
[YMP/EM04008] Force Between the Hemispheres Parts of a Uniformly Charged SphereNode id: 5929pageA conducting spherical shell of radius \(R\) is placed in a uniform electric field along the \(Z\) axis.A plane perpendicular to the electric field divides the shell into two equal halves. Show that the Coulomb force acting on the hemispherical surfaces which tends to separate them is across the diametral plane perpendicular to \(\vec E\) is given by \[ F = \tfrac{9}{4}\pi \epsilon_0 R^2 E_0^2\] 

231122 12:11:47 
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[YMP/EM04006] Point Charge and an Infinite PlaneNode id: 5927pageProblem
A point charge is placed at a distance \(d\) from an infinite grounded conducting plane sheet. Assuming the standard image charge, find
 induced surface charge density. Show that the total induced charge is equal to−q
 find the potential due to the induced charge;
 using Coulomb's law, find the force between the charge and conducting sheet making use of the induced surface charge density on the plane.
\(\newcommand{\pp}[2][]{\frac{\partial #1}{\partial #2}}\) 

231122 12:11:19 
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[YMP/EM04005] Using Maxwell Stress TensorNode id: 5926pageDerive the Coulomb force due to a static charge on another static charge using the Maxwell stress tensor. 

231122 11:11:30 
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[YMP/EM04003] Electrostatic energy of a point charge and a grounded infinite conducting plane. Node id: 5924pageProblem: What is the electrostatic energy of a point charge placed near an grounded infinite conducting plane. Show that this is not equal to the energy of the point charge and it image. 

231122 11:11:19 
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[YMP/EM04004] Grounded Conducting Sphere in Uniform Electric Field Node id: 5925pageThe problem of a conducting sphere in a uniform electric field is solved. Unlike many other problems, in this problem the potential does not go to zero as $\longrightarrow \infty$. 

231121 22:11:49 
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[YMP/EM04001] Grounded Conducting Sphere and a Point Charge Node id: 5923pageTwo point charges \(Q\) and \(Q^\prime\) are located at positions given by \(\vec{a}, \vec{b}, (a\ne b) \). Find the conditions on \(Q, Q^\prime, a, b \) so that the potential on the surface of a sphere of radius \(R\) with center at the origin may be zero.
Note the result of this problem is used in solution for electric potential of a grounded conducting sphere in presence of a point charge by the method of images. 

231120 22:11:46 
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[QUE/EMALL] Repository of EM Theory Problems and QuestionsNode id: 5841pageThis repository is a collection of PROBLEMS and QUESTIONS in Electromagnetic Theory. These are arranged according to topics in the subject. Not sorted, or arranged, in any particular order within a topic.
Suitable for teachers and content developers only.
Click on any topic to browse all available problems.
(Click opens an embedded window) 

231120 20:11:51 
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[NOTES/EMALL] Repository of EM Theory NOTESNode id: 5987pageThis is a repository of NOTES in EMTheory. Recommended only for authors and content developers. Not useful for visitors looking for study material.


231120 18:11:16 
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[YMP/EM02005] Field due to a Uniformly Charged RingNode id: 6018pageThe electric field due to a charged ring, at a point on its axis, is computed using Coulomb's law. 

231117 13:11:09 
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[LECS/EM01001] Units and ConstantsNode id: 6008page 

231116 11:11:17 
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[LECS/EM01002] Electric and Magentic FieldsNode id: 5857page 

231110 14:11:34 
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[NOTES/EM01009] From Action at a Distance to Field ConceptNode id: 5952page
The concept of electric field to describe the interaction of charged particles is briefly explained. Instead of the Coulomb interaction, which is an instantaneous action, we say a charge produces electric field which in turn acts on another charge present at some other point. Similarly the magnetic force on a current, or a moving charged particle is described in terms of magnetic field produced by a magnet or a current..


231110 11:11:46 
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Jumping RIngsNode id: 6011video_page 

231110 06:11:59 
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Jumping RIngsNode id: 6010video_page 

231110 06:11:54 
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[NOTES/EM01007] Using dimensional Analysis to get Quick Numerical EstimatesNode id: 5950pageBy means of a few examples we show how dimensional analysis can be used to quickly estimate numerical values of expressions occurring in problems. 

231109 20:11:52 
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[LECSEMALL] Electromagnetic Theory  NO FRILL LECTURESNode id: 6009collection 

231109 08:11:22 
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[LECS/EM01003] Motion of Charges in Electric and Magnetic FieldsNode id: 6003pageSeveral examples of motion of charges in electric and magnetic fields are presented. 

231107 23:11:14 
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[NOTES/EM01013] SI System of UnitsNode id: 6005pageThe Si system of units are explained. This is the system that will be used everywhere in the resources of Proofs program. 

231107 09:11:39 
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[NOTES/EM01012] Some Important ConstantsNode id: 6004pageThe numerical values of a few important constants are listed. 

231107 07:11:58 
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[NOTES/EM01014] Gaussian UnitsNode id: 6006pageWe briefly present Gaussian units and trace the source of appearance of velocity of light in Maxwell's equations. 

231107 07:11:44 
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