Four positive point charges $+q$ are kept at the four corners of a square of side $l$. The net electric…

Four positive point charges $+q$ are kept at the four corners of a square of side $l$. The net electric field at the midpoint of any one side of the square is (take $\frac{1}{4\pi\epsilon_{0}}=k$)
  1. 4 kql2
  2. 16 kq55l2
  3. 8 kq5l2
  4. kql2

Solution

The electric field of EC & ED are equal and opposite so they cancel out each other,

now net electric field at the midpoint of one side is,

2EAcosθ because EA=EB, so,

Enet=2×k×ql2+l22cosθEnet=2×k×ql2+l222×ll2+l22Enet=16 kq55l2

Asked in: AP EAMCET 2018 (25 Apr Shift 1)

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