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2. The time-domain expression for the magnetic field of a uniform plane wave

traveling in a nonmagnetic medium is given as

H(x, t) = 20.2 cos(6π × 108 t – 10.2 x)

Find

(A/m)

(a) the direction of wave propagation;

(b) the relative permittivity e, and the intrinsic impedance n;

(c) the time-domain expression of the associated electric field E;

(d) the time-average power density Sav; and

(e) the net time average power of the EM wave crossing a rectangular

area of 30 × 20 cm oriented along yz plane, that is, the flat area has

a normal vector î.

Fig: 1