Two capacitors of `10muF` and `20 muF` are connected in series with a `30 V` battery. The charge on the capacitors will be, respectively

Options

A. `100muC,100muC`
B. `200muC,100muC`
C. `200muC,200muC`
D. `100muC,200muC`

Answer

C

Explanation

The equivalent capacitance, for capacitors in series is

`(1)/(C_(s))=(1)/(C_(1))+(1)/(C_(2))=(1)/(10)+(1)/(20)`
`impliesC_(s)=(20)/(3)muF`
Also, `q=CV=(20)/(3)xx30=200muC`
this charge on the two capacitors in series is same.
hence, `q'=200muC,q''=200muC`