Question

A long, hollow wire has inner radius R1 and outer radius R2. The wire carries current I uniformly distributed across the area of the wire.a) Use Ampere's law to find an expression for the magnetic field strength in the region 0

Answer 1

The magnetic field strength in the region 0 < r < R1 of the long, hollow wire is zero.

Step-by-step explanation:

To find the magnetic field strength in the region 0 < r < R1, we can use Ampere's law. Ampere's law states that the line integral of the magnetic field B around a closed loop is equal to the product of the current inside the loop and the permeability of free space.

If the wire carries current I uniformly distributed across its area, then we can consider a circular loop with radius r. For r < R1, the current enclosed by the loop is zero, so the line integral of the magnetic field is also zero. Therefore, the magnetic field strength in this region is zero.