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Question

Question: In an ac circuit I = 100 sin 200 πt. The time required for the current to achieve its peak value wil...

In an ac circuit I = 100 sin 200 πt. The time required for the current to achieve its peak value will be

A

1100sec\frac{1}{100}\sec

B

1200sec\frac{1}{200}\sec

C

1300sec\frac{1}{300}\sec

D

1400sec\frac{1}{400}\sec

Answer

1400sec\frac{1}{400}\sec

Explanation

Solution

The current takes T4\frac{T}{4}sec to reach the peak value.

In the given question 2πT=200πT=1100sec\frac{2\pi}{T} = 200\pi \Rightarrow T = \frac{1}{100}\sec

\thereforeTime to reach the peak value =1400sec= \frac{1}{400}\sec