly reverses polarity, which in a 60 Hz60\text{ Hz} system occurs 120 times per second.
This rapid reversal determines how the electric field influences the electrons.
3
Evaluate the distance an electron can travel in an AC system before reversing.
Because electron drift velocity is incredibly slow, the rapid polarity reversal forces them to merely vibrate in place rather than completing a circuit lap.
Comparing the slow drift speed to the high AC frequency proves that AC electrons cannot traverse the entire circuit.

Anahtar Kavram

Electron Drift and Oscillation in AC vs. DC
Soru 17Soru →

An alternating current (AC) sinusoidal voltage with a peak value of 10 V10\text{ V} delivers the same electrical power to a resistive heating element as a steady 10 V10\text{ V} direct current (DC) supply.

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Cevap: False

Cevap

False. An alternating current (AC) sine wave with a peak voltage of 10 V10\text{ V} delivers an effective (RMS) voltage of approximately 7.07 V7.07\text{ V}, which provides less electrical power to a resistor than a constant 10 V10\text{ V} direct current (DC) supply.
Direct current (DC) maintains a continuous, constant voltage and unidirectional current flow over time. In contrast, sinusoidal alternating current (AC) fluctuates, reaching its maximum peak voltage only momentarily and crossing zero volts twice per cycle. The effective value of an AC voltage—representing the DC voltage that would deliver the exact same average heating power across an identical resistor—is defined by its Root-Mean-Square (RMS) value (VRMS=0.707×VpeakV_{\text{RMS}} = 0.707 \times V_{\text{peak}}). For a 10 V10\text{ V} peak AC supply, the effective voltage is only 7.07 V7.07\text{ V}, resulting in half the power output of a steady 10 V10\text{ V} DC supply.

Adım Adım Çözüm

1
Identify the relationship between peak voltage and effective (RMS) voltage for alternating current.
VRMS=Vpeak2≈0.707×Vpeak=0.707×10 V=7.07 VV_{\text{RMS}} = \frac{V_{\text{peak}}}{\sqrt{2}} \approx 0.707 \times V_{\text{peak}} = 0.707 \times 10\text{ V} = 7.07\text{ V}.
Direct current supplies a continuous, constant potential, whereas alternating current oscillates, meaning the effective power output of AC must be calculated using its RMS value.
2
Compare the power dissipated by the 10 V10\text{ V} DC source and the 10 V10\text{ V} peak AC source across a resistor RR.
PDC=(10 V)2R=100RP_{\text{DC}} = \frac{(10\text{ V})^2}{R} = \frac{100}{R}, whereas PAC=(VRMS)2R=(7.07 V)2R=50RP_{\text{AC}} = \frac{(V_{\text{RMS}})^2}{R} = \frac{(7.07\text{ V})^2}{R} = \frac{50}{R}.
Power delivered to a resistor is proportional to the square of the applied voltage; the 10 V10\text{ V} peak AC source delivers only 50%50\% of the power delivered by the 10 V10\text{ V} DC source.
3
Evaluate the truth value of the stem statement.
The statement is false.
Equal peak and DC voltage values do not result in equal power output due to the cyclic nature and lower effective RMS value of AC.

Anahtar Kavram

AC RMS Voltage vs. DC Equivalent Heating Power
Tahmini Süre:35s
Soru 18Soru →

In an alternating current (AC) circuit, electrical current periodically reverses its direction of flow at a regular rate measured in hertz (HzHz).

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Cevap: True

Cevap

True
The statement is true because alternating current (AC) is defined by its periodic reversal of direction and polarity, with the number of complete cycles per second measured in hertz (HzHz).

Adım Adım Çözüm

1
Identify the core definition of alternating current (AC).
Alternating current is defined as current that periodically reverses its direction of flow over time.
This bidirectional oscillation distinguishes AC from unidirectional direct current (DC).
2
Determine the unit of measurement for the rate of these reversals.
The number of complete forward-and-backward cycles per second is frequency, measured in hertz (HzHz).
One hertz equals one complete cycle per second.
3
Evaluate the truth value of the stem statement.
The statement is true because it correctly describes both the periodic reversal and the unit of frequency for AC.
All facts in the statement align with standard electrical definitions.

Anahtar Kavram

Alternating Current (AC) Directional Reversal and Frequency
Soru 19Soru →

A technician connects the primary winding of an iron-core transformer to a 12 V12\text{ V} direct current (DC) battery and then to a 12 V12\text{ V} alternating current (AC) power supply. What voltage behavior will be observed at the secondary output terminals for each power source?

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Cevap: A continuous output voltage is produced only with the AC power supply because transformers require a continuously changing magnetic field to induce a voltage.

Cevap

A continuous output voltage is produced only with the AC power supply because transformers require a continuously changing magnetic field to induce a voltage.
The correct answer identifies that only the alternating current (AC) supply produces a sustained secondary output voltage. A transformer functions via mutual induction, which fundamentally requires a dynamic, changing magnetic field. Because AC continuously alternates in direction and amplitude, it creates a constantly fluctuating magnetic flux in the iron core that induces an electromotive force (voltage) across the secondary winding. Steady direct current (DC) establishes an unvarying magnetic field, which cannot produce a sustained output voltage.

Adım Adım Çözüm

1
Analyze the electromagnetic requirements of a transformer
Transformers operate on Faraday's law of induction, which states that a voltage is induced in a secondary winding only when there is a changing magnetic flux (ΔΦ/Δt\Delta \Phi / \Delta t).
Induction requires relative movement between magnetic lines of force and the secondary conductor.
2
Evaluate the behavior under a Direct Current (DC) input
A steady DC battery creates a constant, unvarying magnetic field in the core after initial energization, yielding zero sustained induced voltage across the secondary winding.
With steady DC, the rate of change of magnetic flux is zero after the initial switch closure.
3
Evaluate the behavior under an Alternating Current (AC) input
An AC supply continuously changes magnitude and reverses direction periodically, producing a dynamic magnetic field that continuously induces an alternating voltage in the secondary winding.
The continuous cyclical change in AC satisfies the condition for ongoing mutual inductance.

Anahtar Kavram

Transformers require a continuously changing current (AC) to produce the dynamic magnetic field necessary for mutual induction; steady DC produces a static magnetic field that cannot sustain transformer operation.
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A benchtop power supply plugged into a 120 V120\text{ V} household wall outlet provides a steady +12 V+12\text{ V} direct current (DC) output to test an electronic device. Which internal circuit is responsible for converting the incoming alternating current (AC) into direct current (DC)?

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Cevap: Rectifier

Cevap

A rectifier is the electronic circuit responsible for converting alternating current (AC) into direct current (DC).
A rectifier contains diodes that restrict electron flow to a single direction. When AC voltage alternates polarity, the rectifier routes the current unidirectionally, turning alternating current into direct current.

Adım Adım Çözüm

1
Identify the electrical input type and the required electrical output type.
The input from the wall outlet is alternating current (AC), and the required output for the device is direct current (DC).
Determining the directionality and waveform of the power source dictates the specific conversion device needed.
2
Match the conversion requirement to the corresponding electronic device function.
A rectifier circuit uses semiconductor diodes to force current to flow in only one direction, converting bidirectional AC into unidirectional DC.
Rectification is the fundamental electrical process for producing DC from an AC source.

Anahtar Kavram

Conversion of AC to DC via Rectification
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