The electric field E is measured at a point P(0, 0, d) generated due to various charge distribution…

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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-IIP.E is independent of d1.A point charge Q at the originQ.E µ 1/d2.A small dipole with point charges Q at (0, 0, l) and –Q at (0, 0, –l)Take 2l << dR.E µ 1/d23.An infinite line charge coincident with the x-axis, with uniform linear charge density l.S.E µ 1/d34.Two infinite wires carrying uniform linear charge density parallel to the x-axis. The one along (y = 0, z = l) has a charge density +l and the one along (y = 0, z = –l) has a charge density –l. Take 2l << d5.Infinite plane charge coincident with the xy-plane with uniform surface charge density.

CGP Edu Experts · Accepted Answer

The correct answer is B. in case of point charge E = 
In case of dipole E = 
For an infinite long line charge E =

E =  =  =  ~

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List-I	List-II
P.	E is independent of d	1.	A point charge Q at the origin
Q.	E µ 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 µ 1/d2	3.	An infinite line charge coincident with the x-axis, with uniform linear charge density l.
S.	E µ 1/d3	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 +l and the one along (y = 0, z = –l) has a charge density –l. Take 2l << d
		5.	Infinite plane charge coincident with the xy-plane with uniform surface charge density.

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