Ohm's Law Calculations and Concepts Alıştırma Soruları — Armed Services Vocational Aptitude Battery (ASVAB) — Sayfa 2

Soru 21Soru →

An automotive technician tests a fuel level sensor module connected to a $12\text{ V}$ direct current (DC) supply. An in-line digital multimeter measures a steady current flow of $15\text{ mA}$ through the module. What is the electrical resistance of the sensor module?

0.8\text{ }\Omega

1.25\text{ }\Omega

800\text{ }\Omega

180\text{ }\Omega

Cevabı ve açıklamayı göster

Cevap: $800\text{ }\Omega$

Cevap

The electrical resistance of the sensor module is

800\text{ }\Omega

.

According to Ohm's law, resistance equals voltage divided by current (

R = \frac{V}{I}

). Converting

15\text{ mA}

to amperes gives

0.015\text{ A}

. Dividing

12\text{ V}

by

0.015\text{ A}

yields

800\text{ }\Omega

.

Adım Adım Çözüm

1

Convert the measured current from milliamperes (mA) to the base SI unit amperes (A).

I = 15\text{ mA} = 15 \times 10^{-3}\text{ A} = 0.015\text{ A}

Standard electrical formulas require quantities in base units (volts, amperes, ohms).

2

State Ohm's law rearranged to solve for resistance (

R

).

R = \frac{V}{I}

Resistance equals electromotive force (voltage) divided by current flow.

3

Substitute the given values into the formula and calculate the resistance.

R = \frac{12\text{ V}}{0.015\text{ A}} = \frac{12000}{15}\text{ }\Omega = 800\text{ }\Omega

Dividing

12\text{ V}

by

0.015\text{ A}

yields the total circuit resistance in ohms.

Anahtar Kavram

Ohm's Law (

V = I \times R

) defines the relationship between voltage, current, and resistance in a DC circuit.

Tahmini Süre:45s

Soru 22Soru →

A marine communications transceiver utilizes a direct current (DC) bias network. A voltmeter connected across a fixed $2.5\text{ k}\Omega$ resistor measures a steady voltage drop of $15\text{ V}$ . What is the current flowing through this resistor?

37.5\text{ mA}

167\text{ mA}

6\text{ mA}

0.6\text{ mA}

Cevabı ve açıklamayı göster

Cevap: $6\text{ mA}$

Cevap

The current flowing through the resistor is

6\text{ mA}

.

According to Ohm's law, current equals voltage divided by resistance (

I = V / R

). Dividing

15\text{ V}

by

2.5\text{ k}\Omega

(

2500\text{ }\Omega

) yields

0.006\text{ A}

, which converts directly to

6\text{ mA}

.

Adım Adım Çözüm

1

Convert the given resistance from kilo-ohms to fundamental SI units (ohms).

R = 2.5\text{ k}\Omega = 2.5 \times 10^3\text{ }\Omega = 2500\text{ }\Omega

Standard calculations in Ohm's law require values in fundamental units (volts, amperes, ohms).

2

Apply Ohm's law formula to solve for current (

I = V / R

).

I = \frac{15\text{ V}}{2500\text{ }\Omega} = 0.006\text{ A}

Current is directly proportional to voltage and inversely proportional to resistance.

3

Convert the resulting current from amperes to milliamperes.

0.006\text{ A} = 0.006 \times 1000\text{ mA} = 6\text{ mA}

Matching the standard unit formatting in electronic measurement options.

Anahtar Kavram

Ohm's Law expresses the fundamental relationship between voltage, current, and resistance in a DC circuit (

I = V / R

).

Tahmini Süre:1m 0s

Soru 23Soru →

An industrial temperature sensor module with a calibrated internal resistance of $4.5\text{ k}\Omega$ draws a steady direct current of $8\text{ mA}$ during normal operation. What is the voltage drop across the sensor module in volts ( $\text{V}$ )?

Cevabı ve açıklamayı göster

Cevap: 36

Cevap

The voltage drop across the sensor module is

36\text{ V}

.

