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Find charge flown through battery and heat generated in the circuit after shifting switch from S_i "to" S_2 |
Answer» Solution :Initially  For node x ` (x- v) 2C+ (x-v) c+ (x+0) c=0 ` `rArr "" 4x =3v""rArr "" x= (3v)/( 4) `  ` (x'-0)C+ (x'-0) 2C+ (x'-V) C+0` `rArr ""x' =(V)/(4) ` So now CHARGE on capacitor So charge FLOW from battery  ` Q= ( (3CV)/(4) -(CV)/( 4) )=(CV)/(2) ` So heat generated ` Dellta H =QV -[ {(1)/(2) C((3V)/(4))^(2) +(1)/(2) (2C) ((V)/(4)) ^(2) +(1)/(2) xx C xx ((V)/(4) ) ^(2)} ` ` {(1)/(2) C((V)/(4))^(2)+ (1)/(2) (2C) ((V)/(4))^(2) +(1)/(2) xx Cxx ((3V)/(4))^(2) } ` |
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