PhysicsJEE Main 24 Jan 2026, Shift 1·Q19·MCQ·Easy–moderate

Electric Potential and Capacitance · Potential

There are three concentric conducting spherical shells A, B and C of radii

a

b

and

c

carrying charges

q_1

q_2

and

q_3

respectively. The potential of the spheres A, B and C respectively, are :

(1) $\dfrac{1}{4\pi\epsilon_0}\left(\dfrac{q_1+q_2+q_3}{a}\right),\ \dfrac{1}{4\pi\epsilon_0}\left(\dfrac{q_1+q_2+q_3}{b}\right),\ \dfrac{1}{4\pi\epsilon_0}\left(\dfrac{q_1+q_2+q_3}{c}\right)$
(2) $\dfrac{1}{4\pi\epsilon_0}\left(\dfrac{q_1+q_2+q_3}{a}\right),\ \dfrac{1}{4\pi\epsilon_0}\left(\dfrac{q_1+q_2}{b}+\dfrac{q_3}{c}\right),\ \dfrac{1}{4\pi\epsilon_0}\left(\dfrac{q_1}{a}+\dfrac{q_2}{b}+\dfrac{q_3}{c}\right)$
(3) $\dfrac{1}{4\pi\epsilon_0}\left(\dfrac{q_1}{a}+\dfrac{q_2}{b}+\dfrac{q_3}{c}\right),\ \dfrac{1}{4\pi\epsilon_0}\left(\dfrac{q_1+q_2}{b}+\dfrac{q_3}{c}\right),\ \dfrac{1}{4\pi\epsilon_0}\left(\dfrac{q_1+q_2+q_3}{c}\right)$
(4) $\dfrac{1}{4\pi\epsilon_0}\left(\dfrac{q_1}{a}+\dfrac{q_2}{b}+\dfrac{q_3}{c}\right),\ \dfrac{1}{4\pi\epsilon_0}\left(\dfrac{q_1+q_2+q_3}{b}\right),\ \dfrac{1}{4\pi\epsilon_0}\left(\dfrac{q_1+q_2+q_3}{c}\right)$

We corrected a printing error in the original paper

Source printed “three co-centric conducting spherical shells A, B and C of radii $a$ , $b$ and $c$ respectively” (the charges used in the options are never stated); corrected to the intended “three concentric conducting spherical shells A, B and C of radii $a$ , $b$ and $c$ carrying charges $q_1$ , $q_2$ and $q_3$ respectively”.

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Electric Potential and Capacitance · Potential

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