1.

A system of 2 capacitors of capacitance 2muF and 4muF is connected in series across potential difference of 6 V. The electric charge and energy stored in the system are

Answer»

`10 mu C` and `30 mu J`
`36 mu C` and `108 mu J`
`8 mu C` and `24 mu J`
`1 mu C` and `3 mu J`

Solution :According to the QUESTION, we can draw the following diagram.

The capacitor are connected in series combination,
So, `(1)/(C_(EQ))=(1)/(C_(1))+(1)/(C_(2))`
`(1)/(C_(eq))=(1)/(2)+(1)/(4)`
`rArr C_(eq)=(4)/(3)mu F`
We KNOW that,
`Q = CV = (4)/(3)xx 6 = 8 mu C`
`Q=CV=(4)/(3)xx6=8 mu C`
Energy, `E=(1)/(2)CV^(2)=(1)/(2)xx(4)/(3)xx(6)^(2)`
`= 24 mu J`


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