Q.

Find the equivalent capacitance between A and B .

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a

10C5

b

5C7

c

10C7

d

7C10

answer is C.

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Detailed Solution

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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