Find the electric field at point P (as shown in figure) on the perpendicular bisector of a uniformly charged…

Find the electric field at point P (as shown in figure) on the perpendicular bisector of a uniformly charged thin wire of length L carrying a charge Q. The distance of the point P from the centre of the rod is a=32L

  1. Q3πε0L2
  2. Q23πε0L2
  3. 3Q4πε0L2
  4. Q4πε0L2

Solution

E=kλasinθ1+sinθ2

E=14πε0×QL×13 L2×2sinθ

tanθ=L/23 L2=13

sinθ=12

E=14πε0×2Q3 L2×2×12

E=Q23πε0 L2

Asked in: JEE Main 2021 (26 Feb Shift 1)

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