Question

Two charged conducting spheres of radii a and b are connected to each other by a conducting wire. The ratio of charges of the two spheres respectively is:

• A. $\sqrt{ab}$
• B. ab
• C. $\frac{a}{b}$
• D. $\frac{b}{a}$

Answer 1

Answer: (C)

$\frac{a}{b}$

Answer 2

The potential at the surface of a conducting sphere is given by:

$V = \frac{Kq}{r}$.

Since the two spheres are connected, their potentials will be the same:

$\frac{Kq_1}{a} = \frac{Kq_2}{b}.$

Simplifying:

$\frac{q_1}{q_2} = \frac{a}{b}.$

Final Answer: $\frac{a}{b}$.