Calculate the net force acting on the charge present at the origin.

Question

Calculate the net force acting on the charge present at the origin., q q 1 4 π ε 0 a 2 × 2, q q 1 4 π ε 0 2 a 2 + q q 1 8 π ε 0 a 2, q q 1 4 π ε 0 a 2 ( 2 + 1 2 ), q q 1 4 π ε 0 a 2 ( 1 2 − 2 )

MARKS App · Accepted Answer

F 1 = k q q 1 a 2 ; F 2 = k q q 1 ( 2 a ) 2 Resultant force F = 2 F 1 + F 2 = 2 k q q 1 a 2 + k q q 1 2 a 2 = k q q 1 a 2 ( 2 + 1 2 ) = q q 1 4 π ε 0 a 2 ( 2 + 1 2 )

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