A magnetic system has specific heat which is a function of applied magnetic field, Hand temperature,...
A magnetic system has specific heat which is a function of applied magnetic field, Hand temperature, T. It can be represented theoretically by
C(T,H) = C(H/T) = N ((H/T)^2)/(cosh^2(H/T)))
(a) Expand C(T,H) in power of (H/T) up to (H/T)4 assuming H
<< T.
(b) Sketch (freehand) the behavior of your answer as a function of
x = H/T.
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A magnetic system has specific heat which is a function of
applied magnetic field, Hand temperature,...
Problem 4 (hand-calculation): Consider the constant-pressure specific heat of air at high temperature presented in ta- ble 4, where T is the temperature and Cp is the specific heat. Determine a l...
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Question Completion Status QUESTION 18 Find the direction of the magnetic field acting on a moving...
Question Completion Status QUESTION 18 Find the direction of the magnetic field acting on a moving proton shown in the figure below if the direction of the magnetic force acting on it is as indicated. Assume that the magnetic field B acting on this proton is perpendicular to the velocity of this proton at the moment depicted in this figure. As a standard convention, the symbol denotes avector painting into the pape, and the symbol o denotes a vector pointing...
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Find the direction of the magnetic field is acting on a moving proton shown in the...
Find the direction of the magnetic field is acting on a moving proton shown in the figure below if the direction of the magnetic force acting an it is as indicated. Assume that the magnetic field Bacting on this proton is perpendicular to the velocity of this proton at the moment depicted in this figure. (As a standard convention, the symbol denotes a vecer pointing into the page, and the symbol o denotes a vector polering ow of the page)...
The magnetic susceptibility of a solid of volume v follows the Curie-Weiss law X = C/(T...
The magnetic susceptibility of a solid of volume v follows the Curie-Weiss law X = C/(T - theta ), where c and theta are constants for the material. obtain an expression for the heat capacity of the solid at constant applied field. By how much would the temperature of the solid decrease in an adiabatic demagnetization process from H_i to H_f? Sketch the processes on a T-S diagram.
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The specific heat c is the amount of heat necessary to change the temperature of 1.00...
The specific heat c is the amount of heat necessary to change the temperature of 1.00 kg of mass by 1.00°C. The specific heat c is a property of the substance; its Sl unit is J/(kg · K) or J/(kg.°C). Recall that the temperature change (AT) is the same in units of kelvin and degrees Celsius. water silver copper cup Case 1: A 0.780-kg silver pellet with a temperature of 85 °C is added to 0.150 kg of water in...
Learning Goal: To understand specific heat and heat of transformation and how they are related to...
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Question 1 A system of N identical non-interacting magnetic ions of spin Y%, has energy u...
Question 1 A system of N identical non-interacting magnetic ions of spin Y%, has energy u tHo for each spin. μο is the magnetic moment in a crystal at absolute temperature T in a magnetic field B. For this system calculate: a) The partition function, Z. b) Free energy, F. c) The entropy. S d) The average energy, U e) The average magnetic moment, M
Problem 4 (hand-calculation): Consider the constant-pressure specific heat of air at high temperature presented in ta- ble 4, where T is the temperature and Cp is the specific heat. Determine a least squares quadratic polynomial approximation for this set of data. The quadratic polynomial has the following form: Cp = a + bT+cT. where the coefficients a, b and c are to be determined using the least squares method. Hint Follow the derivation of linear regression discussed in class. You...
4. When an external magnetic field B is applied, a "spin-1" ion has 3 magnetic states with energies given Em=aBm, m=-1,0,1, where a is a constant of order a few times the Bohr magneton up = en/(2m). (Note: the notation here is quite different from that of Kittel & Kroemer who use "m" for the elementary magnetic moment which we have denoted a. In our terminology, m=ms is an integer quantum number: m=-1 labels the "spin down" state, m=0 labels...
Question Completion Status QUESTION 18 Find the direction of the magnetic field acting on a moving proton shown in the figure below if the direction of the magnetic force acting on it is as indicated. Assume that the magnetic field B acting on this proton is perpendicular to the velocity of this proton at the moment depicted in this figure. As a standard convention, the symbol denotes avector painting into the pape, and the symbol o denotes a vector pointing...
Find the direction of the magnetic field is acting on a moving proton shown in the figure below if the direction of the magnetic force acting an it is as indicated. Assume that the magnetic field Bacting on this proton is perpendicular to the velocity of this proton at the moment depicted in this figure. (As a standard convention, the symbol denotes a vecer pointing into the page, and the symbol o denotes a vector polering ow of the page)...
The magnetic susceptibility of a solid of volume v follows the Curie-Weiss law X = C/(T - theta ), where c and theta are constants for the material. obtain an expression for the heat capacity of the solid at constant applied field. By how much would the temperature of the solid decrease in an adiabatic demagnetization process from H_i to H_f? Sketch the processes on a T-S diagram.
3. In one experiment, the maximum magnetic field is 2 Tesla and the initial temperature is 300 K. Pretending that a nucleus has only two possible spin states, calculate the magnetization per particle, M/N, for this system. Take nuclear magnetic moment μ to be 5 x 108 ev/T. One can use resonant radio waves to detect such magnetizations. Calculate the energy that a radio wave photon should have to flip a single nucleus from one magnetic state to the other....
The specific heat c is the amount of heat necessary to change the temperature of 1.00 kg of mass by 1.00°C. The specific heat c is a property of the substance; its Sl unit is J/(kg · K) or J/(kg.°C). Recall that the temperature change (AT) is the same in units of kelvin and degrees Celsius. water silver copper cup Case 1: A 0.780-kg silver pellet with a temperature of 85 °C is added to 0.150 kg of water in...
Learning Goal: To understand specific heat and heat of transformation and how they are related to temperature versus time graphs Energy can be added to a system either by doing work w an it or by adding heat tot Energy transfer by work equires a force to act through some distance Energy ansfer in the form of heat occurs between objects that are different temperatures with onergy spontaneously aveling from the higher temperature object to the lower mperature one. When...
Question 1 A system of N identical non-interacting magnetic ions of spin Y%, has energy u tHo for each spin. μο is the magnetic moment in a crystal at absolute temperature T in a magnetic field B. For this system calculate: a) The partition function, Z. b) Free energy, F. c) The entropy. S d) The average energy, U e) The average magnetic moment, M
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