JEE Advanced · 2012 · 08 Apr 2012 · Paper 1 · Electrostatics

Consider a thin spherical shell of radius

R

with its centre at the origin, carrying uniform positive surface charge density. The variation of the magnitude of the electric field

∣ E (r) ∣

and the electric potential

V (r)

with the distance

r

from the centre, is best represented by which graph ?

(A)(see structure)
(B)(see structure)
(C)(see structure)
(D)(see structure)
✓ Correct

Answer: (D)

Solution

For a uniformly charged spherical shell: Inside (

r < R

E = 0

and

V = constant

. Outside (

r > R

E \propto 1/ r^{2}

and

V \propto 1/ r

. The electric field is zero inside and decreases as

1/ r^{2}

outside. The potential is constant inside and decreases as

1/ r

outside. Option (D) correctly shows these behaviors.

JEE Advanced · 2012 · 08 Apr 2012 · Paper 1 · Single correct option

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