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

Options

A. `10 mu C` and `30 mu J`
B. `36 mu C` and `108 mu J`
C. `8 mu C` and `24 mu J`
D. `1 mu C` and `3 mu J`

Answer

C

Explanation

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`