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Question: Answered & Verified by Expert
An infinite line of charge with uniform line charge density of 1 C m-1 is placed along the y-axis. A charge of 1C is placed on the x-axis at a distance of d=3 m from the origin. At what distance r from the origin on the x-axis, the total electric field is zero.N (Assume 0<r<d)
PhysicsCapacitanceTS EAMCETTS EAMCET 2019 (03 May Shift 2)
Options:
  • A 1 m
  • B 2 m
  • C 2.5 m
  • D 1.75 m
Solution:
1428 Upvotes Verified Answer
The correct answer is: 2 m

For the total electric field E to be zero, the electric field due to point charge & line charge should be zero,

  Eline=Epoint

  2Kλx=Kq3-x2

   2x=13-x2
on solving quadratic equation we get,

x=4.5 or x=2

so the possible value is x=2 m

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