Two insulated metallic spheres of `3mu F` and `5 muF` capacitances are charged to `300 V` and `500 V` respectively. The energy loss, when they are connected by a wire is

Options

A. 400V
B. 425V
C. 350V
D. 375V

Answer

B

Explanation

`C_(1)= 3mu F V_(1)= 300v`
`C_(2)= 5mu F V_(2)=500v`
`V_(C )= (C_(1)V_(1) + C_(2) V_(2))/(C_(1) + C_(2))= (3 xx 300 +5 xx 500)/(3+5) = (900 + 2500)/(8)`
`(3400)/(8)= 425V`