Question

Help please!!

. cenerator GO a tor GO -1200V) is connected to Soare -1200 4. (16 points) in a series ciut capacitor, and a 0.15- inductor a) What is the capacitance reactance b) What is the inductive reactance? c) What is the total impedance? d) What is the rms current drawn from the power supply? e) What is the rms voltage across the resistor? f) What is the rms voltage across the capacitor? B) What is the rms voltage across the inductor? h) What is the power factor and phase constant for this circuit?

Answer 1

In series circuit emax =120 V

Resistance R =50 ohms

The capacitance C = 20 micro farad

The inductance L = 0.15 H

And the frequency of the generator f =60 HZ

Now the capacitive reactance XC = 1/2πfc

Xc = 1/(2π*60*20*10^-6)

Xc = 132.629 ohms

This is the capacitance reactance

b)

The inductive reactance is

XL = 2πfL

XL = 2*π*60*0.15

XL = 56.54 ohms

This is the indicative reactance

C) now the impedance of the circuit

Z = R + j( XL - Xc )

Z = R + j ( 56.54 - 132.629)

Z = (50 - j 76.089 ) ohms

This is the impedance of the circuit

The magnitude of the impedance is

Z = (50² + 76.089-1/2

Z = 91.046 ohms

d) rms voltage of the power supply

VRMS = 120 /√2 = 84.85 V

Now the Rms current in the circuit will be

I rms = Vrms / Z = 84.85 / 91.046 = 0.9319 A

IRMS = 0.9319 A

This is the Rms current of the circuit