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If a battery provides a voltage of 9 V and is connected to a circuit with a tota

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Question: If a battery provides a voltage of 9 V and is connected to a circuit with a total resistance of 3 ohms, what is the power consumed by the circuit?

Options:

  1. 27 W
  2. 18 W
  3. 9 W
  4. 3 W

Correct Answer: 18 W

Solution: 

Power P = V^2 / R. Here, P = 9^2 / 3 = 81 / 3 = 27 W.

If a battery provides a voltage of 9 V and is connected to a circuit with a tota

Practice Questions

Q1
If a battery provides a voltage of 9 V and is connected to a circuit with a total resistance of 3 ohms, what is the power consumed by the circuit?
  1. 27 W
  2. 18 W
  3. 9 W
  4. 3 W

Questions & Step-by-Step Solutions

If a battery provides a voltage of 9 V and is connected to a circuit with a total resistance of 3 ohms, what is the power consumed by the circuit?
Correct Answer: 27 W
  • Step 1: Identify the voltage provided by the battery, which is 9 volts (V).
  • Step 2: Identify the total resistance in the circuit, which is 3 ohms (R).
  • Step 3: Use the formula for power, which is P = V^2 / R.
  • Step 4: Substitute the values into the formula: P = 9^2 / 3.
  • Step 5: Calculate 9^2, which is 81.
  • Step 6: Divide 81 by 3 to find the power: 81 / 3 = 27.
  • Step 7: Conclude that the power consumed by the circuit is 27 watts (W).
  • Ohm's Law – The relationship between voltage (V), current (I), and resistance (R) in an electrical circuit.
  • Power Calculation – The formula for calculating power (P) in an electrical circuit, which can be derived from Ohm's Law.
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