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JEE Main 2006 (AIEEE) · Electric Potential & Equipotentials

Electric Potential & Equipotentials question from JEE Main 2006 (AIEEE)

Q124JEE Main 2006 · AIEEEMedium

Electric Potential & Equipotentials

Two spherical conductors $A$ and $B$ of radii $1\text{ mm}$ and $2\text{ mm}$ are separated by a distance of $5\text{ cm}$ and are uniformly charged. If the spheres are connected by a conducting wire then in equilibrium condition, the ratio of the magnitude of the electric fields at the surfaces of spheres $A$ and $B$ is

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Answer: (c)

Connected spheres are at equal potential, so $E = \frac{V}{r} \propto \frac{1}{r}$ .
$\frac{E_A}{E_B} = \frac{r_B}{r_A} = \frac{2}{1}$
So the answer is (c) $2 : 1$ .

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