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Four identical charges +50 μC each, are placed one at each corner of a square of side 2 m. How much external energy is required to bring another charge of +50 μC from infinity to the centre of the square? Given 14πε0=9×109Nm2C2

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Detailed Solution

Potential at the centre of squareV0=4×9×109×50×10-62/20=902×104 VWork done in bringing a charge (q = 50 μC) from ∞ to centre ( 0) of the square is W=qV0-V∞=qV0⇒W=50×10-6×902×104=64 J
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Four identical charges +50 μC each, are placed one at each corner of a square of side 2 m. How much external energy is required to bring another charge of +50 μC from infinity to the centre of the square? Given 14πε0=9×109Nm2C2