Physics · Electrostatics
The electric field E is measured at a point P(0,0,d) due to various charge distributions. Match the functional dependency of E on distance d in Column I with the correct charge distributions in Column II. Column I: P. E is independent of d Q. E ∝ d R. E ∝ 1/d2 S. E ∝ 1/d3 Column II: 1. A point charge q at the origin. 2. Small dipole with point charges +q at (0,0,l) and -q at (0,0,-l), with 2l << d. 3. An infinite line charge along the x-axis, with uniform linear charge density λ. 4. Two infinite wires carrying uniform linear charge densities +λ and -λ parallel to the x-axis; one along (y=0, z=l) and the other along (y=0, z=-l) with 2l << d. 5. Infinite plane of charge coincident with the x-y plane, with uniform surface charge density.
- 1P - (4), Q - (2), R - (1), S - (3)
- 2P - (5), Q - (3), R - (1,4), S - (2)✓
- 3P - (3), Q - (4), R - (1,4), S - (5)
- 4P - (2), Q - (3), R - (5,4), S - (5)
Correct answer
P - (5), Q - (3), R - (1,4), S - (2)
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