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MHT CET202410 May 2024Morning ShiftPhysicsElectrostaticsActual

Four electric charges +q,+q,-q and -q are placed in order at the corners of a square of side 2 L . The electric potential at point midway between the two positive charges is

Options

  1. A1 4 E ₀ 2 q L (1+ 1 5 )
  2. B1 4 E ₀ 2 q L (1- 1 5 )
  3. C1 4 E ₀ 2 q L (1- 5 )
  4. D1 4 E ₀ 2 q L (1+ 5 )

Correct answer

B. 1 4 E ₀ 2 q L (1- 1 5 )

Step-by-step solution

DP ^2=(2 ~L )^2+ L ^2=4 ~L ^2+ L ^2=5 ~L ^2 aligned DP & = 5 ~L = CP AP & = BP = L aligned Potential at point P due to the four charges, aligned V & = 1 4 ₀ ( q L + q L - q 5 L - q 5 L ) & = 1 4 ₀ ( 2 q L - 2 q 5 L ) & = 1 4 ₀ 2 q L (1- 1 5 ) aligned

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