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Q.

A capacitor of capacitance C is initially charged to a potential difference of V volt. Now it is connected to a battery of 2V volt with opposite polarity. The ratio of heat generated to the final energy stored in the capacitor will be

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a

1.75

b

2.25

c

1/2

d

2.5

answer is B.

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Detailed Solution

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Initial charge Q = CV (plate A is positive)
 

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Final charge Q’ = 2CV = 2Q (plate B is positive)

Charge flow through the 2V emf cell is

 ΔQ=3Q=3CV

Wcell=(ΔQ)(2V)=6CV2

Uf=12C(2V)2=2CV2

Heat  =Wcell+UiUf

   =6CV2+12CV22CV2=4.5CV2

HeatUf=4.5CV22CV2=2.25      

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