According to Ohm's Law, voltage (

V

) equals current (

I

) multiplied by resistance (

R

). Given

I = 8\text{ mA} = 0.008\text{ A}

and

R = 4.5\text{ k}\Omega = 4500\text{ }\Omega

, the calculation is

V = 0.008\text{ A} \times 4500\text{ }\Omega = 36\text{ V}

.

Adım Adım Çözüm

1

Convert the given metric prefixes to standard base units (amperes and ohms).

I = 8\text{ mA} = 8 \times 10^{-3}\text{ A} = 0.008\text{ A}

and

R = 4.5\text{ k}\Omega = 4.5 \times 10^{3}\text{ }\Omega = 4500\text{ }\Omega

Ohm's law requires fundamental SI units (volts, amperes, and ohms) for accurate mathematical evaluation.

2

Select the appropriate form of Ohm's Law to calculate voltage (

V

).

V = I \times R

Voltage across a resistive load equals the product of the current flowing through it and its resistance.

3

Substitute the converted values into the formula and solve.

V = 0.008\text{ A} \times 4500\text{ }\Omega = 36\text{ V}

Multiplying

8 \times 10^{-3}\text{ A}

by

4.5 \times 10^{3}\text{ }\Omega

simplifies directly to

8 \times 4.5 = 36\text{ V}

because the metric prefixes milli (

10^{-3}

) and kilo (

10^{3}

) cancel each other.

Anahtar Kavram

Ohm's Law: Voltage Calculation (

V = I \times R

)

Alternatif Yöntem

Recognize that the prefix multiplier milli- (

10^{-3}

) and kilo- (

10^{3}

) cancel out when multiplied together:

(8\text{ mA}) \times (4.5\text{ k}\Omega) = 8 \times 4.5\text{ V} = 36\text{ V}

.

Tahmini Süre:1m 0s

Soru 24Soru →

An avionics technician tests a direct current (DC) relay control circuit connected to a $36\text{ V}$ power supply. An in-line ammeter indicates that the relay coil draws a steady current of $75\text{ mA}$ . What is the total electrical resistance of the relay coil?

0.48\text{ }\Omega

480\text{ }\Omega

2.7\text{ }\Omega

2,700\text{ }\Omega

Cevabı ve açıklamayı göster

Cevap: $480\text{ }\Omega$

Cevap

The total electrical resistance of the relay coil is

480\text{ }\Omega

.

According to Ohm's Law, resistance is determined by dividing voltage by current (

R = \frac{V}{I}

). First, converting the current from milliamperes to amperes gives

75\text{ mA} = 0.075\text{ A}

. Dividing the

36\text{ V}

supply by

0.075\text{ A}

yields a resistance of

480\text{ }\Omega

.

Adım Adım Çözüm

1

Convert the measured current from milliamperes to base amperes.

I = 75\text{ mA} = 75 \times 10^{-3}\text{ A} = 0.075\text{ A}

Standard electrical calculations using Ohm's law require values to be expressed in base SI units (volts, amperes, and ohms).

2

Apply Ohm's law rearranged to solve for resistance (

R = \frac{V}{I}

).

R = \frac{36\text{ V}}{0.075\text{ A}} = 480\text{ }\Omega

Resistance equals electromotive force (voltage) divided by current flow.

Anahtar Kavram

Calculating resistance in a DC circuit using Ohm's Law with metric prefix conversion.

Tahmini Süre:1m 0s

Soru 25Soru →

A technician is servicing an off-grid solar telemetry station and measures the operating parameters of four distinct direct current (DC) load circuits. Match each circuit description on the left with its corresponding calculated electrical quantity on the right using Ohm's law.

Soldaki öğeye tıklayın, sonra eşleşen sağdaki öğeye tıklayın

Cevabı ve açıklamayı göster

Cevap

The

24\text{ V}

fan at

120\text{ }\Omega

matches

0.20\text{ A}

; the

48\text{ V}

beacon at

16\text{ mA}

matches

3.0\text{ k}\Omega

; the

15\text{ V}

heater drawing

2.5\text{ A}

matches

6.0\text{ }\Omega

; and the

50\text{ mA}

indicator across

180\text{ }\Omega

matches

9.0\text{ V}

.

