1.
2.
3.
4.
5.
Assignment 3
The xy-plane serves as the interface between two different media. Medium 1 ( z < 0) is
filled with a material whose µr = 6, and medium 2 (z > 0) is filled with a material whose
µr = 4. If the interface carries current (1/ µo ) ay mA/m, and B2 = 5ax + 8az mWb/m2 find
H and B
Use Ampere’s Law to determine the magnetic flux density inside and outside a straight conductor
of radius a and carrying a static total current I
A cylinder of radius 7cm is made of magnetic material of µr=5. The region outside the cylinder
ρ>7 is air. If the magnetic field intensity H inside the cylinder is given at the point (7, π/2, 0) by
Hin=2ax-ay-3az
and if we assume a surface current density k=0.3 az. Determine the magnetic field intensity just
outside the cylinder at the same point
The interface between regions 1 and 2 is charged with a surface charge density ρs= 0.2 C/m2.
Region1(z>0) is air while region 2(z<0) is a material with ε2 =2 εo and µ2=3.1 µo.
If the electric flux density in region1 is given by
D1=3 ax+4 sqrt(y) ay +3az and
The magnetic field intensity in region 2 is given by
H2= 4 a x+3 y^2 ay + 5 a z.
Determine D2 and H1
Region y < 0 consists of a perfect conductor while region y > 0 is a dielectric medium
(εr = 2). If there is a surface charge of 2 nC/m 2 on the conductor, determine E and D at
i. A(3,-2,2)
ii. B(-4, 1, 5)