Two isolated charged conducting spheres of radii a and b produce the same electric field near their surface. The ratio of electric potentials on their surfaces is

Options

A. `a/b`
B. `b/a`
C. `a^2/b^2`
D. `b^2/a^2`

Answer

A

Explanation

`E=sigma/epsilon_0`
`E_1=E_2`
`:. sigma_1 =sigma_2`
`V=(sigmaR)/epsilon_0`
or `VpropR` (as `sigmararr` same)`
`:. V_1/V_2=R_1/R_2=a/b`