1(a) Discuss the differences that exist between sources of electrostatic, magnetostatic and electromagnetic fields. Successively, with...

1(a) Discuss the differences that exist between sources of electrostatic, magnetostatic and electromagnetic fields. Successively, with the aid of figures and the appropriate mathematical equations, derive model for the sources of a magnetostatic field.

(b) A solid conductor of circular cross section with a radius of 5 mm has a conductivity (?) that varies with radius. The conductor is 20 m long, and there is a potential difference of 0.1 V between its two ends. Within the conductor, H=105r2 ? A/m. Find ? as a function of r.

2(a) The magnetic field intensity is given in certain region of space as H=[(x+2y)z2]y+(2z)z A/m.

(i) Find J.

(ii) Use J to find the total current passing through the surface z = 4, 1 < x < 2, 3 < y < 5, in the z direction.

(b) Consider a circular disk having a radius of 0.5 m. A surface current of Js(r)=16r ? A/m flows on the surface of the disk. The center of the disk coincides with the origin, and the disk is oriented in the xy plane. Find the magnetic field intensity at z = b on the z axis and let b > 0.

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Expert Solution

Manojponduru answered 1 year ago

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