The sinusoidal voltage source in the circuit in Figure 1is d

The sinusoidal voltage source in the circuit in (Figure 1)is developing a voltage equal to 50sin400tV. Suppose that R = 360 .

Part A

Find the Thevenin voltage with respect to the terminals a,b.

Express your answer in complex form using three significant figures.

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Part B

Find the Thevenin impedance with respect to the terminals a,b.

Express your answer in complex form using three significant figures.

The sinusoidal voltage source in the circuit in (Figure 1)is developing a voltage equal to 50sin400tV. Suppose that R = 360 .

Part A Find the Thevenin voltage with respect to the terminals a,b. Express your answer in complex form using three significant figures. VTh= V SubmitMy AnswersGive Up Part B Find the Thevenin impedance with respect to the terminals a,b. Express your answer in complex form using three significant figures. ZTh=

Solution

w=400 rad/sec

xl=jwl=j400*400*10^-3=j160 ohms

xc=1/(jwc)=1/(j400*31.25*10^-6)=-j80 ohms

apply nodal analysis

(va-50<0)/360+va/(-j80)+va/(j160)=0

va=[50<0*j160*-j80]/[160*80+360*-j80+360*j160]

va=20.306<-66.0375 volts

vth=va=20.306<-66.0375 volts

isc:

isc=50<0/(360)=0.138<0 amps

zth=vth/isc

zth=20.306<-66.0375/(0.138)=147.1449<-66.0375 ohms.