What is the total power consumed in a circuit with two 5Ω resistors in series co

Practice Questions

Q1
What is the total power consumed in a circuit with two 5Ω resistors in series connected to a 30V battery? (2023)
  1. 90W
  2. 60W
  3. 30W
  4. 45W

Questions & Step-by-Step Solutions

What is the total power consumed in a circuit with two 5Ω resistors in series connected to a 30V battery? (2023)
  • Step 1: Identify the resistors in the circuit. We have two resistors, each with a resistance of 5Ω.
  • Step 2: Calculate the total resistance in the circuit. Since the resistors are in series, add their resistances: 5Ω + 5Ω = 10Ω.
  • Step 3: Identify the voltage of the battery. The battery provides a voltage of 30V.
  • Step 4: Use the power formula to calculate the total power consumed in the circuit. The formula is P = V²/R.
  • Step 5: Substitute the values into the formula: P = 30² / 10.
  • Step 6: Calculate 30², which is 900.
  • Step 7: Divide 900 by 10 to find the power: 900 / 10 = 90W.
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