Question

6. (a) What is the expression for the skin depth for any material (that is, not making any assumptions)? (b) Show that in a good conductor, the skin depth can be written as d = 27/1. (c) Show that for poor conductor, (d) Calculate the skin depth for glass and for a typical metal (o ~ 10% S/m) for visible light. Comment on why glass is transparent and metals are not.

Answer 1

Solution -a) skin depth :- Skin de kin depth :- Skin depth is meqsure of how closely electric current flows along the surface of a material skin depth 5= 25 = 503 V (aXf) (Mofly) IP Turf where s = Resistivity of Conductor f = frequency. Mr = relatie magnetic permittivity b):- For good canductor kle know that for good conductor omwe So o 1 ~~ , E=Eo, Mr = Mo the propagation Constant. Y = Timutations Now 8 = jwpor (lt juwe for good conductor & JjWMO Also Y=181208 r = Jumo 245° since 2= w/ Me as 21 2= 1 W Mo - Juno - Latino 8

das & = Keo K= 415. k = for glass for metal o= 10 s/m. & = 4.5x8.85x1012 = 39.82x1012 d=2 39.82x1012 106 d= 12.62x 1000ml 107 Tolom Ang/l Comment of electrons in glass allow light to pass through them which makes the glass transparent In metals the atoms are arranged in crystalline form with tightly bonded atoms when a light photon strikes the metal surface the electrons reflects the light photons- which makes opaque.
skin death is the measure of how clearly electric current flows along the surface of a material