Question

Find the magnetic field due to an infinitely long cylindrical wire with current I distributed uniformly across its cross-section outside and inside at a distance r from its axis. The radius of the solid cylinder is r.

a) μ0​I​/2πr
b) μ0​I/4πr​
c) μ0​I/πr​
d) μ0​I/πr²

Answer 1

The magnetic field due to an infinitely long cylindrical wire with current I can be found using Ampere's Law. Inside the wire, the magnetic field is given by B = μ0I/2πr, and outside the wire, the magnetic field is given by B = μ0I/2πr.

Step-by-step explanation:

The magnetic field due to an infinitely long cylindrical wire with current I distributed uniformly across its cross-section outside and inside at a distance r from its axis can be found using Ampere's Law.

Inside the wire, the magnetic field is given by B = μ0I/2πr, where μ0 is the permeability of free space and r is the distance from the wire's axis.

Outside the wire, the magnetic field is given by B = μ0I/2πr.