GATE EC 2003 Electromagnetics Solution Q 3

GATE EC 2003 Electromagnetics Solution Q 3

The depth of penetration of electromagnetic wave in a medium having conductivity σ at a frequency of 1 MHz is 25 cm. The depth of penetration at a frequency of 4 MHz will be

(a) 6.25 cm

(b) 12.50 cm

(c) 50.00 cm

(d) 100.00 cm

Ans : b)

Explanation

\delta\propto\frac1{\sqrt f} \frac{\delta_2}{\delta_1}=\sqrt{\frac{f_1}{f_2}} \delta_2=\sqrt{\frac{1MHz}{4MHz}}\times25cm=12.5cm

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