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

An alternating current in a circuit is given by I=20sin(100 pi t+0.05

1.	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
Answer» 10 A and 100 Hz 10 A and 50 Hz `10sqrt(2)` and 50 Hz `10sqrt(2)A` and 100 Hz SOLUTION :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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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

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