ECE 101A Engineering Electromagnetics
Homework#6
Due: Wednesday, November 20th, 23:59
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Problem 1
Infinite sheet current
(a) Find the B-field and H-field created by an infinite, uniform. sheet current density that flows on the x-y plane along the x-direction (i.e. surface current) of (Jo is a constant with units A/m). How does the field depend upon the distance from the surface?
(b) Repeat part (a) for an infinite slab of current density extending in the x-y plane, whose density is given by
(JI is a constant bulk current density with units A/m2).
Make sure you give the field for all values of z, and don't forget the direction.
(c) Now the current density in part (b) is changed to I>how does the field depend upon the distance from the surface?
Problem 2
Obtain an expression for the self-inductance per unit length for the parallel wire transmission line of the figure below in terms of a, d, and μ, where a is the radius of the wires, d is the axis-to-axis distance between the wires, and μ is the permeability of the medium in which they reside.
Problem 3
In terms of the dc current I, how much magnetic energy is stored in the insulating medium of a 3 m long, air-filled section of a coaxial transmission line, given that the radius of the inner conductor is 5 cm and the inner radius of the outer conductor is 10 cm?
Problem 4
A wire is formed into a square loop and placed in the x–y plane with its center at the origin and each of its sides parallel to either the x or y axes. Each side is 40 cm in length, and the wire carries a current of 5 A whose direction is clockwise when the loop is viewed from above. Calculate the magnetic field at the center of the loop.