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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
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1 2q (1 + √5) 4πε0 L -
1 2q 1 + 1 4πε0 L √5 -
1 2q 1 - 1 4πε0 L √5 - zero
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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 = | ![]() | × 2 | ![]() | - | ![]() | × 2 | ![]() | ||
L | √5L |
= | ![]() | 1 - | ![]() | |||
L | √5 |
= | . | ![]() | 1 - | ![]() | |||
4πε0 | L | √5 |