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[NOTES/EM-02002]-Line, Surface and Volume Charge Distributions

Node id: 5566page

Continuous charge distributions spread over a line, or a surface, or volume, are introduced. The electric field due to a continuous charge distribution is obtained by dividing the charge distributions into infinitesimal elements, and summing over electric fields due to the small elements. The computation can often be simplified by making use of symmetries of the problem.

AK-47's picture 23-10-07 05:10:31 n

[NOTES/EM-02001] -Coulomb’s Law and Electric Field

Node id: 5564page

Coulomb’s law is stated for electric field of a point particle. For several point charges the field is obtained as a vector sum of the fields of individual charges

AK-47's picture 23-10-07 05:10:39 n

[NOTES/EM-02005] Flux of $\bar{E}$ and Using Gauss law

Node id: 5577page

The flux of electric field is defined and As a simple example, the flux of the electric field due to a point charge at the center of a sphere is explicitly computed. Other cases are briefly mentioned an statement of Gauss law is given.

AK-47's picture 23-10-02 12:10:31 n

[NOTES/EM-01011] $\vec B$ vs $\vec H$ --- Naming convention.

Node id: 5953page

We will call \(\vec B\) field as magnetic field when no medium is present.\\ In presence of a magnetic medium, \(\vec B\) will be called magnetic flux density or  magnetic induction. The field \(vec H\) will called  magnetic intensity or magnetic field intensity

AK-47's picture 23-09-30 03:09:36 n

[NOTE/EM-01008] How are Fields Produced?

Node id: 5951page

A brief overview of how electric and magnetic fields produced.

AK-47's picture 23-09-30 03:09:15 n

Finite Dimensional Vector Spaces --- Notes for Lectures and Problems [VS-MIXED-LOT]

Node id: 4692collection


AK-47's picture 23-09-15 12:09:11 n

[QUE/EM-02057] Field of Hemisphere

Node id: 5949page

Find the electric field due to a uniformly charged hemisphere of radius \(R\) at the north pole.

kapoor's picture 23-08-02 12:08:17 n

[QUE/EM-02005] Field due to charges on a square

Node id: 5948page

Find the direction and magnitude of $\vec{E}$ at the center of a square with charges at the corners as shown in figure below. Assume that $ q= 1\times 10^{-8}$coul, $a=5$cm


kapoor's picture 23-07-31 23:07:45 n

[QUE-SOL/EM-01001] Solution

Node id: 5947page


kapoor's picture 23-07-07 06:07:42 n

[WART/EM-01011] 1855 Experiment on Measurement of 'c' by Weber and Kohlrausch

Node id: 5946page
ashok's picture 23-06-20 01:06:40 n

[WART/EM-01010] Moton o f Charged Particles in Electric and Magnetic Fields

Node id: 5945article
ashok's picture 23-06-14 11:06:30 n

[QUE/EM-02024] Electric Field of a Cylindrical Shell

Node id: 5944page

The electric field is to be computed at a point $P$ on the axis of a thin cylindrical shell having uniform surface charge density $\sigma$. Divide the shell by planes perpendicular to the axis, and using the expression for a electric field due to a uniformly charged ring, write expressions for the field as an integral.

Compute the integral for the cylindrical shell and show that the field due to the cylindrical shell is given by $$ E = \frac{Q}{4\pi\epsilon_0}\frac{1}{(b-a)}\left(\frac{1}{\sqrt{a^2+R^2}}-\frac{1}{\sqrt{ b^2+R^2}}\right) $$ where \(Q\) is the total charge on the cylinder.

kapoor's picture 23-06-11 20:06:28 n

[NOTES/EM-01001] Units and Dimensions in E. M. Theory

Node id: 5475page

The SI units in use in electromagnetic theory are explained and values of some important  constants given.

kapoor's picture 23-06-07 07:06:03 n

[NOTES/QM-06004] A Discussion of The Third Postulate of Quantum Mechanics

Node id: 5877page
kapoor's picture 23-06-06 18:06:55 n

[NOTES/ODE-02004] Series Solution Case-IV

Node id: 1753page
kapoor's picture 23-06-06 09:06:44 n

[NOTES/EM-04015] Force on a Charged Conductor in Uniform External Electric field

Node id: 5939page

Force on a hemisphere of a conducting shell in uniform electric field is computed  and is shown to be

\[ F = \frac{9}{4}\pi \epsilon_0 R^2 E_0^2\]


kapoor's picture 23-06-05 22:06:46 n

[YMP/EM-10005] Heating of a Resistance Wire

Node id: 5938page
kapoor's picture 23-05-26 13:05:52 n

[YMP/EM-10004] Examples of Flow of Energy\\ Charging of a Capacitor

Node id: 5937page
kapoor's picture 23-05-26 12:05:35 n

[YMP/EM-10003] Charging of a Capacitor

Node id: 5936page
kapoor's picture 23-05-26 12:05:11 n

[YMP/EM-10002] Energy stored in a capacitor

Node id: 5935page
kapoor's picture 23-05-26 12:05:25 n