The charge to mass ratio of the electron was first measured by J. J. Thompson in 1897. This is oftenreferred to as THE discovery of the electron. Thompson used a combination of electric and magneticfields in his experiment. We will defer the magnetic part of the experiment to later in the course,and examine the electric part now. The device he used sent a beam of electrons between two plates,as shown below, between two plates. The initial velocity, vo of the beam was horizontally to theright. Thompson then measured the deflection, y, of the beam from where it exited the plates withthe electric field turned off. Thompson also used a magentic field, which allowed him to determinethe initial velocity. For now, lets find an expression for the charge to mass ratio in terms of thisvelocity and the other parameters.yEPlatePlatem₂ Qx = L(a) Assume that the weight of the electron can be neglected, so that the only force in play is theelectric force. Derive an expression (in terms of the given variables E, L, y, and vo) for thisratio of the electron charge to its mass, m/Q showing and explaining all your steps. Hint: thisis very similar to a kinematics/free fall problem, two dimensional motion under the influenceof a constant force, with the constant acceleration a determined by the electric force instead ofgravity. Additional hints are provided in the homework guide at the end of this document.(b) Look up the charge and mass of the electron and design an experiment (choose values for E,L, and vo that give a reasonable deflection y.) We do want to make sure the electric force ismuch larger than the gravitational force on the electron. Note that electron velocities can bevery close to the speed of light, since the electron mass is so very small.

Given:length of the plates, Ldeflection of beam during exit, yinitial velocity of the electrons, vo…

The charge to mass ratio of the electron was first measured by J. J. Thompson in 1897. This is often referred to as THE discovery of the electron. Thompson used a combination of electric and magnetic fields in his experiment. We will defer the magnetic part of the experiment to later in the course, and examine the electric part now. The device he used sent a beam of electrons between two plates, as shown below, between two plates. The initial velocity, vo of the beam was horizontally to the right. Thompson then measured the deflection, y, of the beam from where it exited the plates with the electric field turned off. Thompson also used a magentic field, which allowed him to determine the initial velocity. For now, lets find an expression for the charge to mass ratio in terms of this velocity and the other parameters.

The charge to mass ratio of the electron was first measured by J. J. Thompson in 1897. This is often referred to as THE discovery of the electron. Thompson used a combination of electric and magnetic fields in his experiment. We will defer the magnetic part of the experiment to later in the course, and examine the electric part now. The device he used sent a beam of electrons between two plates, as shown below, between two plates. The initial velocity, vo of the beam was horizontally to the right. Thompson then measured the deflection, y, of the beam from where it exited the plates with the electric field turned off. Thompson also used a magentic field, which allowed him to determine the initial velocity. For now, lets find an expression for the charge to mass ratio in terms of this velocity and the other parameters.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

2. 7. You are given a 2uF parallel plate capacitor. How would you establish an instantaneous displacement current of 1mA in the space between of 1mA in the space betw its plate ? A
The velocity olistribution is Ve 2xî - ayj + (3t-bz k). Is it steady? Find the eg. of the stream lines through the pt. (1,1,3) at t=o,1.
Please answer 2B and show all work
please show work for question number 12
Scanned with CamScanner In a velocity selector, when an electric field of strength E and a magnetic field of strength B were used,particles with energy K and mass M were selected. With the same field E, if we want to select particles with energy 3K and mass M, then the magnetic field used is: Select one: 0.71 B 1.4 B noliill 0.58 B 3.0 B roglel äs 1.73 B Scanned with CamScanner
A positive charge of mass, 6.68 x 10-27 kg, passes through a velocity selector in a horizontal path as shown in the diagram below. The radius of the semicircular path of the positive charge, after it emerges through the slit on the right end of the velocity selector, is 6.96 cm. If the electric and magnetic fields have magnitudes of E = 500 N/C and B1 = B2 = 0.0100 T, what is the value of the positive charge? a. 3.20 x 10-19 C b. 1.20 x 10-19 C c. 1.60 x 10-19 C d. 6.40 x 10-19 C e. 4.80 x 10-19 C
A high school student visits the local electronics store to purchase supplies for her science project. The student finds what she needs and stacks her planned purchases on the check-out counter. Her stack of purchases consists of a 400 gram robotics kit, a 300 gram multi-meter, and a 200 gram soldering tool, as shown in the figure below. The entire system is at rest - and remains at rest. SOLDERING TOOL 200 grams MULTI-METER 300 grams ROBOTICS KIT 400 grams Check-out Counter 15. The soldering tool has a weight of A. 1960 N. В. 200 N. С. 2.00 N. D. 200 kg. E. 1.96 N. 16. The multi-meter pushes down on the robotics kit with a force having magnitude A. 2.94 N. B. 2940 N. С. 29.4 N. D. 4.90 N. E. 500 kg. 17. The robotics kit pushes down on the check-out counter with a force having magnitude A. 8.82 N. B. 400 N. C. 3.92 N. D. 900 kg. E. 8820 N.
A (1.34x10^0)-m radius cylindrical region contains a uniform electric field along the cylinder axis. It is increasing uniformly with time. What is the rate of change (magnitude) of the electric field required to obtain a total displacement current of (3.548x10^0) nA through a cross section of the region? Provide your answer in V/(m.s) with three significant figures. Note: Your answer is assumed to be reduced to the highest power possible. Your Answer: x10 Answer Hide hint for Question 5 What is the displacement current and how it relates to the rate of change of the electric flux?
Describe and give the theory of, a mass spectrometer for measuring the charge/mass ratio e/M of positive ions.
Please answer questions d and e only. Thanks!