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Q.

In the given figure if the magnitude of force applied by +Q charge on +q charge is F. Then the net electric force on +Q charge is n F. What is the value of n?

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a

7

b

9

c

4

d

5

answer is D.

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Detailed Solution

Let force between +q and +Q be F, then the effect of all charges on +Q can be seen in the given figure.

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By symmetry we can see that the components of 5F perpendicular to 4F will cancel out, only remaining will be along the direction of 4F. which will be equal to

Fnet =4F+5Fcos60+5Fcos60

Fnet=4F+5F2+5F2=9F

hence, n = 9.

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