A)paramagnetic material with N atoms/cm^3 and with L=0,S=1/2
calculate the number of atoms in two levels...
A)paramagnetic material with N atoms/cm^3 and with L=0,S=1/2
calculate the number of atoms in two levels at the temp T and in
the field H also calculate the resultant magnitization.
B)Compute vales for the population for N=10^22cm^-3,H=25Tesla
,T=300k and 4k.
1. A paramagnetic solid with three levels A paramagnetic solid
is composed of N dipoles of magnetic moment μ⃗. The dipoles can be
oriented at 0 (in alignment), 90 or 180 degree (opposite alignment)
relative to an external magnetic field B⃗. The system is in
equilibrium at a temperature of T. (a) Evaluate the single–particle
partition function for a dipole. (b) Calculate the mean mignetic
dipole moment μ. (c) Derive approximate expressions for μ in the
weak–field and strong–field limits.
Let S = {-3, -2, -1, 0, 1, 2, 3}. Define a relation R on S by:
xRy if and only if x = y + 4n for some integer n.
a) Prove that R is an equivalence relation.
b) Find all the distinct equivalence classes of R.
Write an algorithm to input a number n, then calculate 13 +2 3 +
33 + ... + n3, the sum
of the first n cubic numbers, and output the result.
2-Construct a trace table of the algorithm in question 1 with
input n=4.
From 1+K*L(s)=0
L(s) = 1/((s+1)(s+2)(s+10))
Solve for gain K where the root locus passes through
the damping ratio. z=0.176. With out Matlab. Please show all
work.
Note: I know we need to use some trig and the
magnitude criteria but u cannot seem to figure it out. Thank
you!