#importing modules
import math
from __future__ import division
#Variable declaration
mew = 1; #parameter of aluminium
sigma = 3.54*10**7; #conductivity(mho/m)
delta = 0.01*10**-3; #skin depth of aluminium(mm)
#Calculation
new = 1/((delta**2)*math.pi*mew*sigma); #frequency(Hz)
new = math.ceil(new*10**2)/10**2; #rounding off to 2 decimals
#Result
print "frequency is",new,"Hz"
print "answer given in the book is wrong"
#importing modules
import math
from __future__ import division
#Variable declaration
se = 2; #solar energy(cal /min /cm**2)
j = (4.2*10**4)/60; #conversion factor from cal /min /cm**2 to J /m**2 /sec)
mew0 = 4*math.pi*10**-7; #permeability of free space(H/m)
epsilon0 = 8.854*10**-12; #permittivity of free space(F/m)
#Calculation
EH = se*j; #solar energy(J /m**2 /sec)
EbyH = math.sqrt(mew0/epsilon0);
EbyH = math.ceil(EbyH*10)/10; #rounding off to 1 decimal
H = math.sqrt(EH/EbyH); #magnetic field of radiation
E = EbyH*H;
H = math.ceil(H*10**3)/10**3; #rounding off to 3 decimals
E = math.ceil(E*10)/10; #rounding off to 1 decimal
E0 = E*math.sqrt(2); #electric field of radiation(volt/m)
H0 = H*math.sqrt(2); #magnetic field of radiation (amp-turn/m)
H0 = math.ceil(H0*10**2)/10**2; #rounding off to 2 decimals
#Result
print "electric field of radiation is",int(E0),"volt/m"
print "magnetic field of radiation is",H0,"amp-turn/m"
#importing modules
import math
from __future__ import division
#Variable declaration
p = 4.3*10**-8; #polarization(C/m**2)
E = 1000; #electric field(V/m)
epsilon0 = 8.85*10**-12; #permittivity of free space(F/m)
#Calculation
epsilonr = 1+(p/(epsilon0*E)); #relative permittivity
epsilonr = math.ceil(epsilonr*10**2)/10**2; #rounding off to 2 decimals
#Result
print "relative permittivity is",epsilonr