Answer:
f in term of Hz =3GHz
f in term of Hzb = 3GHz .b
up in term of m/s = 1.875×10 ∧ 8 m/s
λ in term of meters = 3.12cm equivalent to 6.25m
k in terms of rad/m = 201.4 rad / m
beta in terms of Ohm = 235.62 Ω
Explanation:
NOTE: Where the signs used and identified in the solving of this questions asked are in relation and related in meaning to those in the narrative of the question .
w = 2πf = 6π × 10 ∧ 9 rad/sec
f = 3 × 10 ∧ 9 Hz = 3GHz
Up = c / √∈r = 3 × 10 ∧ 8 / √2.56 = 1.875×10 ∧ 8 m/s
λ = Up / f = 1.875 × 10 ∧ 8 / 6 × 10 ∧ 9 = 3.12cm equivalent to 6.25m
k = 2π / λ = 2π / 3.12×10 ∧−2 = 201.4 rad / m equivalent to 100.5
η = η° / √∈r = 377 / 1.6 = 235.62 Ω.
b)H = −ˆx = 20 / η cos ( 6π × 10 ∧9 . t −kz)
= −ˆx = 20 / 235.62 cos ( 6π × 10 ∧9 . t − 201.4 z)
= −ˆx 8.49 × 10 ∧−2 cos ( 6π × 10 ∧9 . t − 201.4 z) (A/m).
