The electric field E is measured at a point P(0, 0, d) generated due to various charge distributions and the dependence of E on d is found to be different for different charge distributions. List-I contains different relations between E and d. List-II describes different electric charge distributions, along with their locations. Match the functions in List-I with the related charge distributions in List-II.List - IList - II(P) E is independent of d(1) A point charge Q at the origin(Q) (2) A small dipole with point charges Q at (0, 0, l) and – Q at (0, 0, l). Take 2l << d(R) (3) An infinite line charge coincident with the x axis, with uniform linear charge density λ(S) (4) Two infinite wires carrying uniform linear charge density parallel to the x-axis. The one along (y = 0, z = l) has a charge density +λ and the one along (y = 0, z = – l) has a charge density –λ. Take 2l << d(5) Infinite plane charge coincident with the xy-plane with uniform surface charge density

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Physics

Electric Flux and Gauss Law and its Applications

Question

The electric field E is measured at a point P(0, 0, d) generated due to various charge distributions and the dependence of E on d is found to be different for different charge distributions. List-I contains different relations between E and d. List-II describes different electric charge distributions, along with their locations. Match the functions in List-I with the related charge distributions in List-II.

List - I	List - II
(P) E is independent of d	(1) A point charge Q at the origin
(Q) $E \propto \frac{1}{d}$	(2) A small dipole with point charges Q at (0, 0, l) and – Q at (0, 0, l). Take 2l << d
(R) $E \propto \frac{1}{d^{2}}$	(3) An infinite line charge coincident with the x axis, with uniform linear charge density λ
(S) $E \propto \frac{1}{d^{3}}$	(4) Two infinite wires carrying uniform linear charge density parallel to the x-axis. The one along (y = 0, z = l) has a charge density +λ and the one along (y = 0, z = – l) has a charge density –λ. Take 2l << d
	(5) Infinite plane charge coincident with the xy-plane with uniform surface charge density