Please show all work Three identical conducting spheres are fixed along a single

Question

Please show all work

Three identical conducting spheres are fixed along a single line. The middle sphere is from the other two so that the center to center distance between the middle sphere and either of the other two is 0.145 m. Initial only the middle sphere is charged, with middle = - 11.6 nC. The middle sphere is later connected by a conducting wire to the sphere on the left. The wire is removed and the used to connect the middle sphere to the sphere on the right. The wire is again removed. (a) What is the charge on each sphere? left sphere nC middle sphere nC right sphere nC (b) Which sphere experiences the greatest electrostatic force? left sphere middle sphere right sphere (c) What is the magnitude of that force?

Explanation / Answer

A) initially half of the total charge (11.6nC which is not visible properly) will be transferred to left sphere

left sphere = 5.8 nC

Half of the remaining charge will be transferred to right sphere.

Middle sphere = 2.9 nC

Right sphere = 2.9 nC

B) Left sphere experience greatest force

C) F = summation kq1q2/r^2 = 9e9*5.8e-9*2.9e-9*(1/0.145^2 + 1/0.290^2)

= 9*10^-6 N answer

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