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If a 9V battery is connected to a 3Ω resistor, what is the energy consumed in 10

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Question: If a 9V battery is connected to a 3Ω resistor, what is the energy consumed in 10 seconds? (2023)

Options:

  1. 30J
  2. 90J
  3. 60J
  4. 45J

Correct Answer: 90J

Exam Year: 2023

Solution: 

Power (P) = V²/R = 9²/3 = 27W. Energy (E) = P * t = 27W * 10s = 270J.

If a 9V battery is connected to a 3Ω resistor, what is the energy consumed in 10

Practice Questions

Q1
If a 9V battery is connected to a 3Ω resistor, what is the energy consumed in 10 seconds? (2023)
  1. 30J
  2. 90J
  3. 60J
  4. 45J

Questions & Step-by-Step Solutions

If a 9V battery is connected to a 3Ω resistor, what is the energy consumed in 10 seconds? (2023)
  • Step 1: Identify the voltage of the battery, which is 9V.
  • Step 2: Identify the resistance of the resistor, which is 3Ω.
  • Step 3: Use the formula for power (P) which is P = V²/R.
  • Step 4: Substitute the values into the formula: P = 9²/3.
  • Step 5: Calculate 9², which is 81.
  • Step 6: Divide 81 by 3 to find the power: 81/3 = 27W.
  • Step 7: Identify the time duration, which is 10 seconds.
  • Step 8: Use the formula for energy (E) which is E = P * t.
  • Step 9: Substitute the power and time into the formula: E = 27W * 10s.
  • Step 10: Calculate the energy: 27 * 10 = 270J.
  • Ohm's Law – The relationship between voltage (V), current (I), and resistance (R) in an electrical circuit.
  • Power Calculation – The formula for calculating power in an electrical circuit, P = V²/R.
  • Energy Consumption – The calculation of energy consumed over time, E = P * t.
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