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An alternating emf given by equation e...

An alternating emf given by equation
`e=300sin(100pi)t V`
is applied to a resistance `100 Omega`. The rms current through the circuit is (in amperes).

A

`3/sqrt(2)`

B

`9/sqrt(2)`

C

3

D

`6/sqrt(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
The given equation, e=`300 sin (100pi)t]`..............(i)
We know that, `e=e_(0)sinomegat`............(ii)
On comparing Eqs (i) and (ii), we get
`e_(0)` = 300 V and `R= 100Omega`
The rms current through the circuit `I_(rms) =?`
`I_(rms) = e_(0)/sqrt(2R) = 300/(sqrt(2) xx 100) = 3/sqrt(2)` A
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