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$\bullet$$\bullet$ An electron is released from rest in a uniform electric field.The electron accelerates vertically upward, traveling 4.50 $\mathrm{m}$ inthe first 3.00$\mu$ s after it is released. (a) What are the magnitudeand direction of the electric field? (b) Are we justified in ignor-ing the effects of gravity? Justify your answer quantitatively.

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5.69 $\mathrm{N} / \mathrm{C}$ , downyes. click for justification

Physics 102 Electricity and Magnetism

Chapter 17

Electric Charge and Electric Field

Gauss's Law

Electric Potential

Cornell University

Rutgers, The State University of New Jersey

University of Washington

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 released fr…

02:50

02:51

CP An electron is released…

01:45

Problem 4An electron i…

09:51

An electron is projected a…

02:58

An electron, released in a…

04:56

An electron moves through …

05:00

(II) An electron moving to…

01:39

In a certain area, the ele…

04:20

02:55

let's use Kitimat equations to sell for the acceleration that the election must be experiencing. We know the initial velocity is equal to zero, and we know that we can use the connect equation. Why mice Wine on is equal to be not testy. Plus 1/2 80 squared. Since being on a zero this term goes away and we can solve for a to give us A is equal to two times while I'm on this one on over T Square. Now, throughout this problem, I'm letting Plus, why the upward like that. And we have to remember that we're dealing with an electron, so Q is equal to the negative. But plug me in these numbers that they give us in the problem for the time in the distance travel we get that acceleration must be on planes 00 times, 10 to the 12th. Now, this is an enormous acceleration compared to gravity. If you're called, gravity is 9.8 and that's it. So this is way, way larger, right? 10 to the 12th. It's huge, and so, given this acceleration, let's find the electric field. So we know that the electric field is equal to the force over the charge, and this really comes from from this, I'm just stalling for the electric field and the forces. You got a master's acceleration by noon, second, long and so we can plug in the mass of the electron acceleration, which was found here, and the charge of the electron, which is here. And when we do that, we get an electric field of 5.69 name's Burt Coolum, and that's the answer to part A. Since the forces upward the electric field must be down worth. And the reason is that Q is negative, so f any point in opposite directions. And so for part two, you're gassed. Toe analyzes the difference in magnitude between gravity and this acceleration here, and we're supposed to ask ourselves if gravity is inevitable in this problem. And just like looking at these two numbers here, we'll go in unison. The gravity is way, way less than this acceleration, And so for this problem, we can totally neglect gravity, and it would be almost correct. It would be off by just a hair just ever so slightly, but it is so slight that we can just ignore it. Gravity is negligible

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