Question

A `1 mu F` capacitor is connected to a 220 V, 50 Hz a.c. source. Find the virtual value of current through the circuit if a resistor of `100 Omega` is connected in series with the capacitor.

Answer 1

Here, `C = 1 mu F = 10 ^(-6) F, E_(v) = 220 V, v = 50 Hz`
`R = 100 Omega, I_(v) = ?`
`X_(C ) = (1)/(omega C) = (1)/(2 pi v C ) = (1)/(2 xx 3.14 xx 50 xx 10^(-6))`
` = 3.185 xx 10^(-3) ohm`
`Z = sqrt(R^(2) + X_(C )^(2)) = sqrt(100^(2) + (3.185 xx 10^(3))^(2))`
` = 3186.6 ohm`
`I_(v) = (E_(v))/(Z) = (200)/(3186.6) A = 0.069 A`