Two charged condu

Let a be the radius of the sphere A, Q_A be the charge on the sphere, and C_A be the capacitance of the sphere. Let b be the radius of the sphere B, Q_B be the charge on the sphere, and C_B be the capacitance of the sphere. Since, the two spheres are connected with wire, their potential V is equal.

Electric field generated by a charge, E =

Where,

q = charge

d = distance from origin

ϵ₀ = permittivity of space

Let E_A be the electric field for sphere A and E_B be the electric field for sphere B. Therefore their ratio,

=

However, = and =

⇒ =

∴ = =

Hence, the ration of electric fields at surface is