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If a 5Ω resistor is connected to a 15V battery, what is the power dissipated by

Practice Questions

Q1
If a 5Ω resistor is connected to a 15V battery, what is the power dissipated by the resistor? (2023)
  1. 15W
  2. 20W
  3. 25W
  4. 30W

Questions & Step-by-Step Solutions

If a 5Ω resistor is connected to a 15V battery, what is the power dissipated by the resistor? (2023)
  • Step 1: Identify the values given in the problem. We have a resistor of 5Ω and a battery of 15V.
  • Step 2: Recall the formula for power (P) in terms of voltage (V) and resistance (R). The formula is P = V^2 / R.
  • Step 3: Substitute the values into the formula. Here, V = 15V and R = 5Ω.
  • Step 4: Calculate V^2. This means 15V * 15V = 225V^2.
  • Step 5: Now divide 225V^2 by 5Ω. So, 225V^2 / 5Ω = 45W.
  • Step 6: The power dissipated by the resistor is 45W.
  • Ohm's Law and Power Calculation – Understanding the relationship between voltage, resistance, and power in electrical circuits.
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