Question

A resistor of 200 ohm and a capacitor of 15micro farad are connected in series to a 220v ,50hz ac source.Calculate the current in the circuit and the rms voltage across the resistor and the capacitor.Is the algebraic sum of these voltages more than the source voltage

Answer 1

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

Xc = 1/ We

 = 1 / 100 * pi * 15 * 10^-6

 = 10^6 / 314 * 15

 = 212.31 ohm

So, impedance

Z = sqrt (R^2 + X^2)

Z = sqrt (200^2 + 212.31^2)

 = 291.67 ohm

 

I =  E / Z = 220 sin (100* pi * t) / 291.67

 = 0.75 sin (100 * pi *t)

 

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

Answer 2

Answer:

hope this answer helps you.