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The alternating current in a circuit is ...

The alternating current in a circuit is given by `I = 50sin314t`. The peak value and frequency of the current are

A

`I_(0)`=25 A and f=100Hz

B

`I_(0)`=50 A and f=50 Hz

C

`I_(0)` = 50 A and f=100 Hz

D

`I_(0)`=25 A and f=50 Hz

Text Solution

Verified by Experts

The correct Answer is:
B

From standard equation, we have
`I= I_(0)sinomegat`...............(i)
Given, I=50sin314t ..............(ii)
Comparing Eqs. (i) and (ii), we get
`I_(0)`= 50 A, `omega = 2pif` = 314 `rArr f=314/(2 xx 3.i14) = 50 Hz`
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