Question

Find the tilt angle of the radio wave with 1MHz frequency and conductivity of earth is 5 ×10^-3S/m and relative permittivity 10?

(a) 41.8°

(b) 83.6°

(c) 48.1°

(d) 38.6°

This question was posed to me during an online interview.

This question is from Radio Wave Propagation topic in chapter Radio Wave Propagation of Antennas

Answer 1

Correct choice is (a) 41.8°

The explanation: Expression for tilt angle is \(θ=1/2 tan^{-1}⁡(\frac{σ}{ωϵ}). \)

\(=0.5 tan^{-1}⁡(\frac{5 ×10^{-3}}{2π×10^6×10×(\frac{1}{36π}) 10^{-9}})≈41.8°\)