Question

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

• A. $\frac{a}{b}$
• B. $\frac{b}{a}$
• C. $\frac{a^2}{b^2}$
• D. $\frac{b^2}{a^2}$

Answer 1

The correct option is A $\frac{a}{b}$

Let E be the electric field near their surfaces.

here, $V_a=Ea$ and $V_b=Eb$
Thus, $\frac{V_a}{V_b}=\frac{a}{b}$