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∝1d |
(2) A small dipole with point charges Q at (0,0,l) and - Q at (0,0,−l). Take 2l<<d |
(R) E∝1d2 |
(3) A infinite line charge coincident with the x-axis, with uniform linear charge density λ. |
(S) E∝1d3 |
(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 |
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(5) Infinite plane charge coincident with the xy-plane with uniform surface charge density |