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If a circuit has a total resistance of 12Ω and a voltage of 24V, what is the pow

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Question: If a circuit has a total resistance of 12Ω and a voltage of 24V, what is the power consumed by the circuit?

Options:

  1. 48 W
  2. 24 W
  3. 12 W
  4. 36 W

Correct Answer: 48 W

Solution:

Power P = V²/R = 24² / 12 = 48 W.

If a circuit has a total resistance of 12Ω and a voltage of 24V, what is the pow

Practice Questions

Q1
If a circuit has a total resistance of 12Ω and a voltage of 24V, what is the power consumed by the circuit?
  1. 48 W
  2. 24 W
  3. 12 W
  4. 36 W

Questions & Step-by-Step Solutions

If a circuit has a total resistance of 12Ω and a voltage of 24V, what is the power consumed by the circuit?
  • Step 1: Identify the given values. We have a total resistance (R) of 12 ohms (Ω) and a voltage (V) of 24 volts (V).
  • Step 2: Use the formula for power (P) in a circuit, which is P = V² / R.
  • Step 3: Substitute the values into the formula. Replace V with 24 and R with 12: P = 24² / 12.
  • Step 4: Calculate 24 squared (24²). This equals 576.
  • Step 5: Divide 576 by 12 to find the power: 576 / 12 = 48.
  • Step 6: Conclude that the power consumed by the circuit is 48 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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