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In a circuit with a 24V battery and a total resistance of 8Ω, what is the power

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Question: In a circuit with a 24V battery and a total resistance of 8Ω, what is the power consumed by the circuit? (2023)

Options:

  1. 72 W
  2. 48 W
  3. 36 W
  4. 24 W

Correct Answer: 48 W

Exam Year: 2023

Solution: 

Power P = V^2/R = 24^2/8 = 576/8 = 72 W.

In a circuit with a 24V battery and a total resistance of 8Ω, what is the power

Practice Questions

Q1
In a circuit with a 24V battery and a total resistance of 8Ω, what is the power consumed by the circuit? (2023)
  1. 72 W
  2. 48 W
  3. 36 W
  4. 24 W

Questions & Step-by-Step Solutions

In a circuit with a 24V battery and a total resistance of 8Ω, what is the power consumed by the circuit? (2023)
  • Step 1: Identify the voltage (V) of the battery, which is 24 volts.
  • Step 2: Identify the total resistance (R) in the circuit, which is 8 ohms.
  • Step 3: Use the formula for power (P) in a circuit, which is P = V^2 / R.
  • Step 4: Substitute the values into the formula: P = 24^2 / 8.
  • Step 5: Calculate 24^2, which equals 576.
  • Step 6: Divide 576 by 8 to find the power: 576 / 8 = 72.
  • Step 7: Conclude that the power consumed by the circuit is 72 watts.
  • Ohm's Law and Power Calculation – Understanding the relationship between voltage, current, resistance, and power in electrical circuits.
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