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

The Correct Option is C

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: \( \frac{a}{b} \).