Question

An A.C generator produce current given by I=100sin100Πt. It will achieve value of 50 A after how many seconds?

Answer 1

Answer:

Explanation:

The voltage of an A.C. source varies with time according to the equation V = 50sin100πtcos100πt, where t is in seconds and V is in volts. Then: . = 25V.

Answer 2

According to the given equation,

I = 100 sin(100π×t),

Means,

w = 100π,

T = 2π/W = 1/50 = 0.02 second.

Sin achieve 1/2 of it's magnitude in T/12, 5T/12, 7T/17 and 11T/12 seconds.

If we consider first 1/2 magnitude then it is achieved in T/12 second.

Current achieve 50 Amps at t = T/12 = 0.02/12 = 1.667 ms.

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