A particle with charge q is located at the origin, and a particle with charge 5q

Question

A particle with charge q is located at the origin, and a particle with charge 5q is on the positive x axis, a distance d from the origin. The particles are not free to move. In terms of q and d, at what third should a third particle with charge q be placed so that it experiences no net electrostatic force? (Assume r is the location of the origin, along the positive x axis.) The figure below shows four identical conducting spheres with charge q = +6.00 nC placed at the corners of a rectangle of width w = 22.0 cm and height h = 65.0 cm. What are the magnitude and direction of the net electrostatic force on the charge on the lower right-hand corner? magnitude N direction degree (counterclockwise from the +x axis)

Explanation / Answer

12ans

Given that

charge q1=q

charge q2=5q

dfistance d=d

now we find the position of the third charge placed

distance r=x/(q2/q1)^1/2+1=d/(5q/q)^1/2+1=0.31d

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