Question

A wire of radius R carries a uniform current I. Find the magnetic field inside and o the wire. Plot the magnetic field as a function of radius. Assume the current density is uniform over the cross section of the wire.

Answer 1

To find the magnetic field inside a wire, use Ampere's Law. To find the magnetic field outside the wire, use the Biot-Savart Law.

Step-by-step explanation:

In this question, we are asked to find the magnetic field inside and outside a wire of radius R carrying a uniform current I.

To find the magnetic field inside a wire, we can use Ampere's Law. The formula for the magnetic field inside a wire is given by B = (μ0 × I)/(2πR), where μ0 is the permeability of free space. So, the magnetic field inside the wire is directly proportional to the current and inversely proportional to the radius.

To find the magnetic field outside the wire, we can use the Biot-Savart Law. The formula for the magnetic field outside a wire is given by B = (μ0 × I)/(2πr), where r is the distance from the center of the wire. Again, the magnetic field is directly proportional to the current and inversely proportional to the distance.