What is the power consumed by a 100Ω resistor when a current of 0.5A flows throu

Practice Questions

Q1
What is the power consumed by a 100Ω resistor when a current of 0.5A flows through it? (2020)
  1. 25W
  2. 50W
  3. 100W
  4. 12.5W

Questions & Step-by-Step Solutions

What is the power consumed by a 100Ω resistor when a current of 0.5A flows through it? (2020)
  • Step 1: Identify the values given in the problem. We have a resistor with a resistance (R) of 100 ohms (Ω) and a current (I) of 0.5 amperes (A).
  • Step 2: Recall the formula for power (P) in terms of current and resistance, which is P = I^2 * R.
  • Step 3: Substitute the value of current (I = 0.5A) into the formula. This gives us P = (0.5A)^2 * R.
  • Step 4: Calculate (0.5A)^2. This equals 0.25A^2.
  • Step 5: Now multiply 0.25A^2 by the resistance (R = 100Ω). So, P = 0.25 * 100.
  • Step 6: Perform the multiplication: 0.25 * 100 = 25.
  • Step 7: Conclude that the power consumed by the resistor is 25 watts (W).
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