Question

A 10 GHz uniform plane wave propagates in a lossless medium for which epsilon_ r = 8 and mu_ r = 2. Find (a) v_ p; (b) beta; (c) lambda; (d) E_s; (e) H_s; (f) (S).

Answer 1

To find the values v_p, beta, lambda, E_s, H_s, and S, use the given equations involving mu_r and epsilon_r.

To find the values, we can use the equations:

(a) vp = √(µo × εo)

(b) β = 2πf √µo εo

(c) λ = vp/f

(d) Es = Eo × e-jβx

(e) Hs = Es×Zo

(f) S = 0.5 × Re(Es×Hs*)

To solve for the values, substitute the given values into the equations and calculate the result. For example, for (a) vp = √((2.6 × 10-6 T m/A)(8.85 × 10-12 F/m)).