Calculation of true thickness of the bed

 116. What will be the approximate skin depth of electromagnetic waves of frequency 1 kHz in a conductor having conductivity 100 S/m ?

a) 16 meters               

b). 1.6 meters             

c). 016 meters            

d). 0.016 meter

(Thanks to Pragnath, AU)

Solution: -

 Skin depth formula $D = 503.8 * \sqrt{(\frac{\rho}{f})}$

Given that (conductivity)$~\sigma= 100 S/m~$            

(conductivity) $\sigma=\frac{1}{\rho (resistivity)}$

 $\rho=\frac{1}{100}$

 $D = 503.8 * \sqrt{(\frac{1/100}{1000})}$

$D= 503.8*\frac{\sqrt{0.01}}{\sqrt{1000}}$

$D= 503.8*\frac{{0.1}}{{31.622}}$

$D= 503.8*0.0031623$

$D\approx1.6$

The answer is option (b) 1.6 meter