A) B) C) D) E) F) G) An AC generator supplies an rms voltage of 240 Vat 60.0 Hz

Question

A)

B)

C)

D)

E)

F)

G)

An AC generator supplies an rms voltage of 240 Vat 60.0 Hz Its connected in series with a 0.200 Hinductor, a 90 F capacitor and a 241 resistor. mpedance of the circuit? Submit Answer Units required. Tries 0/20 Previous Tries What is the rms current through the resistor? Submit Answer Tries 0/20 What is the average power dissipated in the circuit? Submit Answer Tries 0/20 What is the peak current through the resistor? Submt Answer Tries 0/20 What is the peak voltage across the inductor? Submit Answer Tries 0/20 What is the peak voltage across the capacitor? Submit Answer The qenerator frequency is now changed so that the circuit is in resonance. What is that new (resonance) frequency? Submit Answer Tries 0/20

Explanation / Answer

As pe rguide lines i am working first four parts

the impedance of the circuit isgiven by

                   Z = [ R2 + ( XL - XC)2]

Z = [ R2+ ( 2fL - 1 /( 2fC))2]

Z= (241^2 + (2*pi*60*0.2 - 1/(2*pi*60*5.9*10^-6))^2)

=445.3 ohm

b)   the rms current through theresistor is given by

                    I = Vrms /z =240 V/445.3 =0.538 A

    c) the average power dissipatedin the circuit is given by

                    Pavg = Vrms Irms

=240 ( 0.538 ) =129.34 W

d)   the peak current through theresistor is given by

                     IR = 2 Vrms / R = 2 I rms = 2 ( 0.538 ) = 0.760 A

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