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Question

Five positively charged particles are kept fixed on the x-axis at point (1m,0)(2m,0),(3m0)(4m0) and (5m0). The magnitude of charges kept at these points are 1μC,4μC,9μC,16μC, and 25μC respectively. The magnitude of net electric force on charge 1μC placed at origin is

A
4.5×103N
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B
4.5×102N
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C
4.5×102N
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D
4.5×104N
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Solution

The correct option is C 4.5×102N
According to Coulomb's law, the net electric force on charge q due to five charges is
Fnet=14πϵ0[qq1r21+qq2r22+qq3r23+qq4r24+qq5r25]
=(9×109)[(1)(1)(10)2+(1)(4)(20)2+(1)(9)(30)2+(1)(16)(40)2+(1)(25)(50)2]×1012
=45×103=4.5×102N

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