Question

Two conducting spheres of radii $r_{1}$and $r_{2}$are equally charged. The ratio of their potential is.

• A. $\frac{r_{1}}{r_{2}}$
• B. $\frac{r_{2}^{2}}{r_{1}^{2}}$
• C. $\frac{r_{2}}{r_{1}}$
• D. $\frac{r_{1}^{2}}{r_{2}^{2}}$

Answer 1

Answer: (C)

$\frac{r_{2}}{r_{1}}$

Answer 2

: Here, $V_{1} = \frac{q}{4\pi\varepsilon_{0}r_{1}},V_{2} = \frac{q}{4\pi\varepsilon_{0}r_{2}}$

$\therefore\frac{V_{1}}{V_{2}} = \frac{r_{2}}{r_{1}}$