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KinematicsNode id: 33page |
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23-10-25 23:10:54 |
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Thermal Radiation. Quantum Nature of LightNode id: 4291page$\newcommand\lambdabar{ \raise2.5pt{\moveright5.0pt\unicode{0x0335}}\moveleft1pt\lambda }$ |
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23-10-25 23:10:28 |
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Test Collection :: Like a section of a bookNode id: 5980collection |
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23-10-25 22:10:35 |
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[NOTES/EM-04005] Uniqueness Theorems --- ExamplesNode id: 5975pageThe 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. |
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23-10-25 19:10:01 |
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[NOTES/EM-04009] The Method of ImagesNode 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.
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23-10-25 19:10:31 |
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[NOTES/EM-04008] The Method of Images --- ExamplesNode id: 5978pageIn 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. |
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23-10-25 18:10:57 |
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[NOTES/EM-04007] The Method of ImagesNode id: 5977pageThe solution of a potential for a point charge and a grounded infinite plane conductor is given, without any details, using the method of images. |
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23-10-25 16:10:10 |
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[NOTES/EM-04006] Uniqueness Theorems Node id: 5976pageUniqueness theorems for solutions of Laplace equation are stated and proved. |
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23-10-25 15:10:43 |
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[NOTES/EM-04004] Electric Field Near a Charged ConductorNode id: 5974pageGauss law is used to determine the electric field near the surface of a conductor is obtained in terms of the surface charge density. |
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23-10-25 09:10:49 |
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[NOTES/EM-04003] Green Function Method in Electromagnetic TheoryNode id: 5973pageThe Green function method for solution of the Poisson equation with different types of boundary conditions, Dirichlet and Neuman, are discussed.
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23-10-25 08:10:04 |
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[NOTES/EM-04002] Poisson Equation in Cylindrical coordinatesNode id: 5972page$\newcommand{\pp}[2][]{\frac{\partial #1}{\partial #2}}$ $\newcommand{\PP}[2][]{\frac{\partial^2#1}{\partial #2^2}}$
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. |
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23-10-25 06:10:18 |
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[NOTES/EM-04001] Conductors in ElectrostaticsNode id: 5971pageSeveral important properties of perfect conductors in electrostatic situation are discussed. |
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23-10-25 06:10:04 |
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[NOTES/EM-03021] Intuitive Proof of Path Independence of Work in ElectrostaticsNode id: 5970pageAn intuitive proof of path independence of work done by electrostatic forces is given following Feynman. |
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23-10-22 21:10:39 |
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[NOTES/EM-03020] Proof of Gauss Law from Maxwell's EquationsNode id: 5969pageA vector calculus proof of Gauss law is given starting from the Maxwell's equation \(\text{div} \vec E=\frac{\rho}{\epsilon_0}\) |
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23-10-22 21:10:11 |
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[NOTES/EM-03016] Electric Potential of Finite Charged Line SegmentNode id: 5967pageThe 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. |
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23-10-22 18:10:24 |
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[NOTES/EM-03013] Electrostatic Energy of NucleiNode id: 5966pageThe electromagnetic contribution to the difference in binding energies of mirror nuclei is computed. The numerical values are compared with the binding energy difference
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23-10-22 15:10:26 |
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[NOTES/EM-03015] Energy of a Continuous Charge DistributionNode id: 5965page$\newcommand{\Label}[1]{\label{#1}}\newcommand{\eqRef}[1]{\eqref{#1}}$
The electrostatic energy associated with continuous charge distribution is shown to correspond to energy \(\frac{\epsilon_0}{2} |\vec E|^2\) per unit volume. |
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23-10-21 06:10:54 |
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[NOTES/EM-03014] Discussion of Electrostatic EnergyNode id: 5964pageThe 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. |
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23-10-21 06:10:34 |
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[NOTES/EM-03012] Electrostatic Energy of a CapacitorNode id: 5963pageThe 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. |
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23-10-21 05:10:54 |
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[NOTES/EM-03011]-Summary of Maxwell's equations for ElectrostaticsNode id: 5649pageMaxwell's equations for electrostatics are summarized and relation with the known laws is described. |
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23-10-19 11:10:51 |
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