2. A cylindrical bar magnet has magnetization M(r), a general function of r directed (a) axially, (b) azimuthally or (c) radially (here with M(0)- 0). In each case find Br). In (a) also find the...
2. A cylindrical bar magnet has magnetization M(r), a general function of r directed (a) axially, (b) azimuthally or (c) radially (here with M(0)- 0). In each case find Br). In (a) also find the magnetization current encircled by a rectangle of axial length i, extending from radial distance r inside the cylinder to the outsidemrim ma wontoor dall % in (b) find the current encircled by a circle of radius r.
3. A cylindrical bar magnet has radius a and finite length 2, centered at the origin; it has uniform axial magnetization M. (a) Detail the correspondence with the solenoid in HW 5, #3: Evaluate the magnetzation surface-current density i and check the value found for the total magnetic dipole moment m against the definition of M as its volume-density. (b) Express B(o and H) on the axis, inside and outside the magnet, in terms of M, I , a, and乙Draw...
(2) 4.[4pts) An infinitely long cylinder of radius R carries NO free current but magnetization M=ks, where k > 0 is a constant and s is the cylindrical radius from the axis. Find the magnetic field B due to M both inside and outside of the cylinder.
Consider a cylindrical capacitor like that shown in Fig. 24.6. Let d = rb − ra be the spacing between the inner and outer conductors. (a) Let the radii of the two conductors be only slightly different, so that d << ra. Show that the result derived in Example 24.4 (Section 24.1) for the capacitance of a cylindrical capacitor then reduces to Eq. (24.2), the equation for the capacitance of a parallel-plate capacitor, with A being the surface area of...