Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 20: Q1Q (page 851)

Suppose that a proton has a component of velocity parallel to the magnetic field as well as perpendicular to it (Figure 20.80). What is the effect of the magnetic field on this parallel component of the velocity? What will the trajectory of the proton look like?

Short Answer

Expert verified

The parallel component of velocity will be unaffected by the magnetic field. The proton will follow a spiral path upwards around the magnetic field.

Step by step solution

01

Given data

A proton has a component of velocity parallel to the magnetic field as well as perpendicular to it.

02

Magnetic force

Magnetic force on a moving charge is directly proportional to the cross product of the velocity vector and the magnetic field.

03

Determination of the magnetic effect on the parallel component of the velocity and the net trajectory of the photon

Since the cross products of two parallel vectors is zero, the parallel component of the velocity of the proton along the magnetic field is unaffected by it. The perpendicular component faces the magnetic force and traces a circle around the magnetic field direction. Thus, the proton follows a spiral path with the parallel component moving up and the perpendicular component tracing a circle.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Explain briefly why there is a limit to how much charge can be placed on a metal sphere in the classroom. If the radius of the sphere is 15 cm what is the maximum amount of charge you can place on the sphere? (Remember that a uniform sphere of charge makes an electric field outside the sphere as though all the charge were concentrated at the center of the sphere.)

A neutral iron bar is dragged to the left at speed v through a region with a magnetic field B points out of the page (Figure 20.122). Which diagram (1-5) best shows the state of the bar?

In Figure 20.116 a battery with known emf=K is connected to two large parallel metal plates. Each plate has a length L and width W, and the plates are a very short distance apart. The plates are surrounded by a vertical thin circular coil of radius R containing N turns through which runs a steady conventional current I. The center of the coil is at the center of the gap between the plates. At a certain instant, a proton (charge +e, mass M) travels through the center of the coil to the right with speed v, and the net force on the proton at this instant is zero (neglecting the very weak gravitational force). What are the magnitude and direction of conventional current in the coil? Explain clearly.

We will consider the possibility that a free electron actedon by an electric field could gain enough energy to ionize anair molecule in a collision. (a) Consider an electron that startsfrom rest in a region where there is an electric field (due to somecharged objects nearby) whose magnitude is nearly constant. Ifthe electron travels a distance dand the magnitude of the electric field is E,what isthe potential difference through which the electron travels? (Pay attention to signs: Is the electron traveling with the electric field or opposite to the electric field?) (b) What is the change in potential energy of the system in this process? (c) What is the change in the kinetic energy of the electron in this process? (d) We found the mean free path of an electron in air to be about 5×10-7 m, and in the previous question you calculated the energy required to knock an electron out of an atom. What is the magnitude of the electric field that would be required in order for an electron to gain sufficient kinetic energy to ionize a nitrogen molecule? (e) The electric field required to cause a spark in air is observed to be about 3×106 V/m at STP. What is the ratio of the magnitude of the field you calculated in the previous part to the observed value at STP? (f) What is it reasonable to conclude about this model of how air becomes ionized? (1) Since we used accurate numbers, this is a huge discrepancy, and the model is wrong. (2) Considering the approximations we made, this is pretty good agreement, and the model may be correct.

A bar magnet whose magnetic dipole moment is 15 A.m2is aligned with an applied magnetic field of 4 T. How much work must you do to rotate the bar magnet 180°to point in the direction opposite to the magnetic field?
See all solutions

Recommended explanations on Physics Textbooks

Electromagnetism

Read Explanation

Linear Momentum

Read Explanation

Electricity and Magnetism

Read Explanation

Modern Physics

Read Explanation

Measurements

Read Explanation

Physical Quantities And Units

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free