Three identical conducting spheres are fixed along a single line. The middle sph

Question

Three identical conducting spheres are fixed along a single line. The middle sphere is equidistant 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. Initially, only the middle sphere is charged, with

qmiddle = +41.6 nC.

The middle sphere is later connected by a conducting wire to the sphere on the left. The wire is removed and then 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?

(b) What is the magnitude of that force?

Explanation / Answer

a) The left and middle get connected first. The charge will be divided among them equally

So,charge in left sphere = 41.6/2=20.8 nC

charge left on middle =20.8 nC

As it again connected to right sphere, charge will get divided.

Now, charge on middle sphere= 10.4 nC

     charge on right sphere= 10.4 nC

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