1.

Find out equivalent capacitance between A and B

Answer»

Solution :` C=(Ain _0)/( d) `
` (##MOT_CON_JEE_PHY_C25_SLV_030_S01.png" width="80%">
` (1)/(C_(EQ) ) =(1)/(c) +(2)/(3C) =(5)/( 3C) `
` rArr "" C_(eq) =(3C)/( 5) =(3Ain _0)/( 5d) `
Alternative method :
` C=(Q)/( V) = (X+y)/(V_(AB) ) `
` C= (Q)/(V)= (x+y)/( V_( AB) ) `
` (##MOT_CON_JEE_PHY_C25_SLV_030_S02.png" width="80%">
Potential of 1 and 4 is same
` (y)/( Ain _0) =( 2X)/( A in _0) "" y =2x`
` V= ((2Y +x)/( Ain _0)) d `
`C= ( (x+ 2x )A in _0)/( (5x )d) =( 3A in _0) /( 5d) `


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