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In a circuit with a 24V battery and a 6Ω resistor, what is the power consumed by

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Question: In a circuit with a 24V battery and a 6Ω resistor, what is the power consumed by the resistor? (2020)

Options:

  1. 48W
  2. 72W
  3. 96W
  4. 144W

Correct Answer: 72W

Exam Year: 2020

Solution: 

Power (P) can be calculated using P = V^2 / R. Here, P = 24V^2 / 6Ω = 96W.

In a circuit with a 24V battery and a 6Ω resistor, what is the power consumed by

Practice Questions

Q1
In a circuit with a 24V battery and a 6Ω resistor, what is the power consumed by the resistor? (2020)
  1. 48W
  2. 72W
  3. 96W
  4. 144W

Questions & Step-by-Step Solutions

In a circuit with a 24V battery and a 6Ω resistor, what is the power consumed by the resistor? (2020)
  • Step 1: Identify the voltage (V) from the battery, which is 24 volts.
  • Step 2: Identify the resistance (R) of the resistor, which is 6 ohms.
  • Step 3: Use the formula for power (P), which is P = V^2 / R.
  • Step 4: Substitute the values into the formula: P = (24V)^2 / 6Ω.
  • Step 5: Calculate (24V)^2, which is 576.
  • Step 6: Divide 576 by 6Ω to find the power: 576 / 6 = 96W.
  • Step 7: Conclude that the power consumed by the resistor is 96 watts.
  • Ohm's Law and Power Calculation – Understanding the relationship between voltage, resistance, and power in electrical circuits.
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