Explanation 1) Concept: We use the concept of conservation of mechanical energy and magnetic and centripetal force . We can rearrange the energy conservation equation for velocity. Also from the centripetal force and magnetic force equation, we can write the equation for velocity. Equating these two velocities’ equations and plugging the value of slope from the graph r V 1 2 , we can find the magnetic field. 2) Formulae: i) P . E i + K . E i = P . E f + K . E f ii) F B = q v B iii) F c p = m v 2 r 3) Given: i) Scale on y axis is r s = 3.0 m m ii) Scale on x axis is V s 1 2 = 40.0 V 1 2 iii) Figure 28-38 is the graph of radius vs. potential. 4) Calculations: P . E i + K . E i = P . E f + K . E f Here potential energy is the electrical potential energy. We can write q V i + 1 2 m v i 2 = q V f + 1 2 m v f 2 Initially kinetic energy is zero, and finally potential energy is zero. We can write q V i = 1 2 m v f 2 Rearranging it for velocity, we get v f = 2 q V i m … … … … … . . ( 1 ) The magnetic force provides the centripetal force, so we can write F c p = F B m v f 2 r = q v f B Rearranging for velocity, we get v f = q B r m … … … … ( 2 ) From equation (1) and (2), we can write q B r m = 2 q V i m 1 2 q B m r V i 1 2 = 2 q m 1 2 We can find the slope r V i 1 2 from the graph

10th Edition

ISBN: 9781118230725

Author: David Halliday, Robert Resnick, Jearl Walker

Publisher: Wiley, John & Sons, Incorporated

See similar textbooks

Concept explainers

Magnetic Force

A magnetic force arises when a charged particle or a current-carrying conductor is placed in a magnetic field. It is created because of the movement of the charged particles.

Question

Chapter 28, Problem 20P

To determine

To find:

Magnitude of magnetic field.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 28, Problem 19P

Chapter 28, Problem 21P

Students have asked these similar questions

suggest a reason ultrasound cleaning is better than cleaning by hand?

Checkpoint 4 The figure shows four orientations of an electric di- pole in an external electric field. Rank the orienta- tions according to (a) the magnitude of the torque on the dipole and (b) the potential energy of the di- pole, greatest first. (1) (2) E (4)

What is integrated science. What is fractional distillation What is simple distillation

Chapter 28 Solutions

Fundamentals of Physics Extended

Ch. 28 - Prob. 1Q Ch. 28 - Prob. 2Q Ch. 28 - Prob. 3Q Ch. 28 - Prob. 4Q Ch. 28 - In Module 28-2, we discussed a charged particle...Ch. 28 - Figure 28-26 shows crossed uniform electic and...Ch. 28 - Figure 28-27 shows the path of an electron that...Ch. 28 - Figure 28-28 shows the path of an electron in a...Ch. 28 - a In Checkpoint 5, if the dipole moment is rotated...Ch. 28 - Particle round about. Figure 28-29 shows 11 paths...

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Magnitude of magnetic field.

Solution Summary: The author explains the concept of conservation of mechanical energy and magnetic and centripetal force. Equating these two velocities’ equations and plugging the value of slope from the graph, they can find the magnetic field.

Concept explainers

To find: Magnitude of magnetic field.

Want to see the full answer?

Chapter 28 Solutions

To find:

Magnitude of magnetic field.