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$\bullet$$\bullet$ An electron is projected with an ini-tial speed $v_{0}=5.00 \times 10^{6} \mathrm{m} / \mathrm{s}$ intothe uniform field between the parallelplates in Figure $17.57 .$ The direction ofthe field is vertically downward, andthe field is zero except in the spacebetween the two plates. The electronenters the field at a point midway Problem 70 .between the plates. If the electron just misses the upper plate as itemerges from the field, find the magnitude of the electric field.

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$E=-3553.518 N / C$

Physics 102 Electricity and Magnetism

Chapter 17

Electric Charge and Electric Field

Gauss's Law

Electric Potential

Rutgers, The State University of New Jersey

Simon Fraser University

Hope College

Lectures

13:02

In physics, potential energy is the energy possessed by a body or a system due to its position relative to others, stresses within itself, electric charge, and other factors. The unit for energy in the International System of Units (SI) is the joule (J). One joule is the energy expended (or work done) in applying a force of one newton through a distance of one metre (1 newton metre). The term potential energy was introduced by the 19th century Scottish engineer and physicist William Rankine, although it has links to Greek philosopher Aristotle's concepts of potentiality. Potential energy is associated with forces that act on a body in a way that the work done by these forces on the body depends only on the initial and final positions of the body, and not on the specific path between them. These forces, that are called potential forces, can be represented at every point in space by vectors expressed as gradients of a scalar function called potential. Potential energy is the energy of an object. It is the energy by virtue of a position relative to other objects. Potential energy is associated with restoring forces such as a spring or the force of gravity. The action of stretching the spring or lifting the mass is performed by a force that works against the force field of the potential. This work is stored in the field, which is said to be stored as potential energy.

18:38

In physics, electric flux is a measure of the quantity of electric charge passing through a surface. It is used in the study of electromagnetic radiation. The SI unit of electric flux is the weber (symbol: Wb). The electric flux through a surface is calculated by dividing the electric charge passing through the surface by the area of the surface, and multiplying by the permittivity of free space (the permittivity of vacuum is used in the case of a vacuum). The electric flux through a closed surface is zero, by Gauss's law.

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An electron is projected w…

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04:11

An electric field of magni…

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The drawing shows an elect…

07:40

In Fig. $22-68,$ a uniform…

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17:38

An electron is fired at a …

Since there's no acceleration in the extraction, we can use a simple cammack equation to determine the time it takes to traverse the plates. And so we know that the time would be equal to the distance travel over the Flossie that the particles moving at the time since there's no acceleration, this velocity is not gonna be changing and sorry for my messy handwriting. That's supposed to be an X in the numerator. Now we know the distance traveled in the extraction is just a link to the plate. And so it's 0.2 meters and the initial velocity is given as five times 10 to the six meters per second. No. Yeah, and so the time ends up being for times 10 to the minus seconds. Now we can figure out what the acceleration is. Using another chemical equation. This time, we're going to do the wind direction. And so we have a connect equation that why my swine on is equal to be not why Times t plus 1/2 times a solution. Why Direction, Times, Times Square And the initial velocity of the wind direction is equal to zero. So this term goes away. The distance we need to travel on. The wind direction is half a centimeter and so this is 0.0 05 meters and then the time we just found out to be this so we can solve for the Suresh in the white direction. And when we do this, we get 6.25 times 10 two, fourteen 14 years per second squared and this is upward upwards in the picture. That's where it's moving now, My Newton's second law. We know that the force of the wind direction has speak without the master's acceleration in my direction. And we also know that the electric field, the wind direction is equal to the force of the wind direction over E. The reason of this negative here is because an electron is moving. And so the native comes from the charge here looking in the force is equal to mass times acceleration. I get negative mass times acceleration, ally over the charge of the electron, and then I can plug everything and we know the mass of the electron. We know the charge of the electron and we just calculate the acceleration and so in calculate the field to be negative 3.56 times 10 Cute Name's per column. The question on Lee asked for the magnitude So you would do is you would just remove the negative, and that would be the magnitude only that that completes the problem.

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