PROBLEM
Q. The highest frequency range (in Hz) of an inducing electromagnetic wave that can penetrate up to a depth of 178 s in a medium
having a resistivity of 10178 ohms. m
Solution:
In an electromagnetic wave hits a conductor, the wave will attenuate as
it penetrates the conductor, with a characteristic distance, called the Skin
depth (d).
The skin depth depends not only on the conductivity and permittivity but
also on the frequency (1/time) of the incident radiation.
Skin depth (d) = 503.8 *√(ρ/f) ---------------(1)
f- frequency = 1/ time
time = 178 s
ρ-resistivity = 10,178 Ωm
substitute above values in eq(1)
d= 503.8 *√(ρ*T)
d= 503.8 * √(10178*178)
d= 503.8 * √(1,811,684)
d= 503.8 * 1345.988
d= 678,108.811 m
Skindepth (d) = 678 km
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