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Questions  

Find the equivalent capacitance between A and B

 

.

a
10C5
b
5C7
c
10C7
d
7C10

detailed solution

Correct option is C

q1+q2=q…………..(1)Using KVL, −q1C−q32C+q22C=0⇒q2−q3−2q1=0………(2)Plates inside dotted line form an isolated system.Hence, q2+q3−q1=0………..(3)Solving these equations, we getq1=25q, q2=35q  and  q3=−q5 Now, let Ceq be the equivalent capacitance between A and B . VA−VB=qCeq=q1C+q22C⇒qCeq=2q5C+3q10C=7q10C⇒Ceq=107C

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