How do I solve this?

1.

Consider 1 solenoid as in the figure. a. What is the magnetic field inside the coil if the core were not there? b. What is the effective magnetic monopole moment at the edge of the coil (again - no core)? Recall: (Magnetization density).(Volume)=[total dipole moment]=(effective monopole moment) ( distance between the two poles) or: M.V=m.d. c. What is the magnetic field inside the coil with the iron core inserted? Assume a magnetic susceptibility x=5000 for the iron. d. What is the effective magnetic monopole moment at the edge of the coil now - with the core? -m B I: d. A Iron Core 50cm 500 loops49. The magnetic moment of the Earth is approximately M 18.00 X 1022 A . ma. Imagine that the planetary mag- netic field were caused by the complete magnetiza- tion of a huge iron deposit with density 7 900 kg/m3 and approximately 8.50 X 1028 iron atoms/ma. (a) How many unpaired electrons, each with a mag- netic moment of 9.27 X 10-24 A . m, would participate? (b) At two unpaired electrons per iron atom, how many kilograms of iron would be present in the deposit? 50. At saturation, when nearly all the atoms have their magnetic moments aligned, the magnetic field is equal to the permeability constant Mo multiplied by the magnetic moment per unit volume. In a sample of iron, where the number density of atoms is approxi- mately 8.50 X 1028 atoms/ma, the magnetic field can reach 2.00 T. If each electron contributes a magnetic moment of 9.27 X 10-24 A . m? (1 Bohr magneton), how many electrons per atom contribute to the satu- rated field of iron?19. A toroid having a rectangular cross section (a = 2.00 cm by b = 3.00 cm) and inner radius R = 4.00 cm consists of N = 500 turns of wire that carry a sinusoidal current I = 1m\" sin wt, with [max = 50.0 A and a frequency f = 01/27: = 60.0 Hz. A coil that consists of N' = 20 turns of wire is wrapped around one section of the toroid as shown in Figure P31.19. Determine the emf induced in the coil as a function of time. . - "6\"\" Figure P31.19