For a particle of mass m and charge q moving in a circular path in a magnetic

Question:

For a particle of mass m and charge q moving in a circular path in a magnetic field B,

(a) Show that its kinetic energy is proportional to r2, the square of the radius of curvature of its path.

(b) Show that its angular momentum is L = qBR2, around the center of the circle.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Physics Principles with Applications

ISBN: 978-0321762429

7th edition

Authors: Douglas C. Giancoli

See More Books

Question Posted: Oct 05, 2017 08:32 AM

See More Questions

A particle of mass m and charge q moves at high speed along the x axis. It is initially near x = -7, and it ends up near x = 7. A second charge Q is fixed at the point x = 0, y = -d. As the moving...
A particle of mass m and charge q movies in a circular path in a magnetic field B. show that its kinetic energy is proportional to r2 , the square of the radius curvature of its path.
A particle of mass m and charge q is attached to a spring with force constant k, hanging from the ceiling (Fig. 11.19). Its equilibrium position is a distance h above the floor. It is pulled down a...
Stems of the first land plants functioned primarily as transport and support structures. Modern stems have these functions also, plus several more. Describe the additional functions.
An experiment was conducted to compare three types of paint to determine if there is evidence of differences in their wearing qualities. They were exposed to abrasive action and the time in hours was...
Using Information Technologies at Federal Express Federal Express (FedEX), founded in 1971, handles an average of 3 million package-tracking requests every day. To stay ahead in a highly competitive...
Describe various forms of child abuse, how to recognize it, and reporting requirements.
Bill and Ellen are husband and wife with five married children and eight grandchildren. Commencing in December 2014, they would like to transfer a tract of land (worth $1,008,000) equally to their...
4. COVID-19 affects different people in different ways. Most infected people will develop mild to moderate illness and recover without hospitalization. There are some common symptoms. Based on these...
During July, 1996 monthly inflow to Tarbela Reservoir was 20 billion cubic meters and outflow was 18.70 billion cubic meters. Find the rate of change of storage and change in storage during the...
A helium ion (Q = +2e) whose mass is 6.6 10-27 kg is accelerated by a voltage of 3700 V. (a) What is its speed? (b) What will be its radius of curvature if it moves in a plane perpendicular to a...
A 1.5-MeV (kinetic energy) proton enters a 0.30-T field, in a plane perpendicular to the field. What is the radius of its path?
Solve Prob. 731 if the supports at A and B are fixed instead of pinned. Draw (approximately) the moment diagram for column ACD of the portal. Assume all truss members and the columns to be pin...
After graduating from college with a degree in marketing, your first job was working in the marketing department for a fast-food chain located in the southwestern part of the United States. After...
Why should businesses introduce new products?
For some companies, onboarding and orientation are synonymous. How are they different?
Graeters still makes ice cream by hand, just like the founders did in 1870. But in every other respect, its a very different business from the mom-and-pop firm founded by the great-grandparents of...
When the U.S. dollar is strong relative to other nations currencies, what is the effect on imports and exports?
A. J. Smith Company started business on January 1, 2020, and the following transactions occurred in its first year: 1. On January 1, the company issued 12,000 common shares at $25 per share. 2. On...
$10,000 was borrowed at 3.5% on July 17. The borrower repaid $5000 on August 12, and $2000 on September 18. What final payment is required on November 12 to fully repay the loan?
You want to nail a 1.6-kg board onto the wall of a barn. To position the board before nailing, you push it against the wall with a horizontal force F(vector) to keep it from sliding to the ground...
To immobilize a fractured femur (the thigh bone), doctors often utilize the Russell traction system illustrated in FIGURE 6-51. Notice that one force is applied directly to the knee, F(vector) 1 ,...
In Example 6-13 (Connected Blocks), suppose m1 and m2 are both increased by a factor of 2. (a) Does the acceleration of the blocks increase, decrease, or stay the same? (b) Does the tension in the...
6. Consider the following algorithm. Give a function with one term and coefficient 1 g(n) such that the running time of this algorithm is (g(n)), and briefly explain. public static int funkySum...
In the diagram, let U = {all objects}, B = {all students who live in Hartford}, = {students majoring in math}, and R = {students taking a course with Professor Antonio} B M 1 2 3 5 + 6 7 8 R In which...
Risk Identification: Disruption Disruption Assessment: Assessment: Risk Risk Probability Risk 1: Cyberwarfare 1 Consequence 5 Risk 2: Natural 1 5 Diaster Risk 3: Supplier 2 2 closure Risk 4:...

For a particle of mass m and charge q moving in a circular path in a magnetic

Question:

Step by Step Answer:

a From Example 206 we have so The kinetic ener...View the full answer

Physics Principles with Applications

Students also viewed these Thermodynamics questions