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[NOTES/EM-10006]-Maxwell's Fourth Equation, Displacement CurrentNode id: 5739page$\newcommand{\DD}[2][]{\frac{d^2 #1}{d^2 #2}}$
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We discuss how Maxwell's addition of a displacement current in the fourth equation.
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23-03-03 21:03:00 |
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[1998TH/LNP-28]-Joule Thomson ExperimentNode id: 5599page |
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22-07-17 18:07:27 |
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[NOTES/ME-02010]-Rotation of Vector about an Arbitrary AxisNode id: 5670page |
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22-08-14 10:08:35 |
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[QUE/TH-09001] TH-PROBLEMNode id: 5169pageConsider the following expressions for entropy. Which ones can possibly be a fundamental equation and which ones violate one or more of postulates II,III and IV?
- $S\,=\,K_1\left(NVU\right)^{1/3}$
- $ S\,=\,K_2\left(\frac{NU}{V}\right)^{2/3} $
- $ S\,=\,K_3\left(\frac{V^3}{NU}\right)$
- $ S\,=\,N{\rm{\ln}}\left(\frac{UV}{N^2K_4}\right)$
$K_i$'s are positive constants so that dimensions match. $S,U,N,V $ are the entropy, internal energy, number of particles and volume respectively.
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22-01-13 18:01:44 |
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[NOTES/QM-25005] Einstein $A$ and $B$ CoefficientsNode id: 4974page$\newcommand{\DD}[2][]{\frac{d^2 #1}{d^2 #2}}\newcommand{\matrixelement}[3]{\langle#1|#2|#3\rangle}\newcommand{\PP}[2][]{\frac{\partial^2 #1}{\partial #2^2}}\newcommand{\dd}[2][]{\frac{d#1}{d#2}}\newcommand{\pp}[2][]{\frac{\partial #1}{\partial #2}}\newcommand{\average}[2]{\langle#1|#2|#1\rangle}\newcommand{\ket}[1]{\langle #1\rangle}$
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24-04-09 14:04:32 |
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Time Indepdendent Perturbation Theory --- Test- cum-sample PageNode id: 5370page |
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22-04-12 18:04:00 |
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[QUE/EM-02001]Node id: 5439page[1] A thin glass rod is bent into a semicircle of radius $R$. A charge $+Q$ is
uniformly distributed along the upper half and a charge $-Q$ is distributed
uniformly along the lower half as shown in the figure. Find the electric field
at
P, the center of the semicircle.
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22-05-24 13:05:33 |
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[2003SM/LNP-15] Lecture-15--Quantum Effects in Statistical MechanicsNode id: 5540pageQuantum effects in macroscopic systems appear in two ways. The first the energy levels are quantized. The quantization of energy levels does not need any modification in the framework. Secondly identical nature of particles constituting the system. This requires a new approach to enumerating the microstates. The microstates are not labeled by coordinates and momenta as is the case in classical theory. In quantum theory the microstates are specified by giving the number of particles for different levels.
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22-07-07 07:07:53 |
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Elementary Particle Physics --- Notes for Lectures and Problems [EPP-MIXED-LOT]Node id: 4703collectionElementary Particle Physics
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21-12-30 22:12:34 |
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[NOTES/EM-07004] Stokes TheoremNode id: 6000page
Relationship between the normal to a surface and the orientation of its boundary curve, as they should appear in Stokes theorem are explained.
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23-11-05 07:11:25 |
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[QUE/TH-06005] TH-PROBLEMNode id: 5164page1 kg of water is heated [sp heat=1 K calorie/kg] by an electric stove from $20^o$ to $99^o$. Find
- The change in internal energy
- The change in entropy
- Maximum work one can get using water at $99^o$ as a heat reservoir and another sink at $20^o$
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22-01-09 21:01:23 |
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[NOTES/EM-02009] Line Integrals In PhysicsNode id: 5955pageA few examples of problems are given from electromagnetic theory and other areas of physics are given in which the line integral appears.
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23-10-12 17:10:01 |
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[NOTES/EM-03009]-Coulomb's Law from Maxwell's Equations --- An OutlineNode id: 5647pageThe derivation of Maxwell's first equation, \(\nabla\cdot\bar{E}=\rho/\epsilon_0\), from from Coulomb's law is outlined using the Green function for the Poisson equation.
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22-08-11 12:08:38 |
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[NOTES/ME-14006]-Tensor Nature of Moment of InertiaNode id: 5700page |
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22-08-16 16:08:14 |
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[QUE/TH-02011] TH-PROBLEMNode id: 5202pageFig.-2 shows five processes, $a-b,~b-c,~c-d,~d-a,~a-c$,
plotted in the $P-v$ plane for an ideal gas in a closed system. Show
the same processes (a) in the $P-T$ plane. (b) in the $T-v$
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22-01-20 09:01:44 |
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[NOTES/QM-17009] Addition of Angular Momenta Using TablesNode id: 4821page$\newcommand{\DD}[2][]{\frac{d^2 #1}{d^2 #2}}$
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qm-lec-17009
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22-03-04 09:03:02 |
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[2019CM/QUIZ-02]Node id: 5341pageClassical Mechanics June 17, 2019
Quiz-II
- For a system with coordinates \(q_k\) and canonical momenta \(p_k\), compute the Poisson brackets \begin{equation} \{q_k, F(q,p)\}_\text{PB}; \qquad \qquad\{p_k, G(q,p)\}_\text{PB} \end{equation}
- Set up Lagrangian for a coupled pendulum shown in figure below. Assume that the system while oscillating remains in a vertical plane.
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22-04-03 11:04:30 |
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[2008EM/QUIZ-01A]Node id: 5409page |
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22-05-11 07:05:55 |
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[QUE/EM-01016] --- EM-PROBLEMNode id: 5494pageAn electron moving with speed of $5.0\times 10^8$cm/sec is shot parallel to an electric field strength of $1.0\times 10^3 $nt/coul arranged so as to retard its motion.
- How far will the electron travel in the field before coming (momentarily) to rest ?
- how much time will elapse?
- If the electric field ends abruptly after $0.8$ cm, what fraction of its initial energy will the electron loose in traversing the field?
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22-06-18 12:06:07 |
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[QUE/SM-04018] SM-PROBLEMNode id: 5089pageConsider N particles having volume V with the energy per particle be given by the relativistic expression $\sqrt{c^2\,p^2\,+\,m^2\, c^4}$. It is in equilibrium with a reservoir at temperature T. Assuming $\frac{p}{mc}$ is small, find the leading correction to the (a) Canonical partition function and (b) Entropy in terms of V,N and T up to an overall constant.
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22-01-09 20:01:08 |
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