Consider the following configuration of fixed, uniformly charged spheres (see th

Question

Consider the following configuration of fixed, uniformly charged spheres (see the figure ):

* a blue sphere fixed at the origin with positive charge q,
* a red sphere fixed at the point (d_1,,0) with unknown charge q_red, and
* a yellow sphere fixed at the point (d_2cos( heta),-d_2sin( heta)) with unknown charge q_yellow.

The net electric force on the blue sphere has a magnitude F and is directed in the - y direction.

Suppose that the magnitude of the charge on the yellow sphere is determined to be 2q. Calculate the charge q_red on the red sphere.
Express your answer in terms of q, d_1, d_2, and theta.

Explanation / Answer

      q*2(d_1/d_2)^2cos(theta)

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