1.

Three capacitors C_1,C_2,andC_3 of capacitance 1muF, 2muF, and 3muF, respectively, are charged separately as shown in the figure. Now these charged capacitors are connected to a battery of epsilon = 20 V and an uncharged capacitor of C = 2muF as shown in figure. , The charge oncapacitor marked C is

Answer»

`3.75 muC`
`7.5 muC`
`15 muC`
none of these

Solution :
The circuit can be redrawn as
Conserving CHARGES on LOWER plates, we get
`-[(x+20)1+(x+2)2+(x+20)3+2x]=-60`
or `x=-(15)/(2)V`
`|Q_(1muF)|=12.5muC`
`|Q_(2muF)|=25muC`
`|Q_(3muF)|=37.5muC`
`|Q_(2muF)|=15muC`


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