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If four different resistors are used to pass electric current for different time durations, then which of the following will produce the largest heating effect in joules?

Correct answer: D. When 3 amps current is passed through 1 ohm resistor for 1 sec.

  • A. When 1 amp current is passed through 3 ohm resistor for 2 sec.
  • B. When 1 amp current is passed through 2 ohm resistor for 3 sec.
  • C. When 2 amps current is passed through 1 ohm resistor for 2 sec.
  • D. When 3 amps current is passed through 1 ohm resistor for 1 sec.

Explanation

To determine the largest heating effect in joules, we use the formula H = I^2 * R * t for each scenario:Option A: H = (1^2) * 3 * 2 = 6 joules.Option B: H = (1^2) * 2 * 3 = 6 joules.Option C: H = (2^2) * 1 * 2 = 8 joules.Option D: H = (3^2) * 1 * 1 = 9 joules.Option D produces the largest heating effect of 9 joules. The other options produce less heat because either the current, resistance, or time duration is not as optimal for maximizing the heat produced.

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