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Three charges -q1, +q2 and -q3 are place...

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_1)/b_2 -q_3/a^2 cos theta`

B

` (q_1)/b_2 -q_3/a^2 sin theta`

C

` (q_1)/b_2 -q_3/a^2 sin theta`

D

` (q_1)/b_2 -q_3/a^2 sin theta`

Text Solution

Verified by Experts

The correct Answer is:
B
`vec F (12 (x)) = (q_1 q_2)/(4 pi _0 b^2) (-hat i)`
`vec F (13 (x)) =(q_1 q_3 )/(4 pi varepsilon_0 a^2) (-sin theta hat i)`
` :.` Net `vec F _X (kq_1 q_2)/b^2 (- yhat i) + (kq _1 q_3)/a^2 sin thet (-hat i)`
or ` F+x =- ka_1 [q_2/b^2 + q^3 /q^2 sin theta ]`
`:. F_x prop q_2/q_2 + q_3/a^2 sin theta` .
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