Each match correctly applies the appropriate algebraic variation of Ohm's law (

V = I \times R

,

I = \frac{V}{R}

, or

R = \frac{V}{I}

) while properly converting metric units (

1\text{ mA} = 0.001\text{ A}

and

1\text{ k}\Omega = 1000\text{ }\Omega

).

Adım Adım Çözüm

1

Calculate the current for the cooling fan circuit

I = \frac{V}{R} = \frac{24\text{ V}}{120\text{ }\Omega} = 0.20\text{ A}

Ohm's law defines current as voltage divided by resistance.

2

Calculate the resistance for the remote sensor beacon

R = \frac{V}{I} = \frac{48\text{ V}}{0.016\text{ A}} = 3000\text{ }\Omega = 3.0\text{ k}\Omega

Convert milliamperes to amperes (

16\text{ mA} = 0.016\text{ A}

) and solve for resistance by dividing voltage by current.

3

Calculate the resistance for the environmental heating strip

R = \frac{V}{I} = \frac{15\text{ V}}{2.5\text{ A}} = 6.0\text{ }\Omega

Ohm's law defines resistance as voltage divided by current.

4

Calculate the voltage for the backup LED indicator branch

V = I \times R = 0.050\text{ A} \times 180\text{ }\Omega = 9.0\text{ V}

Convert milliamperes to amperes (

50\text{ mA} = 0.050\text{ A}

) and calculate voltage by multiplying current by resistance.

Anahtar Kavram

Ohm's Law states the fundamental relationship between voltage, current, and resistance in a direct current circuit:

V = I \times R

,

I = \frac{V}{R}

, and

R = \frac{V}{I}

.

Tahmini Süre:1m 15s

Soru 26Soru →

An HVAC technician is testing a motorized zone damper actuator powered by a $24\text{ V}$ direct current (DC) power supply. An ammeter connected in series measures a current draw of $400\text{ mA}$ through the actuator coil. What is the electrical resistance of the actuator coil?

0.06\text{ }\Omega

9.6\text{ }\Omega

60\text{ }\Omega

9.6\text{ k}\Omega

Cevabı ve açıklamayı göster

Cevap: $60\text{ }\Omega$

Cevap

The electrical resistance of the damper actuator coil is

60\text{ }\Omega

.

According to Ohm's Law, resistance is calculated by dividing the voltage across the component by the current flowing through it (

R = \frac{V}{I}

). Converting

400\text{ mA}

to amperes yields

0.4\text{ A}

. Dividing

24\text{ V}

by

0.4\text{ A}

gives

60\text{ }\Omega

.

Adım Adım Çözüm

1

Convert the measured current from milliamperes (mA) to base amperes (A)

I = 400\text{ mA} = \frac{400}{1000}\text{ A} = 0.4\text{ A}

Standard electrical calculations using Ohm's Law require current to be expressed in amperes.

2

State and apply the Ohm's Law formula solved for resistance (

R

)

R = \frac{V}{I}

Resistance equals electromotive force (voltage) divided by current.

3

Substitute the known values and calculate the resistance

R = \frac{24\text{ V}}{0.4\text{ A}} = 60\text{ }\Omega

Dividing

24

by

0.4

gives the coil resistance in ohms.

Anahtar Kavram

Ohm's Law (

R = \frac{V}{I}

) and metric prefix conversion

Tahmini Süre:1m 0s

Soru 27Soru →

A technician is testing a direct current (DC) cooling fan motor installed in an equipment rack. When powered by a $48\text{ V}$ DC supply, the motor draws a steady current of $250\text{ mA}$ . What is the electrical resistance of the cooling fan motor in ohms ( $\Omega$ )?

Cevabı ve açıklamayı göster

Cevap: 192

Cevap

The electrical resistance of the cooling fan motor is

192\text{ }\Omega

.

According to Ohm's law, resistance is found by dividing voltage by current (

R = \frac{V}{I}

). Converting

250\text{ mA}

to

0.25\text{ A}

and dividing

48\text{ V}

by

0.25\text{ A}

gives exactly

192\text{ }\Omega

.

