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Question

The positive point charges, each equal to +q, are placed at corners A, B and C of a square of side a. The magnitude of the force experienced by a point charge +Q placed at corner D is


A

3qQ4πϵ0a2

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B

2qQ4πϵ0a2

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C

qQ4πϵ0a2(2+12)

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D

Zero

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Solution

The correct option is C

qQ4πϵ0a2(2+12)


Refer to Fig. 20.41 Forces FA,FB and FC exerted on charge +Q by charges at A, B and C respectively are shown.
FA=FC=14πϵ0.qQa2andFB=14πϵ0.qQ2a2
F' is the resultant of FA and FC.
F' by using the parallelogram of vector addition is:
F' = 2qQ4πϵ0a2

The net force on Q is F"=F+FB. It is to see that the correct choice is (c).


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