### Educational Problem: Electron Beam in Electric and Magnetic Fields**Problem Statement:**An electron beam is directed horizontally into a region where there is both an electric field and a magnetic field. The electric field points upward and has a magnitude \( E = 9.4 \, \text{N/C} \), as shown in the accompanying diagram. While moving through the region, the electron beam continues in a horizontal straight line with a speed of \( 210 \, \text{m/s} \).#### Diagram Explanation:The diagram shows:- The electric field \(\vec{E}\) represented by upward arrows.- An electron beam moving horizontally from left to right.---#### (a) In which direction does the electric force act on the electrons?**Answer:** *Downward.* ✔ Correct!#### (b) In order to keep the electrons in a straight line, in which direction should the magnetic force on the electrons act?**Answer:***Upward.* ✔ Correct!#### (c) What should be the direction of the magnetic field be in order to produce the force described in part (b)?**Answer:***Into the screen.* ✔ Correct!---### Further Calculations:#### (d) Calculate the numerical value of the magnitude of the electric force in newtons.The formula for the electric force \( F_{E} \) is:\[ F_{E} = qE \]where:- \( q \) is the charge of an electron (\( q = -1.6 \times 10^{-19} \, \text{C} \)).- \( E \) is the magnitude of the electric field (\( 9.4 \, \text{N/C} \)).#### (e) Calculate the magnitude of the magnetic field in tesla, if the electron continues in a horizontal straight line.The formula for the magnetic force \( F_{B} \) is:\[ F_{B} = qvB \]where:- \( v \) is the velocity of the electron (\( 210 \, \text{m/s} \)).- \( B \) is the magnitude of the magnetic field.Since the forces are balanced (i.e., \( F_{E} = F_{B} \)):\[ qE = qvB \]Solving for \( B \):\[ B = \frac{E}{v} \]**Note

Answered: Image /qna-images/answer/870c0f5f-ad27-4f36-95a8-63d3dd1f207d.jpg

A 20% Part (d) Calculate the numerical value of the magnitude of the electric force in newtons. ▷ A 20% Part (e) Calculate the magnitude of the magnetic field in tesla, if the electron continues in a horizontal straight line. B = T

A 20% Part (d) Calculate the numerical value of the magnitude of the electric force in newtons. ▷ A 20% Part (e) Calculate the magnitude of the magnetic field in tesla, if the electron continues in a horizontal straight line. B = T

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)...

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