
testing/debuggingNode id: 6007page\begin{equation} \frac{\mu_0}{4\pi} =10^{7} \text{henry/meter} \end{equation} 

231107 06:11:55 
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[SUM/EM10001] Summary of Equations in Static and Dynamic SituationsNode id: 6001page 

231106 08:11:07 
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[NOTES/EM07003]Biot Savart Law from Maxwell's equationsNode id: 5709page$\newcommand{\DD}[2][]{\frac{d^2 #1}{d^2 #2}}$ $\newcommand{\matrixelement}[3]{\langle#1#2#3\rangle}$ $\newcommand{\PP}[2][]{\frac{\partial^2 #1}{\partial #2^2}}$ $\newcommand{\dd}[2][]{\frac{d#1}{d#2}}$ $\newcommand{\pp}[2][]{\frac{\partial #1}{\partial #2}}$ $\newcommand{\average}[2]{\langle#1#2#1\rangle}$
Starting form Maxwell's equations for magnetostatics, vector potential is introduced and the BiotSavart Law is derived.


231105 07:11:57 
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[NOTES/EM07002]Current ConservationNode id: 5708page
The equation of continuity for conservation of electric is derived. An expression for current in a wire is obtained in terms of number of electrons per unit volume.


231105 07:11:37 
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[NOTES/EM07001]Electric CurrentNode id: 5707page
In this section we compute the leading term in the magnetic field of a current loop at large distances and obtain an expression for the magnetic moment of the loop.


231105 07:11:56 
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[NOTES/EM07017]Node id: 5997page
The magnetic moment for a point particle is shown to be related to the angular momentum \(\ell\) and is given by \begin{equation} \vec{m} = \frac{q}{2M}\vec{\ell} \end{equation}


231105 07:11:02 
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[NOTES/EM07004] 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.


231105 07:11:25 
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[NOTES/EM07021] Cross Product RuleNode id: 5999page 

231105 00:11:20 
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[NOTES/EM07014] Conservation Laws for Electromagnetic FieldsNode id: 5998page$\newcommand{\Tca}{\mathcal T}\newcommand{\Pca}{\mathcal P}$ 

231104 23:11:23 
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[NOTES/EM01001] Electromagnetic Theory  RepositoryNode id: 5996collection
 This repository of NOTES in quantum mechanics.
 Created for internal use of PROOFS PROGRAM
 Primarily useful for content authors.


231104 15:11:10 
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[NOTES/CM01001] Classical Mechanics  RepositoryNode id: 5995collection
 This repository of NOTES in quantum mechanics.
 Created for internal use of PROOFS PROGRAM
 Primarily useful for content authors.


231104 15:11:08 
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[NOTES/QMALL] Quantum Mechanics  REPOSITORYNode id: 5994collection
 This repository of NOTES in quantum mechanics.
 Created for internal use of PROOFS PROGRAM
 Primarily useful for content authors.


231104 14:11:57 
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[NOTES/EM07020] Charge ConservationNode id: 5993pageThe meaning of charge conservation is discussed. It is known to be mathematically represented by the equation of continuity. It is argued that special relativity requires that there should be a 'current' associated with every conserved quantity. 

231104 05:11:01 
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[LECS/QMALL] Quantum Mechanics  No Frill Lecture Notes Node id: 5874collectionAbout this collection: This is a collection of Lecture Notes on Quantum Mechanics. An effort is made to keep the content focused on the main topics. There is no discussion of related topics and no digression into unnecessary details.
Who may find it useful: Any one who wants to learn or refresh all topics in standard two semester quantum mechanics courses.
Topics covered: The list of topics covered appears in the main body of this page. Click on any topic to see details and links to content pages.


231103 14:11:26 
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[NOTES/EM07006]Lorentz Force on a Current DistributionNode id: 5711pageStarting from Lorentz force per unit volume on a current carrying conductor due to magnetic field is shown to be \(\vec{j}\times\vec{B}\) 

231103 12:11:44 
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[NOTES/EM07019] Solving for Vector PotentialNode id: 5992page$ \newcommand{\Prime}{^\prime}$ 

231102 18:11:39 
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[NOTES/EM07018] Poisson Equation for Vector Potential.Node id: 5991page 

231102 18:11:21 
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[NOTES/EM04017] Magnetic Moment of a System of Point Particles Node id: 5990pageThe magnetic moment for a point particle is shown to be related to the angular momentum \(\ell\) and is given by \begin{equation} \vec{m} = \frac{q}{2M}\vec{\ell} \end{equation} 

231102 17:11:12 
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[NOTES/EM07016] Force on a Line and Volume Element of a WireNode id: 5989pageExpressions for force on line and volume elements of a current in magnetic field are derived. 

231102 16:11:52 
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[NOTES/EM07015] Current Density  ExamplesNode id: 5988page 

231102 16:11:09 
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