Two insulated spherical conductors of capacities `1muF and 2muF` are charged to 100 V and 200 V respectively. The conductors are then brought in contact. The charges on the sphere after contact are

Options

A. `1.6xx10^(-4)C,3.3xx10^(-4)C`
B. `2.6xx10^(-4)C,3.3xx10^(-4)C`
C. `1.6xx10^(-4)C,4.3xx10^(-4)C`
D. `2.6xx10^(-4)C,4.3xx10^(-4)C`

Answer

A

Explanation

`V=(C_(1)V_(1)+C_(2)V_(2))/(C_(1)+C_(2))`
`=(1xx10^(-6)xx100+2xx10^(-6)xx200)/(1xx10^(-6)+2xx10^(-6))=500/3V`
Now," "`Q_(1)^(1)=C_(1)V=(1xx10^(-6)xx500)/3=1.6xx10^(-4)C`
`Q_(2)^(1)=C_(2)V=(2xx10^(-6)xx500)/3`
`=3.3xx10^(-4)C`