Consider the following configuration of fixed, uniformly charged spheres in (Figure 1) :

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(*θ*),−*d*2sin(*θ*)) with unknown charge *q*yellow.

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

A. Suppose that the magnitude of the charge on the yellow sphere is determined to be 2*q*. Calculate the charge *q*red on the red sphere.

Express your answer in terms of *q*, *d*1, *d*2, and *θ*.

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A blue sphere fixed at the origin with positive charge q. A red sphere fixed at the point (d1,0) with unknown charge qred. A yellow sphere fixed at the point (d2 cos theta, -d2 sin theta) with unknown charge qyellow. From an above figure, we have vec(F)yellow on q = (ke qyellow q / d22) gamma vec(F)red on q = (ke qred q / d12) (-i) The net electric force on blue sphere has a magni ... See the full answer