Pls solve this question completely - Physics - Electric Charges And Fields

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Pls solve this question completely

Bakul Biswas · Accepted Answer

Dear Student,

Suppose the first force is along x-axis
 Then, the second force makes an angle 2πN with x-axis
 The third force makes an angle 2×2πN with the x-axis
Similarly, the fourth force makes an angle 3×2πN with the x-axis and so on
If Rx=x component of the resultant forceRx=F+Fcos2πN+Fcos4πN+Fcos6πN+
Fcos (N-1)2πN=F∑n=0n=N-1cos2πnN=F×0=0Similarly,Ry=F∑n=0n=N-1sin2πnN=F×0=0Thus,R=Rx2+Ry2=0
option(4) is correct
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