Question

An a.c. voltage of 100 V, 50 Hz is connected across a 20 ohm resistor and 2 mH inductor in series. Calculate ltbr gt (i) impedance of the circuit,
(ii) rms current in the circuit.

Answer 1

Here,`E_(v) = 100 V, v = 50 Hz`
`R = 20 ohm, L = 2 mH = 2 xx 10^(-3) H`
`Z = ? I_(v) = ?`
`X_(L) = omega L = 2 pi v L = 2 xx (22)/(7) xx 50 xx 2 xx 10^(-3)`
`0.63 Omega`
`Z = sqrt(R^(2) +X_(L)^(2)) = sqrt(20^(2) + 0.63^(2)) = 20.0 ohm`
`I_(v) = (E_(v))/(Z) = (100)/(20.0) 5.0 A`