plz answer this question :- A resistor of 200 ohm and a capacitor of 15 micro F are connected in series to a 220V, 50 Hz a.c. source . Calculate the current in the circuit and the r.m.s. voltage across the resistor and capacitor.
Given that
R = 200Ω
C = 15 μF = 15 × 10–6 F
ξ = ξ sinωt
ξ = 220 V
f = 50 Hz
W = 2πf = (100π) rad/s
ξ = 220 sin (100π)
Reactance of capacitor
So, impedance
Irms = 0.75A
Voltage across capacitor VR = Irms × XC
= 0.75 × 200
= 150 volt
Voltage across capacitor VC = Irms × XC
= 0.75 × 212.31
= 159.23 volt