Answer to Question #214446 in Electricity and Magnetism for Muthiah Afifah

Question

Which of these formulas is wrong? (a) B1n = B2n (b) B2 = "B2n 2 1 B2t 2 (c) H1 = H1n + H1t (d) an21 * (H1 - H2 )= K, where an21 is a unit vector normal to the interface and directed from region 2 to region 1.

Answer 1

From the given question,

Boundary condition of magnetic field

$B_{n1}=B_{n2} ... (i)$

$H_{1t}=H_{2t}-\overrightarrow{k}\times \hat{a_{21N}}$

$\overrightarrow{H_1}=H_{t1}+H_{N1} ...(ii)$

$\overrightarrow{B_2}=\overrightarrow{B_{t2}}+B_{N2}$

Hence, option a and b are correct.