Two horizontal plates of opposite charge form a constant electric field = 1000 N/C directed vertically downwards. An electron of mass me and charge e* is fired horizontally with velocity v = 0.1c, where c = 3.00 x 108 m/s between the plates. Calculate the electron's acceleration. If the plates have length 1 m, find the electron's deflection from the horizontal when it emerges.

Two horizontal plates of opposite charge form a constant electric field = 1000 N/C directed vertically downwards. An electron of mass me and charge e* is fired horizontally with velocity v = 0.1c, where c = 3.00 x 108 m/s between the plates. Calculate the electron's acceleration. If the plates have length 1 m, find the electron's deflection from the horizontal when it emerges.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter19: Electric Forces And Electric Fields

Section: Chapter Questions

Problem 31P

See similar textbooks

Similar questions

A particle with charge q on the negative x axis and a second particle with charge 2q on the positive x axis are each a distance d from the origin. Where should a third particle with charge 3q be placed so that the magnitude of the electric field at the origin is zero?
An electron and a proton, each starting from rest, are accelerated by the same uniform electric field of 200 N/C. Determine the distance and time for each particle to acquire a kinetic energy of 3.21016 J.
What is the magnitude of the electric field due to a charged particle at its exact location (r = 0)?
If more electric field lines leave a gaussian surface than enter it, what can you conclude about the net charge enclosed by that surface?
A charged particle moves along a straight line in a uniform electric field E with a speed v. If the motion and the electric field are both in the x direction, (a) show that the magnitude of the acceleration of the charge q is given by a=dvdt=qEm(1v2c2)3/2 (b) Discuss the significance of the dependence of the acceleration on the speed. (c) If the particle starts from rest at x = 0 at t = 0, find the speed of the particle and its position after a time t has elapsed. Comment on the limiting values of v and x as t .
A uniformly charged ring of radius R = 25.0 cm carrying a total charge of 15.0 C is placed at the origin and oriented in the yz plane (Fig. P24.54). A 2.00-g particle with charge q = 1.25 C, initially at the origin, is nudged a small distance x along the x axis and released from rest. The particle is confined to move only in the x direction. a. Show that the particle executes simple harmonic motion about the origin. b. What is the frequency of oscillation for the particle? Figure P24.54
A proton is projected in the positive x direction into a region of a uniform electric field E = (6.00 105)iN/C at t = 0. The proton travels 7.00 cm as it comes to rest. Determine (a) the acceleration of the proton. (b) its initial speed, and (c) the time interval over which the proton comes to rest.
From a distance of 10 cm, a proton is projected with a speed of v=4.0106 m/s directly at a large, positively charged plate whose charge density is =2.0105 C/m2. (See below.) (a) Does the proton reach the plate? (b) If not, how far from the plate does it turn around?
A proton is fired from very far away directly at a fixed particle with charge q = 1.28 1018 C. If the initial speed of the proton is 2.4 105 m/s, what is its distance of closest approach to the fixed particle? The mass of a proton is 1.67 1027 kg.
An electron, inside an electric field region between two parallel plates as shown below, is projected upward at a speed of v0 = 5.83 x10^6 m/s and at an angle of θ = 39.0°; E = 1870 N/C (directed upward), d = 1.97 cm, and L = 6.20 cm. Will the electron strike one of the two plates? If yes, which plate will it stike and at what distance from the left edge?
The electric field is zero everywhere except in the region 0≤x≤4.00 cm, where there is a uniform electric field of 110 N/C in the +y direction. A proton is moving in the +x direction with a speed of v = 1.00×10^6 m/s. When the proton passes through the region 0≤x≤4.00 cm, the electric field exerts a force on it. 1)When the x coordinate of the proton’s position is 4.00 cm, what is the x component of its velocity? (Express your answer to three significant figures.) 2)When the x coordinate of the proton’s position is 4.00 cm, what is the y component of its velocity?(Express your answer to three significant figures.) 3)When the x coordinate of its position equals 10.0 cm, what is the y component of its velocity? (Express your answer to three significant figures.)
An electron is initially moving horizontally at v0 = 3x10-6 m/s when it enters a uniform electric field of 5.6 N/C directed virtually down. What are the horizontal and vertical components of its velocity 2 μs after entering the electric field?