Using Gauss's Law for Magnetism In a certain region of space, the magnetic field B is not uniform. The magnetic field has both a z component and a component that points radially away from or toward the z-axis. The z-component is given by Bz (z) = βz, where β is a positive constant. The radial component Br depends only on r, the radial distance from the z-axis.
(a) Use Gauss's law for magnetism, Eq. (27.8), to find the radial component B, as a function of T
(b) Sketch the magnetic field lines.