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Node id: 33page
ranjan's picture 23-10-25 23:10:54 n

Thermal Radiation. Quantum Nature of Light

Node id: 4291page
ranjan's picture 23-10-25 23:10:28 n

Test Collection :: Like a section of a book

Node id: 5980collection
kapoor's picture 23-10-25 22:10:35 n

[NOTES/EM-04005] Uniqueness Theorems --- Examples

Node id: 5975page

The solution of Poisson equation in a region, is unique for a specified charge density and under given  boundary  conditions. The uniqueness theorem is explained by means of several simple examples.

kapoor's picture 23-10-25 19:10:01 n

[NOTES/EM-04009] The Method of Images

Node id: 5979page

The method of images makes use of The uniqueness of solutions to boundary value problem makes it possible to relate solution of a given problem in a region \(R\)to another problem with same charge density and boundary conditions. The basic working of the method of images exploits  this by for probles involving conductors. It relates the given  problem to another problem without conductors but with a set of image charges chosen in a manner that meets the requirement of the uniqueness theorem. The solution to the second problem then provides the desired solution.

kapoor's picture 23-10-25 19:10:31 n

[NOTES/EM-04008] The Method of Images --- Examples

Node id: 5978page

In this section the solution of a boundary value problem involving a point charge and a grounded conducting sphere is obtained using the method of images.

kapoor's picture 23-10-25 18:10:57 n

[NOTES/EM-04007] The Method of Images

Node id: 5977page

The solution of a potential for a point charge and a grounded infinite plane conductor is given, without any details, using the method of images.

kapoor's picture 23-10-25 16:10:10 n

[NOTES/EM-04006] Uniqueness Theorems

Node id: 5976page

Uniqueness theorems for solutions of Laplace equation are stated and proved.

kapoor's picture 23-10-25 15:10:43 n

[NOTES/EM-04004] Electric Field Near a Charged Conductor

Node id: 5974page

Gauss law is used to determine the electric field near the surface of a conductor is obtained in terms of the surface charge  density.

kapoor's picture 23-10-25 09:10:49 n

[NOTES/EM-04003] Green Function Method in Electromagnetic Theory

Node id: 5973page

The Green function method for solution of the Poisson equation with different types of boundary conditions, Dirichlet and Neuman, are discussed.
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kapoor's picture 23-10-25 08:10:04 n

[NOTES/EM-04002] Poisson Equation in Cylindrical coordinates

Node id: 5972page

Problems with cylindrical symmetry can be solved by separating the variables of the Poisson equation in cylindrical coordinates.  The separation of variables for this class of problems and boundary conditions are explained.

AK-47's picture 23-10-25 06:10:18 n

[NOTES/EM-04001] Conductors in Electrostatics

Node id: 5971page

Several important properties of perfect conductors in electrostatic situation are discussed.

AK-47's picture 23-10-25 06:10:04 n

[NOTES/EM-03021] Intuitive Proof of Path Independence of Work in Electrostatics

Node id: 5970page

An intuitive proof of path independence of work done by electrostatic forces is given following Feynman.

AK-47's picture 23-10-22 21:10:39 n

[NOTES/EM-03020] Proof of Gauss Law from Maxwell's Equations

Node id: 5969page

A vector calculus proof of Gauss law is given starting from the Maxwell's equation \(\text{div} \vec E=\frac{\rho}{\epsilon_0}\)

AK-47's picture 23-10-22 21:10:11 n

[NOTES/EM-03016] Electric Potential of Finite Charged Line Segment

Node id: 5967page

The electric potential due to charge spread uniformly on a finite line segment is computed.The electric potential due to charge spread uniformly on a finite line segment is computed.

AK-47's picture 23-10-22 18:10:24 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

[NOTES/EM-03015] Energy of a Continuous Charge Distribution

Node id: 5965page

The electrostatic energy  associated with continuous charge distribution is shown to correspond to  energy \(\frac{\epsilon_0}{2} |\vec E|^2\) per unit volume.

AK-47's picture 23-10-21 06:10:54 n

[NOTES/EM-03014] Discussion of Electrostatic Energy

Node id: 5964page

The  two expressions for electrostatic energy in terms of the electric field for a  systems of point charges and for a  continuous charge distributions are discussed. The computation of electrostatic energy for point charges does not include the self energy. This expression  can be positive or negative and is zero for a single point charge. On the other hand the expression for energy density for continuous charges is always  be positive definite  and becomes infinite when applied to a single point charge.

AK-47's picture 23-10-21 06:10:34 n

[NOTES/EM-03012] Electrostatic Energy of a Capacitor

Node id: 5963page

The energy stored in a  charged capacitor, \(\frac{1}{2}CV^2\) is shown to coincide with the expression derived from the energy density,  \(\frac{\epsilon_0}{2}\big(\vec{E}\cdot\vec{E}\big)\), of static fields. 

AK-47's picture 23-10-21 05:10:54 n

[NOTES/EM-03011]-Summary of Maxwell's equations for Electrostatics

Node id: 5649page

Maxwell's equations for electrostatics are summarized and relation with the known laws is described.

AK-47's picture 23-10-19 11:10:51 n