The potential difference between points `a` and `b` of circuits shown in figure is

Options

A. `((E_1+E_2)/(C_1+C_2))C_2`
B. `((E_2-E_2)/(C_1+C_2))C_2`
C. `((E_1+E_2)/(C_1+C_2))C_1`
D. `((E_1-E_2)/(C_1+C_2))C_1`

Answer

C

Explanation

`q=(E_1+E_2)C_(n et)`
`=(E_1+E_2)(C_1C_2)/(C_2+C_2)`
`V_(ab)=q/C_2=((E_1+E_2)/(C_1+C_2))C_1`