An alternating voltage `E=200sqrt(2)sin(100t)` is connected to a `1` microfarad capacitor through an AC ammeter. The reading of the ammeter shall be

Explanation

`V =200 sqrt2 sin (100t) = V_(0) sin (omegat)`
`V_(0) = 200 sqrt2 V, omega = 100 rad//sec`
`X_(C) = (1)/(omegaC) = (1)/(100 xx 10^(-6)) = 10^(4) Omega`
`i_(0) = (V_(0))/(X_(C)) = (200sqrt2)/(10^(4)) =2sqrt2 xx 10^(-2) A`
`i_(mas) = (i_(0))/sqrt2= (2sqrt2xx10^(-2))/sqrt2 =20 xx 10^(-3) A =20mA`
Reading of ammeter `=20 mA`
An ac ammeter gives rms current
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