There are three spheres: red, yellow, and blue. Blue is on the origin, red at d1,0, and yellow at (d2cos(theta),-d2sin(theta))

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

I have the two force components necessary to solve the equation figured out. Once again, my trouble is putting them together to solve for charge Q, something that has not been covered in my course yet.

Here are my two force equations:

Fx(yellow)=k*2*q^2*cos(theta)/(d_2)^2

Fx(red)=-k*q_red*q/d_1^2

q_red=... is what I am trying to find.

**Update:**

This is a link to a picture that might help

**Update 2:**

The charge on blue is positive.

The charge on yellow is Negative

Charge on red is positive

**Update 3:**

The problem reads like this

Consider the following configuration of fixed, uniformly charged spheres:

* 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,

* a yellow sphere fixed at the point (d_2cos(theta),,-d_2sin(theta)) with unknown charge q_yellow.

The net electric force on the blue sphere is observed to be vec{F} = (0, \- F), where F > 0

**Update 4:**

My answer for q_red has to be in terms of

q,d1,d2, and theta

Not some constant but instead variables.

**Update 5:**

solved by ukmudgal