import math
#Variables
N = 150.0 #Number of turns
mur = 3540.0 #Relative permeability (in H/m)
mu0 = 4*math.pi * 10 **-7 #Absoulte permeability (in H/m)
l = 0.05 #coil length (in meter)
A = 5 * 10**-4 #Area of cross - section (in metersquare)
#Calculation
L = (mur * mu0 * A * N**2)/l #Coil inductance (in Henry)
#Result
print "The coil inductance is ",round(L,2)," Henry."
import math
#Variables
L1 = 40.0 #Inductance (in micro-Henry)
L2 = 80.0 #Inductance (in micro-Henry)
M = 11.3 #Mutual Inductance (in micro-Henry)
#Calculation
k = M/(L1 * L2)**0.5 #Coefficient of Coupling
#Result
print "Coefficient of coupling is ",round(k,2),"."
import math
#Variables
Q = 90.0 #Q-factor
L = 15.0 * 10**-6 #Inductance (in Henry)
f = 10.0 * 10**6 #Frequency (in Hertz)
#Calculation
Ro = 2*math.pi*f*L/Q #d.c. resistance (in ohm)
#Result
print "d.c. resistance of coil is ",round(Ro,1)," ohm."
import math
#Variables
k = 5.0 #dielectric constant
A = 0.04 #Plate area (in meter-square)
d = 0.02 #Thickness of dielectric(in meter)
eps0 = 8.85 * 10**-12 #Absolute permittivity (in kg*m**3*s**-3*A**-2)
#Calculation
C = eps0 * k * A / d #Capacitance (in Farad)
#Result
print "Capacitance of parallel plate capacitor is ",C * 10**12,"pF."
import math
#Variables
k = 1200.0 #dielectric constant
A = 0.2 #Plate area (in meter-square)
eps0 = 8.85 * 10**-12 #Absolute permittivity (in kg*m**3*s**-3*A**-2)
C = 0.428 #Capacitance (in micro-farad)
#Calculation
d = eps0 * k * A / C #thickness of dielectric (in meter)
#Result
print "Thickness of dielectric is ",round(d * 10**9,2)," mm."