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[LECS/EM-03002]-Examples of Computation of Electric Potential

Node id: 5652page

We give details of computation of potential for the following examples.
1. Uniformly Charged Ring
2. Uniformly Charged Disc
3. Thin Spherical Shell
4. Uniformly Charged Solid Sphere

AK-47's picture 24-03-30 05:03:22 n

[NOTES/QM-18005]Born Approximation

Node id: 4833page

$\newcommand{\DD}[2][]{\frac{d^2 #1}{d^2 #2}}$ 
$\newcommand{\matrixelement}[3]{\langle#1|#2|#3\rangle}$
$\newcommand{\PP}[2][]{\frac{\partial^2 #1}{\partial #2^2}}$
$\newcommand{\dd}[2][]{\frac{d#1}{d#2}}$
$\newcommand{\pp}[2][]{\frac{\partial #1}{\partial #2}}$
$\newcommand{\average}[2]{\langle#1|#2|#1\rangle}$
$\newcommand{\ket}[1]{\langle #1\rangle}$
qm-lec-18005

AK-47's picture 22-03-03 22:03:07 y

[NOTES/EM-07005]-Torque on a Current Carrying Loop

Node id: 5710page

 


An expression for torque on a current carrying loop in magnetic field is obtained. It is shown that the torque is given by \(\vec{\tau}=\vec{m}\times\vec{B}\), where \(\vec{m}\) is the magnetic moment of the loop. For a planar loop\(|\vec{m}|=\) current \(\times\) area.


 

AK-47's picture 24-03-05 09:03:22 n

[QUE/SM-08003] SM-PROBLEM

Node id: 5090page

Consider a photon gas in two dimensions at temperature T in area A. Find the energy density $u(\omega)$ as a function of temperature and various physical constants. Show that the total energy is proportional to $T^3$. ( you can assume that the internal degree of freedom is 1. 

AK-47's picture 22-01-09 20:01:35 n

[QUE/TH-02005] TH-PROBLEM

Node id: 5196page

A wire undergoes an infinitesimal change from an initial
equilibrium state to a final equilibrium state, show that the
change of tension is equal to
$$
d\mathcal{J} = -\alpha A Y d\theta + {AY\over L} ~dL
$$

AK-47's picture 22-01-16 17:01:39 n

[2019CM/QUIZ-03]

Node id: 5342page

Classical Mechanics                                June 24, 2019   

Quiz-III

  • Define spherically symmetric potential.                                                                      [4]
  • Plot effective potential for isotropic oscillator potential \(V(r)=\frac{1}{2}m \omega^2r^2\). Find the radius of circular orbit(s).                                                                            [6]
  • Under a rotation of coordinate axes about \(\hat{n}=\frac{1}{\surd 3}(1,1,1)\) by an angle \(\pi/3\) what will be the vectors representing the new axes?

. 

AK-47's picture 22-04-01 13:04:09 n

[2008EM/HMW-09]

Node id: 5406page
AK-47's picture 22-05-10 20:05:42 n

[LECS/QM-24001] An Overview of Approximation Methods for Time Dependent Schrodinger Equation

Node id: 5474page
AK-47's picture 22-06-05 15:06:13 n

[1998TH/LNP-08] Lecture -8 Pure Substances

Node id: 5550page
AK-47's picture 22-07-08 07:07:52 n

[STR/CV-05001]-Summary of Points to be Remember

Node id: 5620page
AK-47's picture 22-08-06 14:08:09 n

[NOTES/QM-16003] Solution of Radial Equation for a Constant Potential

Node id: 4782page
AK-47's picture 22-03-07 19:03:52 n

[NOTES/ME-06007]-no title

Node id: 5684page
AK-47's picture 22-08-14 19:08:52 n

[NOTES/EM-10007]-Time Varying Fields ,Ampere's Law

Node id: 5740page

We explain how Maxwell's addition of a displacement current in the fourth equation.


 

AK-47's picture 23-03-03 20:03:30 n

TESING NODE 5022 LATEX CODE

Node id: 5025page
AK-47's picture 21-12-08 20:12:16 n

[QUE/TH-07002] TH-PROBLEM

Node id: 5166page

Find the specific heat $C_H$ of a substance at constant enthalpy and show that it is equal to
$$ C_H\,=\,\frac{C_p}{1\,-\,\frac{T}{V}\times\left(\frac{\partial V}{\partial T}\right)_p} $$
where we are using the standard notation.

 

AK-47's picture 22-01-13 18:01:19 n

[QUE/SM-05003] SM-PROBLEM

Node id: 5224page

Consider free fermions at temperature $T\,=\,300^o$ K. The Fermi energy is $5$ electron volt. Give a qualitative argument why the specific heat for such a system is linearly proportional to the temperature.

AK-47's picture 22-01-23 20:01:23 n

[NOTES/EM-03013] Electrostatic Energy of Nuclei

Node id: 5966page

The electromagnetic contribution to the difference in binding energies of mirror nuclei is computed. The numerical values are compared with the binding energy difference

 

AK-47's picture 23-10-22 15:10:26 n

[PSET/EM-02002]

Node id: 5437page
AK-47's picture 22-05-26 18:05:21 n

[2003SM/LNP-23] Lecture 23 --- Ideal Bose Gas

Node id: 5522page
AK-47's picture 22-07-04 10:07:38 n

[1998TH/LNP-18]-Carnot Cycle

Node id: 5588page
AK-47's picture 22-07-17 18:07:31 n

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