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

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Electrical Engineering

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

(b) A solid conductor of circular cross section with a radius of5 mm has a conductivity (?) that varies with radius. The conductoris 20 m long, and there is a potential difference of 0.1 V betweenits two ends. Within the conductor, H=105r2 ? A/m. Find ? as afunction of r.

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

(i) Find J.

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

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

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