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//example-22.4
//page no-667
//given
//specific density of lead
sd=11.4
//density of lead
rho=sd*10^3 //kg/m^3
//atomic weight of lead
Aw=207.2 //kg/kg-mol
//velocity of sound in lead
v=1200 //m/s
NA=6.023*10^26 //particles/kg-mol (avogadro's number)
e=1.602*10^-19 //C/electrons (charge on an electron)
m=9.1*10^-31 //kg (mass of electron)
mu0=4*(%pi)*10^-7 //H/m (permeability)
//since lead is type I superconductor, so London's theory of superconductivity is applicable
//so
ne=2*rho*NA/Aw //electrons/m^3
//critical current density
Ied=ne*e*v //A/m^2
//depth of penetration at the surface of lead
dp=sqrt(m/(mu0*ne*e^2))*10^10 //A
printf ("the electron density is %e electrons/m^3\n, the critical current density is %e A/m^2\n and the depth of penetration is %e A",ne,Ied,dp)
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