What is the power consumed by a 10Ω resistor when a current of 3A flows through

Practice Questions

Q1
What is the power consumed by a 10Ω resistor when a current of 3A flows through it? (2021)
  1. 90W
  2. 30W
  3. 60W
  4. 45W

Questions & Step-by-Step Solutions

What is the power consumed by a 10Ω resistor when a current of 3A flows through it? (2021)
  • Step 1: Identify the values given in the problem. We have a resistor with a resistance of 10 ohms (Ω) and a current of 3 amperes (A) flowing through it.
  • Step 2: Recall the formula for calculating power (P) in a resistor, which is P = I^2 * R, where I is the current and R is the resistance.
  • Step 3: Substitute the values into the formula. Here, I = 3A and R = 10Ω.
  • Step 4: Calculate I^2. This means multiplying the current by itself: (3A) * (3A) = 9A^2.
  • Step 5: Now multiply the result from Step 4 by the resistance: 9A^2 * 10Ω = 90W.
  • Step 6: The final answer is that the power consumed by the resistor is 90 watts (W).
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