Transverse electric field, Mechanical Engineering

Transverse Electric Field

Consider a charged particle (e.g. an electron) moving along X-axis with constant velocity v, i. At x = 0, it enters into a region where a uniform constant electric field E exists along Y-axis, i.e. for x > 0Ey jEx = Ez = 0. This electric field applies a forceq E along the Y-axis, i.e. for x > 0E = Ey jEx = Ez = 0. This electric field applies a force q E along the Y-axis, while particle continues to move along X-axis with constant initial velocity vx i. Such a case is realized in laboratory by passing a beam of electrons between the plates of a parallel plate capacitor, as in cathode ray tube (CRT).


The electric field applies a constant force, qEy, on the particle along Y-axis. Hence,

1850_download.png 

which gives vy = ay ty = ½ ay r2                       (ii)

where ay = qEy/m ; y and vy at t = 0 are zero. In the same time t, particle moves a distance x along x along X-axis with constant initial velocity vx i, so that

x = vx t                                                              (iii)

Eliminating t, we find the trajectory of the particle:

2385_download (1).png 

which is equation of a parabola. This is analogous to parabolic motion of a projectile which moves horizontally with constant a velocity and vertically under constant acceleration g.

If the particle remains in the remains in the field only between x = 0 to x = l (e.g. l may be length of capacitor plates in CRT), then the deflection of particle along Y-axis, as it comes out at x = l, is

1226_download (2).png 

At x = l, particle velocity v is given by

1952_download (3).png 

which makes an angle θ with the X-axis, where

192_download (4).png 

50_download (5).png 

Since the displacement on screen is proportional to electric field, the position of the beam on screen tells about the value of (an unknown) electric field (or potential) which may be applied across the capacitor plates. 

Posted Date: 9/18/2012 1:18:20 AM | Location : United States







Related Discussions:- Transverse electric field, Assignment Help, Ask Question on Transverse electric field, Get Answer, Expert's Help, Transverse electric field Discussions

Write discussion on Transverse electric field
Your posts are moderated
Related Questions
discuss the main components of computer aided manufacturing

in a closed cycle steam enters the turbine at a temperature of 400oc and a pressure of 4000kpa and is condensed at 10kpa

what is the maximum principle stress

how to calculate flow rate of liquid nitrogen? melting point(-210deg) boiling point(-195.8deg) critical temp(-149.9deg) relative density(0.8) specific gravity(808.5kg/m^3) rel

Q. Show the Limitations of Rigid bed models? Due to vertical exaggeration, model slope automatically becomes steeper than in the prototype, this slope exaggeration being the sa

Used Engine Oil: Used engine oil may cause skin disease if repeatedly in contact with the skin for prolonged time. It is advisable to thoroughly wash the hands with soap and water

What is STEP The STEP (Standard for External Representation of Product Data) project is supported by the ISO workgroup TC 184/SC4. it is also sometimes called Standard for Exch

Q. Mechanical design of the blowdown systems? Mechanical design of the blowdown systems shall be sized for a continuous blowdown of a minimum of 1.0% of MCR. Fabricator may re

Specification s of Hardness Testing Machines and Indentors: The Brinel cum Rockwell Tester has specifications which are stated below: Ability to determine the hardness up t

Working of Engine Lubrication System: The oil flows from oil pump into the distribution chamber, where it is divided into two parts. One part enters into the right crankcase cove