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If a 12V battery is connected to a 4 ohm resistor, what is the power dissipated

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Question: If a 12V battery is connected to a 4 ohm resistor, what is the power dissipated by the resistor?

Options:

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

Correct Answer: 24 W

Solution: 

Power (P) can be calculated using P = V^2 / R = 12V^2 / 4Ω = 36 W.

If a 12V battery is connected to a 4 ohm resistor, what is the power dissipated

Practice Questions

Q1
If a 12V battery is connected to a 4 ohm resistor, what is the power dissipated by the resistor?
  1. 12 W
  2. 24 W
  3. 36 W
  4. 48 W

Questions & Step-by-Step Solutions

If a 12V battery is connected to a 4 ohm resistor, what is the power dissipated by the resistor?
  • Step 1: Identify the voltage (V) of the battery, which is 12 volts.
  • Step 2: Identify the resistance (R) of the resistor, which is 4 ohms.
  • Step 3: Use the formula for power (P) which is P = V^2 / R.
  • Step 4: Substitute the values into the formula: P = (12V)^2 / 4Ω.
  • Step 5: Calculate (12V)^2, which is 144.
  • Step 6: Divide 144 by 4Ω to find the power: 144 / 4 = 36.
  • Step 7: Conclude that the power dissipated by the resistor is 36 watts.
  • 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, specifically using P = V^2 / R.
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