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4. (15%)Let us consider the charge distribution given by

where ρo is a constant. Find the electric displacement field everywhere.

其他申論題

1. (15%) A magnetic field is given in the xz-plane by, Wb/m2. Consider a regid square loop situated in the xz-plane with its vertices at (x, 0, 1), (x+1,0, 1), (x+1,0, 2), and (x, 0, 2). Find the emf induced around the loop in the sense defined by connecting the above points in succession.

2. (15%) Charge is distributed with uniform density p0, C/m3 in the spherical region a＜s ＜2a. Find the electric displacement field everywhere.

(a) Find the magnetic field everywhere.

(b) Find the energy stored in the magnetic field of the current distribution per unit length in the z-direction.

5.(15%) For a uniform plane wave propagating in the -z-direction in a material medium withσ=0, 6=4εo, μ=μo , the magnetic field intensity in the z=0 plane is given by (a) Find the impedance of the medium for the field.

(b) Find the phase velocity of the wave.

(c) Find the associated electric field

(a) Find on the surface x=o.

(b) Find, that is, immediately adjacent to the x=d plane and on the free-space side, at that instant of time.

(a) Find the eigenvalues of A.(5%)

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