In the arrangement shown, a potential difference is applied between points A and B. No capacitor can withstand a potential difference of more than 100 V

Options

A. The magnitude of the maximum potential difference that can exist between points A and B is 300 V
B. The maximum potential difference that can exist across `C_(2)` si 50 V
C. The maximum charge that can be stored by `C_(3)` is 2 mC
D. The maximum energy that can be stored in the three capacitor arrangement is 190 mJ

Answer

B, C, D

Explanation

All capacitors are in series, therefore charge on each capacitor will be same, when connected across a potential source. The capacitor with minimum capacitance will have maximum potential difference across it
(evident from `V = (Q)/(C) , Q` being same for all)
So 100 V potential difference can exist across `C_(1)`, then charge on it would be `100 V xx 20 mu F = 2000 muC`

`{:(2000 muC,2000muC,2000 muC),(V_(1)=100V,V_(2)=50 V,V_(3) =40 V),(E_(1)=(Q^(2))/(C_(1)),E_(2)=(Q^(2))/(C_(2)),E_(3)=(Q^(2))/(C_(3))):}`
`E = E_(1)+E_(2)+E_(3) = 190 mJ`