1.

In the circuit shown in figure find a. the equivalent capacitance and b. the charge stored in each capacitor.

Answer» a. the capacitors are in parallel. Hence, the equivalent capacitance is
`C=C_1+C_2+C_3`
or `C=(1+2+3)=6muF`
b. total charge drawn from the battery `K`
`q=CV-6xx100muC=600muC`
This charge will be distributed in the ratio of their capacities. Hence,
`q_1:q_2:q_3=C_1:C_2:C_3=1:2:3`
`:. q_1=(1/(1+2+3))xx600=100muC`
`q_2=(2/(1+2+3))xx600=200muC`
and `q_3=(3/(1+2+3))xx600=300muC`
Alternate solution: Since the capacitors are in parallel the `PD` across each of them in `100V`.
Therefore from `q=CV`, the charge stored in `1muF` capacitor is `100muC`, in `2muF` capacitor is `200muC` and that in `3muF` capacitor is `300muC`


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