/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 31 聽A proton is fired with a speed... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 31: Q. 31 (page 902)

A proton is fired with a speed of 1.0脳106m/sthrough the parallel-plate capacitor shown in FIGURE P31.31. The capacitor's electric field is role="math" localid="1648984502437" E鈫�=1.0脳105V/m,down).

a. What magnetic field B鈫�, both strength and direction, must be applied to allow the proton to pass through the capacitor with no change in speed or direction?

b. Find the electric and magnetic fields in the proton's reference frame.

c. How does an experimenter in the proton's frame explain that the proton experiences no force as the charged plates fly by?

Short Answer

Expert verified

a. Magnetic field is 0.1T.

b. For magnetic field FB=1.6脳10-14N,electric field FE=1.6脳10-14N.

c. Current and emf will be identical.

Step by step solution

01

Calculation for magnetic field (part a)

a.

As its stands,

v=1脳106m/s

localid="1648984114495" E鈫�=1脳105V/m鈫�down)

We get the direction of Binto the page by utilizing the right hand rule.

We can deduceB from the following relationship:

Fe=FB

qE=qvB

B=Ev

B=105V/m106m/s

=0.1T

02

Electric and magnetic fields in frame (part b)

(b).

For magnetic field,

FB=qvB

FB=1.6脳10-19脳106脳0.1

localid="1648985758469" FB=1.6脳10-14N

For electric field,

FE=qE

FE=1.6脳10-19脳105

FE=1.6脳10-14N

03

Explanation (part c)

(c).

Figure is,

The parallel plate capacitor is a type of capacitor that uses parallel plates to store electricity.

The electrostatic force travels downhill in the direction of the electric field.

As a result, magnetic force travels upward, without deflection or direction, to propel the proton.

As a result, the emf and current will be the same.

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.

Over 30 million students worldwide already upgrade their learning with 91影视!

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

A helium-neon laser emits a 1.0-mm-diameter laser beam with a power of 1.0mW. What are the amplitudes of the electric and magnetic fields of the light wave?

What is the magnetic field amplitude of an electromagnetic wave whose electric field amplitude is 10V/m ?

In FIGURE P31.33, a circular loop of radius rtravels with speed valong a charged wire having linear charge density I. The wire is at rest in the laboratory frame, and it passes through the center of the loop.

a. What are E鈫�and B鈫�at a point on the loop as measured by a scientist in the laboratory? Include both strength and direction.

b. What are the fields E鈫�and B鈫�at a point on the loop as measured by a scientist in the frame of the loop?

c. Show that an experimenter in the loop鈥檚 frame sees a currentI=位谓passing through the center of the loop.

d. What electric and magnetic fields would an experimenter in the loop鈥檚 frame calculate at distance r from the current of part c?

e. Show that your fields of parts b and d are the same.

The intensity of an electromagnetic wave is 10W/m2. What will the intensity be if:

a. The amplitude of the electric field is doubled?

b. The amplitude of the magnetic field is doubled?

c. The amplitudes of both the electric and the magnetic fields are doubled?

d. The frequency is doubled?

A rocket zooms past the earth at v=2.0脳106m/s. Scientists on the rocket have created the electric and mag-netic fields shown in FIGURE EX31.5. What are the fields measured by an earthbound scientist?
See all solutions

Recommended explanations on Physics Textbooks

Dynamics

Read Explanation

Astrophysics

Read Explanation

Wave Optics

Read Explanation

Thermodynamics

Read Explanation

Physics of Motion

Read Explanation

Electric Charge Field and Potential

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.