# Two conducting spheres of radii r1 and r2 are equally charged. The ratio of their potentials is

Q: Two conducting spheres of radii r1 and r2 are equally charged. The ratio of their potentials is

(a) $\large \frac{r_1^2}{r_2^2}$

(b) $\large \frac{r_2^2}{r_1^2}$

(c) $\large \frac{r_1}{r_2}$

(d) $\large \frac{r_2}{r_1}$

Ans: (d)

Sol: $\large V_1 = \frac{1}{4\pi \epsilon_0} \frac{q}{r_1}$

$\large V_2 = \frac{1}{4\pi \epsilon_0} \frac{q}{r_2}$

$\large \frac{V_1}{V_2} = \frac{r_2}{r_1}$