BuyFindarrow_forward

College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

Solutions

Chapter
Section
BuyFindarrow_forward

College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

An electron moves in a circular path perpendicular to a constant magnetic field of magnitude 1.00 mT. The angular momentum of the electron about the center of the circle is 4.00 × 10−25 kg · m2/s. Determine (a) the radius of the circular path and (b) the speed of the electron.

a)

To determine
The radius of the circular path of the electron.

Explanation

Given info: The magnitude of the constant magnetic field is 1.00mT . The angular momentum of the electron about the center of the circle is 4.00×1025kgm2s-1 .

Explanation:

The angular momentum of the electron is,

L=mvr       (1)

  • m is the mass of the electron
  • v is the velocity of the electron
  • r is the radius of the circular path of the electron

Since the magnetic field supplies the centripetal acceleration,

qvB=mv2r

  • B is the magnetic field present
  • v is the velocity
  • q is the charge of the particle
  • r is the radius of the circular path
  • m is the mass of the particle

Re-arranging,

mv=Brq       (2)

Combining (1) and (2),

L=Bqr2

The radius of the path will be,

r=LBq

Substitute 1.00mT for B , 4.00×1025kgm2s-1 for L , 1

b)

To determine
The speed of the electron.

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Additional Science Solutions

Find more solutions based on key concepts

Show solutions add

How might nutritional genomics influence health care in the future?

Understanding Nutrition (MindTap Course List)

A drinker may delay intoxication somewhat by eating plenty of snacks. quickly finishing drinks. drinking on an ...

Nutrition: Concepts and Controversies - Standalone book (MindTap Course List)

Photosynthesis runs on the energy of ___________. a. light b. hydrogen ions c. O2 d. CO2

Biology: The Unity and Diversity of Life (MindTap Course List)

Speed is a(n) ___ quantity. (2.2)

An Introduction to Physical Science

Why can’t a white dwarf contract as it cools? What is its fate?

Horizons: Exploring the Universe (MindTap Course List)

How many autosomes are present in a body cell of a human being? In a gamete?

Human Heredity: Principles and Issues (MindTap Course List)