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Question

Three charges q1,+q2 and q3 are placed as shown in Fig. The x-component of the force on q1 is proportional to

A
q2b2q3a2sinθ
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B
q2b2q3a2cosθ
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C
q2b2+q3a2sinθ
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D
q2b2+q3a2cosθ
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Solution

The correct option is C q2b2+q3a2sinθ

Net force on charge q1 due to other two charges is
F1=F12+F13
F1=kq1q2b2^i+kq1q3a2(sinθ^i+cosθ^j)
Clearly, the x-component of total force is proportional to q2b2+q3a2sinθ

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