Question

Two isolated charged conducting spheres of radic a and h produce the same electric field near their surfaces. Find the ratro of electric potentials on their surfaces

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

Answer 1

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

Since electric field near surfaces are equal

$\frac{k{q}_1}{a^2}=\frac{k{q}_2}{b^2}$

$\Rightarrow \frac{q_1}{q_2}=\frac{a^2}{b^2}$

$\sqrt{2}=\frac{1}{4\pi {\in }_o}\frac{q}{d}$

$d_{2}a,d_{2}b$

The ratio of potential on their surfaces

$\frac{k{q}_1}{a}\frac{b}{k{q}_2}=\frac{q_1}{q_2}\cdot \frac{b}{a}$

$\Rightarrow \frac{a^2}{b^2}\frac{b}{a}=\frac{a}{b}$

The ratio of electric potential on surface in $a/b$.