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Question

A charge particle q1 is at position (2,-1,3).The electrostatic force on another charged particles q2 at

(0, 0, 0) is:

A
q1q256π0(2ˆiˆj+3ˆk)
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B
q1q25614π0(2ˆiˆj+3ˆk)
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C
q1q256π0(ˆj2ˆi+3ˆk)
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D
q1q25614π0(ˆj2ˆi+3ˆk)
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Solution

The correct option is B q1q25614π0(2ˆiˆj+3ˆk)

Position vector, d

d=(20)^i(10)^j+(30)^k=2^i^j+3^k

d3=[(2^i^j+3^k).(2^i^j+3^k)]32

d3=1414

Electrostatic force F

F=14πεoq1q2d3d=q1q24πεo(2^i^j+3^k)1414

F=q1q25614 πεo(2^i^j+3^k)


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