An alternating current in a circuit is g...

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

A

10 A and 100 Hz

B

10 A and 50 Hz

C

10`sqrt 2`A and 50 Hz

D

10`sqrt 2`A and 100 Hz

Verified by Experts

The correct Answer is:

C

I = 20 sin(100`pi`t + `0,05pi`)
`therefore` `underset(rms)(I)` = 20 / `sqrt 2 ` = 10`sqrt 2` A
`omega` = `100pi` `adr` f = 50Hz

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