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## Homework Statement

## Homework Equations

## The Attempt at a Solution

I have difficulty in solving part (C).

The surface bounded by the Amperean loop is like an open drum.

The current enclosed by the loop is ## I_{en}## = I through the bottom of the drum + I(s) through that part of the curved surface which touches the plate .

Now, how to find out I(s)?

How to find out the direction of B considering this surface?

If I consider the planar surface through the Amperean loop, then the displacement current is along z-axis and so the B-field is along the ## \hat \phi ## direction.