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

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

Options:

  1. 12 W
  2. 7 W
  3. 15 W
  4. 9 W

Correct Answer: 12 W

Exam Year: 2020

Solution: 

Power (P) is calculated using P = I^2 * R = (3 A)^2 * 4 ohms = 12 W.

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

Practice Questions

Q1
If a circuit has a current of 3 A and a resistance of 4 ohms, what is the power consumed? (2020)
  1. 12 W
  2. 7 W
  3. 15 W
  4. 9 W

Questions & Step-by-Step Solutions

If a circuit has a current of 3 A and a resistance of 4 ohms, what is the power consumed? (2020)
  • Step 1: Identify the formula for power (P) in a circuit, which is P = I^2 * R.
  • Step 2: Identify the current (I) given in the problem, which is 3 A.
  • Step 3: Identify the resistance (R) given in the problem, which is 4 ohms.
  • Step 4: Substitute the current (I) into the formula: P = (3 A)^2 * R.
  • Step 5: Calculate (3 A)^2, which is 9 A^2.
  • Step 6: Multiply 9 A^2 by the resistance (4 ohms): 9 A^2 * 4 ohms = 36 W.
  • Step 7: 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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