Match List-I with List-II.
**List-I**
(A) Electric field inside (distance $r > 0$ from centre) of a uniformly charged spherical shell with surface charge density $\sigma$ and radius $R$.
(B) Electric field at distance $r > 0$ from a uniformly charged infinite plane sheet with surface charge density $\sigma$.
(C) Electric field outside (distance $r > 0$ from centre) of a uniformly charged spherical shell with surface charge density $\sigma$ and radius $R$.
(D) Electric field between two oppositely charged infinite plane parallel sheets with uniform surface charge density $\sigma$.
**List-II**
(I) $\sigma/\epsilon_0$
(II) $\sigma/2\epsilon_0$
(III) $0$
(IV) $\dfrac{\sigma R^2}{\epsilon_0r^2}$
Choose the correct answer from the options given below:
Answer: (A) (A)-(III), (B)-(II), (C)-(IV), (D)-(I)
- (A) Inside a charged shell no charge is enclosed by a Gaussian sphere: $E = 0$ (III).
- (B) Infinite sheet: $E = \dfrac{\sigma}{2\epsilon_0}$ (II).
- (C) Outside the shell, $q = 4\pi R^2\sigma$ acts as a point charge: $E = \dfrac{4\pi R^2\sigma}{4\pi\epsilon_0r^2} = \dfrac{\sigma R^2}{\epsilon_0r^2}$ (IV).
- (D) Between oppositely charged sheets the two fields add: $E = \dfrac{\sigma}{\epsilon_0}$ (I).
(A)-(III), (B)-(II), (C)-(IV), (D)-(I).
Solution by Sreeraj P, M.Sc Physics