Find the reactance of a capacitor `(C = 200 muF)` when it is connected to (a) `a 10 Hz AC source`, (b) `a 50 Hz AC` source and ( c) `a 500 Hz AC` source.

Explanation

The rms current is
`i_(rms) = i_0/sqrt(2) = 3.5 A`.
The time period is
`T = 1/v = 1/60 s`.
The current takes one fourth of the time period to reach the peak value starting from zero. Thus, the time required is
`t = T/4 = 1/240 s`.