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Three charges-q(1),+q(2) and -q(3) are p...

Three charges-`q_(1),+q_(2)` and `-q_(3)` are placed as shown in the figure. The x-component of the force on `-q_(1)` is proportional to

A

`q_2/b_2-q_3/a_2 cos theta`

B

`q_2/b_2+q_3/a_2 sin theta`

C

`q_2/b_2+q_3/a_2 cos theta`

D

`q_2/b_2-q_3/a_2 sin theta`

Text Solution

Verified by Experts

The correct Answer is:
B
`F=1/(4 pi e_0) (q_1q_2)/b^2 hati+ 1/(4 pi e_0) (q_1 q_3)/a^2 [ sin theta hat I - cos theta hat j] therefore F_x= q_1/(4 pi e_0) [q_2/b^2+q_3/a^2 sin theta], F_x prop [q_2/b^2+q_3/a^2 sin theta]`
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