Question

pls solve wiht symbols first then numbers

A large slab of magnetic material with μR_2 has a sheet current pointing out of the page. as shown below. The current sheet lies in the x-y plane; the positive direction of z is upward. a. What is the magnetic field H in the magnetic material above and below the current sheet? b. What is the magnetic induction B in the magnetic material above and below the current sheet? What is the magnetization M in the magnetic material above and below the current sheet? c. What are the bound surface current densities on the outside surfaces of the slab? d. As

Answer 1

M_R = 2 we know that Relative permeability M_r = mu_mu_0 mu = 2.mu_0 mu = 2.mu_0 (1) magnetic field H = a_2 rightarrow.M_r where a_2 rightarrow is the unit vector in z direction magnetic field above the sheet is H = a_2 rightarrow mu_s = 1 . 2 H = 2 A/m magnetic field below the sheet is H = -1 times 2 H = -2 A/m \r\n (2) magnetic induction B = mu_0 H B = mu_0 . 2 above the chat B = mu . 2 = 4 pi times 10^- 7 times 2 = 8 pi times 10^- 7 = 25.12 times 10^- 7 = 2.5 times 10^- 8 N/m A B = -mu_0 . 2 bellow the chat = -4 pi times 10^- 7 times 2 B = -B pi times 10^- 7 = -2.5 times 10^- 8 N/m A 3) magnetization M = B/mu_0