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Question -

Suppose the circuit in Exercise7.18 has a resistance of 15 Ω. Obtain the average power transferred to eachelement of the circuit, and the total power absorbed.



Answer -

Average power transferred to theresistor = 788.44 W

Average power transferred to thecapacitor = 0 W

Total power absorbed by thecircuit = 788.44 W

Inductance of inductor, L =80 mH = 80 × 10−3 H

Capacitance of capacitor, C =60 μF = 60 × 10−6 F

Resistance of resistor, R =15 Ω

Potential of voltagesupply, V = 230 V

Frequency of signal, ν =50 Hz

Angular frequency ofsignal, ω = 2πν= 2π × (50) = 100π rad/s

The elements are connected inseries to each other. Hence, impedance of the circuit is given as:

Current flowing in the circuit, 

Average power transferred toresistance is given as:

PRI2R

= (7.25)2 × 15 =788.44 W

Average power transferred tocapacitor, PC = Average power transferred toinductor, PL = 0

Total power absorbed by thecircuit:

P+ PC +PL

= 788.44 + 0 + 0 = 788.44 W

Hence, the total power absorbedby the circuit is 788.44 W.

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