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Q.

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

List-I

List-II

(P)

B is independent of d.

(1)

A long hollow cylindrical carrying wire, of radius l, with its axis coincident with the y-axis. Take 2l<<d

(Q)

B1d

(2)

A small current carrying ring in the xy  plane with centre at origin and radius l. Take 2l<<d

(R)

B1d2

(3)

An infinite currying wire coincident with x-axis

(S)

B1d3

(4)

Two infinite current carrying wires parallel to the x -axis. The one along (y=0,z=1) has a current I and the one along (y=0,z=l)  has a current I. Take 2l<<d

 

 

(5)

Infinite plane coincident with the xy  plane with uniform current per unit length k along x

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a

(P)(5),(Q)(3),(R)(1,2),(S)(4)

b

(P)(5),(Q)(3),(R)(1),(S)(2)

c

(P)(4),(Q)(2,3),(R)(1),(S)(5)

d

(P)(5),(Q)(1,3),(R)(4),(S)(2)

answer is B.

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Detailed Solution

Standard current carrying distributions can be used to calculate dependence.

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