# 31.28. An L-R-C series circuit is constructed using a 175-22 resistor, a 12.5-F capacitor, and an 8.00-mH inductor, all con- nected across an ac source having a variable frequency and a voltage amplitude of 25.0 V. (a) At what angular frequency will the impedance be smallest, and what is the impedance at this fre- quency? (b) At the angular frequency in part (a), what is the maxi- mum current through the inductor? (c) At the angular frequency in part (a), find the potential difference across the ac source, the resistor, the capacitor, and the inductor at the instant that the cur- rent is equal to one-half its greatest positive value. (d) In part (c), how are the potential differences across the resistor, inductor, and capacitor related to the potential difference across the ac source?

Amara
To determine:(a) Power factor.(b) Average power delivered by the source.(c) When capacitor is replaced with another capacitors calculate the Average power delivered by the source.Answer: (a) Value of power factor is 1.(b) Average power delivered by the source is.(c) When capacitor is replaced with another capacitors calculate the Average power delivered by the source is.Explanation:(a)The expression for power factor is,At resonant frequency.The expression for impedance is,Substitute for in power factor equation.(b)Average power supplied by the source is, (c)When capacitor is replaced.

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