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An alternating current in a circuit is g...

An alternating current in a circuit is given by `I=20sin(100 pi t+0.05 pi)` A. The r.m.s value and the frequency of current respectively are

A

10 A and 100 Hz

B

10 A and 50 Hz

C

`10sqrt(2)` and 50 Hz

D

`10sqrt(2)A` and 100 Hz

Text Solution

Verified by Experts

The correct Answer is:
C
Given, `I=20 sin (100 pi t + 0.05 pi)`
Comparing with standard equation, we get
`I_(0)=20` and `omega = 100 pi`
`therefore I_(rms)=(I_(0))/(sqrt(2))=(20)/(sqrt(2))=10 sqrt(2)`
Now, `omega = 100pi` or `2pi upsilon = 100 pi`
or `upsilon = 50 Hz`.
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