Note: The equation 5.31 is Wiedemann-Franz law: Show that the Wiedemann-Franz coefficient L in the Drude...
Show that the Wiedemann–Franz law is indeed given
by (6.19).
The equation 6.19 is
Show that Eq. 5.31 gives the value A = 2/L.
To complete the solution for (x), we must determine the constant A by using the normalization condition given in Eq. 5.9, S V x) dx = 1. The integrand is zero in the regions - <x<0 and L <x<+co, so all that remains is (5.31) from which we find A = then 2/L. The complete wave function for 0 SXS Lis
2. The explicit Euler and 4th order Runge-Kutta schemes for solving the following ordinary differential equation do f(6 dt are given by Atf() and 1 At (ki k2 k ka + ( ) k2=f( + At- k2 ka f At 2 respectively (a) Perform stability analysis on the model problem do _ dt for BOTH the explicit Euler and 4th order Runge-Kutta schemes and show that the respective stability regions are given by (Euler) AAt 4 (AAt)2 2 (AAt)3 (AAt)4...
The symmetric brake shown in the figure has a width of
30 mm with a mean friction coefficient of 0.25.
Note that
L 150 mm 1
= , L 200 mm 2
= , L 200 mm 3
=
and radius of the drum is 150 mm. For an estimated
actuating force of F=500 N for each brake, determine:
a) The maximum pressure on each shoe
b) The total brake
torque capacity
c) Comment on the self – energizing behavior...
Consider the RLC circuit where R = 5, C = 1, L = 4 and V = 8. 1. Use circuit analysis laws to show that the resistor's voltage and induc- tor's voltage can be modelled as the system of ODEs し」L 2. Solve the eigenvalues and eigenvectors of the coefficient matrix in the system of ODEs. 3. Verify your answer for question (2) by using the eig function in MAT- LAB (make sure you comment on whether your solutions...
4. Use the Biot-Savart law to derive Equation 1. Show all your work. Use additional paper if needed. 5 Show that for 2 Helmholtz coils with N loops, and z=a/2, Equation 2 can be derived from Equation 1. Show all your work. Use additional paper if needed. Floure 4 Connections for em Experiment Theory A charged particle moving through a magnetic field experiences a force. In this experiment, the velocity of the accelerated electrons is perpendicular to the magnetic field,...
(prove orthogonality only)
8.6 Show that if fi = and f2 = then the energy in each of the signals si(t) and s2(t), given by Equation (8.2.15), is equal to Ep, and furthermore, they are orthogonal. Also show that if the above conditions are not satisfied but fiT » 1 and f2T» 1, then the energy in s0) and s2() can be very closely approximated by Ep, and the inner product of s1(t) and $2(t) is very close to zero....
finish all of them and show the process
lucdl US Law. I -II - N . 1. [2 Points] You have two rods, one is made of aluminum and the other is made of Pyrex glass. At T = 0°C, the length of the aluminum rod is LAL = 3.070 m, and the length of the Pyrex rod is LPyrex = 3.100 m. You are given that the coefficient of linear expansion for aluminum is a AL = 24 x...
NOTE: L Answer all questions and sub-questions. Bl. A neat detailed step-by-step answer to earn full credit. i. Partial credit given only if you show intermediate steps. iv. Even if the "final answer" is correct, I will check the steps 1. This question has 5 sub-questions. Answer all of them (35 POINTS) a. Is the following differential equation: i. Linear or non-linear? Why? ii. Time variant or time invariant? Why? b. In the following OP-AMP circuit: Find: HINT: Vacts as...
course name is environmental engineering
TABLE 4 Henry's Law Coefficients, KH (mol/L atm) T (C) 10 15 20 25 CO2 0.076425 0.063532 0.053270 0.045463 0.039172 0.033363 0.0021812 0.0019126 0.0016963 0.0015236 0.0013840 0.0012630 6) Using the Henry's Law Coefficient given in the ENV3001 lexthook, pages 63 to 64, and assuming a concentation o molecular oxygen in air of 21% compute the equilbnum concettratice efonypen in water at 20C and at 25℃ mpl. DO. Make a note of the diffecrence and commest...