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[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/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

[YMP/EM-10001] Energy Stored in a Solenoid

Node id: 5934page
 kapoor's picture 23-05-26 12:05:47 n

[YMP/EM-09003] Metallic rod in magnetic field sliding on inclined rails

Node id: 5933page
 kapoor's picture 23-05-25 21:05:56 n

[YMP/EM-09002] Rotating Copper Rod in Magnetic Field

Node id: 5932page
 kapoor's picture 23-05-25 21:05:44 n

[YMP/EM-09001] Charged Wheel in Time Varying Magnetic Field

Node id: 5931page
 kapoor's picture 23-05-25 21:05:26 n

[OBJ/EM-04004] Plane conductor and a point charge

Node id: 5922page

A charged particle is at a distance \( d\) from an infinite conducting plane maintained at zero potential. When released from rest, the particle reaches a speed \( u\) at a distance \( d/2\) from the plane. At what distance from the plane will the particle reach the speed \( 2u\)?

(a) \( d/6 \)
(b) \( d/3 \)
(c) \( d/4 \)
(d) \( d/5 \)

 kapoor's picture 23-05-24 03:05:44 n

[OBJ/EM-04004] Plane conductor and a point charge

Node id: 5921page

A charged particle is at a distance \( d\) from an infinite conducting plane maintained at zero potential. When released from rest, the particle reaches a speed \( u\) at a distance \( d/2\) from the plane. At what distance from the plane will the particle reach the speed \( 2u\)?

  1. \( d/6 \)
  2. \( d/3 \) \\
  3. \( d/4 \)
  4. \( d/5 \)
 kapoor's picture 23-05-23 20:05:13 n

Python Script for modifying file contents

Node id: 693blog
 Aashutosh's picture 23-05-22 15:05:34 n

[WART/EM-01009] Confusion Between B and H

Node id: 5920page
 ashok's picture 23-05-21 04:05:42 n

HTML Editor

Node id: 531webform

Help The first authoring tool you should master!

A feature-rich editor with support for mathematical expressions/equations. Explore by editing your page with embedded images, tables and videos.

Check the Help on advanced features and mathematical expressions.

WYSIWYG+Math

The WYSIWYG HTML Editor lets you create visually formatted (HTML) content [without any knowledge of HTML) with the help of buttons in the top toolbar of the editing area.

This editor is available for editing all content types a member (a Blogger or an Author) can create/edit.

As a Guest (not logged in) user, you can still use all features except saving or inserting images/multi-media objects from personal workspace.

Mathematical expressions can be inserted within HTML text of all content types (e.g., page, book page, blog, forum. The mathematical expressions must be typed using the syntax of TeX/LaTeX.

Toolbar

The toolbar buttons are similar to those you have seen in What-You-See-Is-What-You-Get (WYSIWYG) editors like MSWORD (in Windows) or OpenOffice (or LibreOffice) Writer (in LINUX).

HTML Code

All content formatting information is converted into HTML code, which can be seen either by clicking the "HTML" button in the toolbar.

If you know HTML, you can do some editing in HTML mode also to do more than the toolbar buttons do. However, you must be very careful in using HTML mode.

 ranjan's picture 23-05-20 14:05:29 n

[YMP/EM-01004] Solved Problem

Node id: 5901page
 kapoor's picture 23-05-11 23:05:26 n

[YMP/EM-01002] inkjet Printer

Node id: 5900page
 kapoor's picture 23-05-11 23:05:45 n

[2023CNG/QM-04001] Lecture -4 MCQ Problem Solving

Node id: 5911page
 kapoor's picture 23-05-09 00:05:04 n

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