If the amplitude increases by a factor of 3, how does the power change?

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Multiple Choice

If the amplitude increases by a factor of 3, how does the power change?

Explanation:
Power is proportional to the square of the amplitude. If the amplitude increases by a factor of 3, the power increases by 3^2 = 9. In electrical terms, P is proportional to V^2 (with resistance fixed), and the RMS value scales with the amplitude, so tripling the amplitude makes the power nine times larger. The same idea applies to wave intensity: it scales with amplitude squared. So the power becomes nine times the original. The other options would imply a linear change, a decrease, or no change, which doesn’t fit the squared relationship.

Power is proportional to the square of the amplitude. If the amplitude increases by a factor of 3, the power increases by 3^2 = 9. In electrical terms, P is proportional to V^2 (with resistance fixed), and the RMS value scales with the amplitude, so tripling the amplitude makes the power nine times larger. The same idea applies to wave intensity: it scales with amplitude squared. So the power becomes nine times the original. The other options would imply a linear change, a decrease, or no change, which doesn’t fit the squared relationship.

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