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If a 9V battery is connected to a 3Ω resistor, what is the power consumed by the

Practice Questions

Q1
If a 9V battery is connected to a 3Ω resistor, what is the power consumed by the resistor?
  1. 3W
  2. 9W
  3. 27W
  4. 1W

Questions & Step-by-Step Solutions

If a 9V battery is connected to a 3Ω resistor, what is the power consumed by the resistor?
  • Step 1: Identify the voltage (V) from the battery, which is 9 volts.
  • Step 2: Identify the resistance (R) of the resistor, which is 3 ohms.
  • Step 3: Use the power formula P = V^2 / R to calculate the power.
  • Step 4: Substitute the values into the formula: P = (9V)^2 / 3Ω.
  • Step 5: Calculate (9V)^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 resistor is 27 watts.
  • Ohm's Law – The relationship between voltage (V), current (I), and resistance (R) in an electrical circuit, where V = I * R.
  • Power Calculation – The formula for calculating power (P) in an electrical circuit, given by P = V^2 / R.
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