An electric dipole is placed on x - axis in proximity to a line charge of linear charge density 3 . 0 ×…

An electric dipole is placed on x-axis in proximity to a line charge of linear charge density 3.0×10-6 C m-1. Line charge is placed on z-axis and positive and negative charge of dipole is at a distance of 10 mm and 12 mm from the origin respectively. If total force of 4 N is exerted on the dipole, find out the amount of positive or negative charge of the dipole.
  1. 815.1 nC
  2. 8.8 μC
  3. 0.485 mC
  4. 4.44 μC

Solution

r=10 mm, x=2,
F→q=2kλr·q
F→-q=2kλr+x·q

F→net=2kλq·xr(r+x)
4=2×9×109×3×10-6×q×2 mm10 mm.12 mm

⇒q=4.44 μC

Asked in: JEE Main 2021 (22 Jul Shift 1)

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