Adım Adım Çözüm

1

Convert the current from milliamperes to amperes

I = 250\text{ mA} = 0.25\text{ A}

Ohm's law calculations require current to be expressed in the base SI unit of amperes.

2

Calculate resistance using Ohm's law formula (

R = \frac{V}{I}

)

R = \frac{48\text{ V}}{0.25\text{ A}} = 192\text{ }\Omega

Dividing the supply voltage by the total circuit current yields the resistance in ohms.

Anahtar Kavram

Calculating resistance using Ohm's law (

R = \frac{V}{I}

) combined with metric prefix conversion from milliamperes to amperes.

Tahmini Süre:1m 0s

Soru 28Soru →

An automated assembly fixture uses an industrial direct current (DC) solenoid valve to actuate a pneumatic clamp. The solenoid coil has an internal resistance of $600\text{ }\Omega$ and requires a steady current of $35\text{ mA}$ to operate reliably. What DC voltage must the power supply deliver to the solenoid valve?

17.1\text{ V}

2.1\text{ V}

21\text{ V}

21,000\text{ V}

Cevabı ve açıklamayı göster

Cevap: $21\text{ V}$

Cevap

21\text{ V}

According to Ohm's Law, voltage is calculated by multiplying current by resistance (

V = I \times R

). Converting the current from milliamperes to amperes gives

35\text{ mA} = 0.035\text{ A}

. Multiplying

0.035\text{ A} \times 600\text{ }\Omega

results in

21\text{ V}

.

Adım Adım Çözüm

1

Convert the operating current from milliamperes (

\text{mA}

) to base amperes (

\text{A}

).

35\text{ mA} = \frac{35}{1,000}\text{ A} = 0.035\text{ A}

Ohm's Law calculations require electrical quantities in standard SI base units.

2

Apply Ohm's Law (

V = I \times R

) to find the required supply voltage.

V = 0.035\text{ A} \times 600\text{ }\Omega = 21\text{ V}

Voltage equals the product of current and resistance.

Anahtar Kavram

Ohm's Law (

V = I \times R

) with metric prefix conversion

Tahmini Süre:1m 0s

Soru 29Soru →

A technician is troubleshooting an industrial robotics controller that delivers direct current (DC) to a solid-state indicator module. The module has an internal resistance of $1.5\text{ k}\Omega$ . When the circuit is energized, a voltmeter measures a potential difference of $24\text{ V}$ across the module. What is the current flowing through the indicator module?

16\text{ A}

36\text{ mA}

16\text{ mA}

62.5\text{ mA}

Cevabı ve açıklamayı göster

Cevap: $16\text{ mA}$

Cevap

The current flowing through the indicator module is

16\text{ mA}

.

According to Ohm's Law, current equals voltage divided by resistance (

I = \frac{V}{R}

). Converting the resistance of

1.5\text{ k}\Omega

to base ohms gives

1{}500\text{ }\Omega

. Dividing the voltage of

24\text{ V}

by

1{}500\text{ }\Omega

yields

0.016\text{ A}

, which converts to

16\text{ mA}

.

Adım Adım Çözüm

1

Convert the resistance from kilo-ohms to base ohms

R = 1.5\text{ k}\Omega = 1.5 \times 10^3\text{ }\Omega = 1{}500\text{ }\Omega

Standard electrical calculations using Ohm's Law require values in fundamental SI units (volts, amperes, ohms).

2

Apply Ohm's Law to calculate the current in amperes

I = \frac{V}{R} = \frac{24\text{ V}}{1{}500\text{ }\Omega} = 0.016\text{ A}

Ohm's Law states that current equals electromotive force (voltage) divided by resistance.

3

Convert the resulting current from amperes to milliamperes

I = 0.016\text{ A} \times 1{}000\text{ mA/A} = 16\text{ mA}

Expressing fractional amperes in milliamperes aligns with standard instrumentation and option specifications.

Anahtar Kavram

Ohm's Law (

I = \frac{V}{R}

) and metric prefix conversion (kilo- and milli-).

Tahmini Süre:1m 0s

Ohm's Law Calculations and Concepts

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