alternating-currents Question 26

Question: Q. 15. (i) When an ac source is connected to an ideal capacitor show that the average power supplied by the source over a complete cycle is zero.

(ii) A lamp is connected in series with a capacitor. Predict your observation when the system is connected first across a dc and then an ac source. What happens in each case if the capacitance of the capacitor is reduced?

A&E [Delhi Comptt. I, II, III 2013]

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Solution:

Ans. (i) When an ideal capacitor is connected with ac source, the current flow continuously but due to dielectric in between the plates of capacitor, there is no current, i.e.,

Iavg=0 Pavg=V×Iavg Pavg=0

(ii) For dc, lamp will not shine as capacitor blocks dc even if we reduce the capacitance, the lamp will not shine.

1

Lamp will shine, if ac is used on reducing C, with increase of impedance.

Hence, lamp will shine less brightly.

1

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