Iron has relative permeability of 100 and conductivity of 1 × 10

Iron has relative permeability of 100 and conductivity of 1 × 10
| Iron has relative permeability of 100 and conductivity of 1 × 107 S/m where as Aluminium has relative Permeability of 1 and conductivity of 4.0 × 107 s/m. which of the following statement is true regarding shielding of high frequently signals.

A. Aluminium shield about 5 times better than Iron

B. Iron shields about 5 times better than Aluminium

C. Aluminium shield about 10 times better than Iron

D. Iron shield about 10 times better than Iron

Please scroll down to see the correct answer and solution guide.

Right Answer is: B

SOLUTION

Concept:

The shielding capacity of a material is determined by its attenuation constant

\({\rm{α }} = \sqrt {{\rm{\pi f\mu\sigma }}} \)

Calculation

\({{\rm{α }}_{{\rm{Al}}}} = \sqrt {{\rm{\pi f}}{{\rm{\mu }}_{{\rm{Al}}}}{{\rm{\sigma }}_{{\rm{Al}}}}} = \sqrt{\pi \times f \times 1 \times 4 \times 10^7}\)

\({{\rm{α }}_{{\rm{Fe}}}} = \sqrt {{\rm{\pi f}}{{\rm{\mu }}_{{\rm{Fe}}}}{{\rm{\sigma }}_{{\rm{Fe}}}}} = \sqrt{\pi\times f \times 100 \times 10^7}\)

\(\frac{α_{Fe}}{10} = \frac{α_{Al}}{2}\)

αFe = 5 αAl

Iron shield 5 times better than Aluminium.