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If a circuit has a 12V battery and a total resistance of 3Ω, what is the power c

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Question: If a circuit has a 12V battery and a total resistance of 3Ω, what is the power consumed by the circuit? (2023)

Options:

  1. 12W
  2. 24W
  3. 36W
  4. 48W

Correct Answer: 24W

Exam Year: 2023

Solution: 

Power P = V^2/R = 12^2/3 = 144/3 = 48W.

If a circuit has a 12V battery and a total resistance of 3Ω, what is the power c

Practice Questions

Q1
If a circuit has a 12V battery and a total resistance of 3Ω, what is the power consumed by the circuit? (2023)
  1. 12W
  2. 24W
  3. 36W
  4. 48W

Questions & Step-by-Step Solutions

If a circuit has a 12V battery and a total resistance of 3Ω, what is the power consumed by the circuit? (2023)
  • Step 1: Identify the voltage of the battery, which is 12V.
  • Step 2: Identify the total resistance in the circuit, which is 3Ω.
  • Step 3: Use the formula for power, which is P = V^2 / R.
  • Step 4: Substitute the values into the formula: P = 12^2 / 3.
  • Step 5: Calculate 12^2, which is 144.
  • Step 6: Divide 144 by 3 to find the power: 144 / 3 = 48.
  • Step 7: Conclude that the power consumed by the circuit is 48W.
  • Ohm's Law – The relationship between voltage (V), current (I), and resistance (R) in an electrical circuit, where V = I * R.
  • Power Calculation – The formula for calculating power (P) in an electrical circuit, which can be expressed as P = V^2 / R or P = I^2 * R.
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