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If a circuit has a current of 3 A and a resistance of 4 Ω, what is the power con

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Question: If a circuit has a current of 3 A and a resistance of 4 Ω, what is the power consumed? (2020)

Options:

  1. 12 W
  2. 7 W
  3. 3 W
  4. 1 W

Correct Answer: 12 W

Exam Year: 2020

Solution: 

Power (P) can be calculated using P = I² × R = (3 A)² × 4 Ω = 12 W.

If a circuit has a current of 3 A and a resistance of 4 Ω, what is the power con

Practice Questions

Q1
If a circuit has a current of 3 A and a resistance of 4 Ω, what is the power consumed? (2020)
  1. 12 W
  2. 7 W
  3. 3 W
  4. 1 W

Questions & Step-by-Step Solutions

If a circuit has a current of 3 A and a resistance of 4 Ω, what is the power consumed? (2020)
  • Step 1: Identify the formula for power (P) in a circuit, which is P = I² × R.
  • Step 2: Note the given values: current (I) is 3 A and resistance (R) is 4 Ω.
  • Step 3: Substitute the current value into the formula: P = (3 A)² × 4 Ω.
  • Step 4: Calculate (3 A)², which is 9 A².
  • Step 5: Multiply 9 A² by 4 Ω to find the power: 9 A² × 4 Ω = 36 W.
  • Step 6: The power consumed in the circuit is 36 W.
  • Ohm's Law and Power Calculation – Understanding the relationship between current, resistance, and power in electrical circuits.
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