Flow of charges

In the given options, the first and the second resemble each other (option 2 is the symmetrical case of 1). So we only need to prove that current will not flow through C if there's a flow of charge and NOT A beam.

Your concept is correct, as there's change of magnetic field, eddy currents will be induced and that will solely depend on the orientation of the metallic plate.

We say that in Orientation 1: Normal of the symmetric plate intersects the axis of the wire.

Here, the magnetic flux will be zero.

And for any other Orientations, a current will be induced in the plane of metal plate. These currents are called eddy currents and you'll find them relevant when you look up electrical generators and their heating causes. Option C and D are correct with the electrostatic concept.

Thank you

I think I agree with Anusha. Current in the thread produces a magnetic field. Changing the current changes the magnetic field, and a changing magnetic field produces an electric field which should produce some current in the grounding wire.

Since it's an open plate , that is it's top and bottom are not connected from a wire it will behave as an open circuit. So current will flow from c only through electrostatic induction only.