A positively charged rod is brought near two uncharged conducting spheres of the

Question

A positively charged rod is brought near two uncharged conducting spheres of the same size that are initially touching each other. There is no contact between the rod and the spheres, nut 3x10^15 electrons have moved between the spheres. The sheres are moved apart, and then the charged rod is removed.

Sphere 1 remained at the origin, and sphere 2 was moved to point (x=0, y=50cm)

What is the magnitude of the electric field at point A =(x=1,y=0)? What is the direction of the field at the same point?

Explanation / Answer

The rod is not touching the sphere. When it is brought near the combination of A and B,

due to repulsion positive charges go to B and due to attraction negative charges come to A.

However, the net charge on the combined spheres is zero.

But when they are separated, while still keeping the rod near, the sphere A is negatively charged where as the sphere B is positively charged.

Now the rod is removed and the charges remain as mentioned above in the spheres.

You can now answer the questions a and b.

a) Negative charge on A
b) Equal amount of positive charge on B.

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