A charge Q is distributed over three... | Electrostatics

JEE Main 2019

10-01-2019 S1

Question

A charge Q is distributed over three concentric spherical shells of radii a, b, c (a < b < c) such that their surface charge densities are equal to one another. The total potential at a point at distance r from their common Centre, where r < a, would be

Select the correct option:

$\frac{Q(a+b+c)}{4 \pi \epsilon_0\left(a^2+b^2+c^2\right)}$

$\frac{Q}{4 \pi \epsilon_0(a+b+c)}$

$\frac{Q\left(a^2+b^2+c^2\right)}{4 \pi \epsilon_0\left(a^3+b^3+c^3\right)}$

$\frac{Q}{12 \pi \epsilon_0} \frac{a b+b c+c a}{a b c}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution