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In a circuit with a 10Ω resistor and a 5V battery, what is the power consumed by

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Question: In a circuit with a 10Ω resistor and a 5V battery, what is the power consumed by the resistor? (2023)

Options:

  1. 1W
  2. 2W
  3. 5W
  4. 10W

Correct Answer: 2W

Exam Year: 2023

Solution: 

Power P = V^2/R = 5^2/10 = 25/10 = 2.5W.

In a circuit with a 10Ω resistor and a 5V battery, what is the power consumed by

Practice Questions

Q1
In a circuit with a 10Ω resistor and a 5V battery, what is the power consumed by the resistor? (2023)
  1. 1W
  2. 2W
  3. 5W
  4. 10W

Questions & Step-by-Step Solutions

In a circuit with a 10Ω resistor and a 5V battery, what is the power consumed by the resistor? (2023)
  • Step 1: Identify the values given in the problem. We have a resistor of 10Ω and a battery of 5V.
  • Step 2: Recall the formula for power (P) in a resistor, which is P = V^2 / R.
  • Step 3: Substitute the values into the formula. Here, V = 5V and R = 10Ω.
  • Step 4: Calculate V^2. This means 5^2 = 25.
  • Step 5: Now divide 25 by the resistance (10). So, 25 / 10 = 2.5.
  • Step 6: The power consumed by the resistor is 2.5W.
  • Ohm's Law and Power Calculation – Understanding the relationship between voltage, resistance, and power in electrical circuits.
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