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Electrostatic Potential and Capacitance

  1. Four electric charges +q, +q, –q and – q are placed at the corners of a square of side 2L (see figure). The electric potential at point A, midway between the two charges +q and +q, is
    1. 1
      2q
      (1 + √5)
      4πε0L
    2. 1
      2q
      1 +
      1
      4πε0L5
    3. 1
      2q
      1 -
      1
      4πε0L5
    4. zero
Correct Option: C

Distance of point A from the two +q charges = L. ​Distance of point A from the two –q charges = = .
​= ​√L² + (2L)²
= √5L

∴ VA =
Kq
× 2 -
Kq
× 2
L5L

=
2Kq
1 -
1
L5

=
1
.
2q
1 -
1
4πε0L5



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