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Question

An alternating current is represented by the equation I = I∫sinÏ€t which of the following equation represents an alternating current of frequency and amplitude twice that of the above current ?

A
I = 2I∫Sin(Ï€t/2)
B
I = 2I∫Sin(2Ï€t)
✓ Official correct answer
C
I = 2ISinπt
D
I = I∫sin(2Ï€t)

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A
I = 2I∫Sin(Ï€t/2)
Official option

No member explanations yet for this option.

B
I = 2I∫Sin(2Ï€t)
Official option

No member explanations yet for this option.

C
I = 2ISinπt
Official option

No member explanations yet for this option.

D
I = I∫sin(2Ï€t)
Official option

No member explanations yet for this option.

Explanation
Doubling amplitude gives coefficient 2I0, and doubling frequency doubles the angular frequency term in the sine argument from πt to 2πt, giving I=2I0 sin(2πt).

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