Suppose the wire in Example 28.3 has a radius \(R\) and the current is uniformly distributed throughout the volume of the wire. Follow the procedure of Example 28.3 to calculate the magnitude of the magnetic field inside \((rR)\) the wire.

Data from Example 28.3

A long straight wire carries a current of magnitude \(I\), and this current creates a magnetic field \(\vec{B}\). Derive an expression for the magnitude of the magnetic field a radial distance \(r\) from the wire.