An uncharged capacitor is fully charged with a battery

Asked by admin @ 23/08/2021 in Physics viewed by 350 People

An uncharged capacitor is fully charged with a battery. The ratio of energy stored in the capacitor to the work done by the battery in this process is

(1) 1:2(2) 2:1(3) 1:1(4) 2:3

Answered by admin @ 23/08/2021

answer : option (1) 1 : 2

an uncharged capacitor of capacitance C is fully charged with a battery of EMF ε.

then stored in capacitor, Q = Cε

now workdone by the battery in this process , W = charge stored in capacitor × EMF of battery

= Qε = Cε²

energy stored in the capacitor, U = 1/2 Cε²

so ratio of energy stored to the workdone by this process = (1/2Cε²)/(Cε²) = 1/2

hence option (1) is correct choice.

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