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Zorluk: KolayOhm's Law Calculations and Concepts

A technician connects a 24 V24\text{ V} direct current (DC) power source across an auxiliary heating element with a measured resistance of 8 Ω8\text{ }\Omega. What is the amount of current flowing through the heating element?

  1. A
    192 A192\text{ A}
  2. B
    0.33 A0.33\text{ A}
  3. 3 A3\text{ A}Cevap
  4. D
    24 A24\text{ A}

Cevap

3 A3\text{ A}
According to Ohm's law, current (II) is calculated by dividing voltage (VV) by resistance (RR). For a 24 V24\text{ V} supply connected across an 8 Ω8\text{ }\Omega load, the calculation is I=24 V8 Ω=3 AI = \frac{24\text{ V}}{8\text{ }\Omega} = 3\text{ A}.

Adım Adım Çözüm

1
Identify the given values from the problem statement.
Voltage (VV) = 24 V24\text{ V}, Resistance (RR) = 8 Ω8\text{ }\Omega.
Ohm's law relates voltage, current, and resistance in a DC circuit.
2
Select the appropriate form of Ohm's law to solve for current (II).
I=VRI = \frac{V}{R}
Current is directly proportional to voltage and inversely proportional to resistance.
3
Substitute the known values into the equation and compute the result.
I=24 V8 Ω=3 AI = \frac{24\text{ V}}{8\text{ }\Omega} = 3\text{ A}
Dividing 2424 by 88 gives the circuit current in amperes.

Anahtar Kavram

Ohm's Law relationship between voltage, current, and resistance (I=VRI = \frac{V}{R})
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