Essential University Physics (3rd Edition)
Essential University Physics (3rd Edition)
3rd Edition
ISBN: 9780134202709
Author: Richard Wolfson
Publisher: PEARSON
bartleby

Videos

Textbook Question
Book Icon
Chapter 27, Problem 50P

The magnetic field inside a solenoid of circular cross section is given by B = bt k ^ , where b = 2.1 T/ms. At time t = 0.40 μs, a proton is inside the solenoid at x = 5.0 cm, y = z = 0, and is moving with velocity v = 4.8ĵ Mm/s. Find the electromagnetic force on the proton.

50. Interpret The problem involves a changing magnetic field that induces an electric field. Both fields exert a force on a proton.

Develop The induced electric field inside a long thin cylindrical solenoid, whose magnetic field is increasing with time as B = bt k ^ . (take k ^ into the page as in Fig. 27.30). can be found by modifying the argument in Example 27.11 for radius r < R. The magnitude of E is

E = | 1 2 r d B d t | = r b 2

The induced electric field circulates CCW around the direction of B or E = −(bx/2) ĵ for the given point on the x axis (x = 5 cm, y = z = 0) inside the solenoid (whose axis we assume is the z axis). At t = 0.4 μs, the uniform magnetic field is B = b(0.4 μs) k ^ . The electromagnetic force on a proton with the given velocity is F = e( E + v × B ).

Evaluate Substituting the values given, we find the net force on the proton to be

Blurred answer
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 27 Solutions

Essential University Physics (3rd Edition)

Ch. 27 - Chapter 26 stated that a static magnetic field...Ch. 27 - Can an induced electric field exist in the absence...Ch. 27 - A car battery has a 12-V emf, yet energy from the...Ch. 27 - Prob. 7FTDCh. 27 - Prob. 8FTDCh. 27 - Prob. 9FTDCh. 27 - Prob. 10FTDCh. 27 - It takes work to push two bar magnets together...Ch. 27 - A small magnet is dropped into each of two hollow...Ch. 27 - Prob. 13FTDCh. 27 - Show that the volt is the SI unit for the rate of...Ch. 27 - Find the magnetic flux through a 5.0-cm-diameter...Ch. 27 - A circular wire loop 45 cm in diameter has...Ch. 27 - Prob. 17ECh. 27 - Prob. 18ECh. 27 - Find the self-inductance of a 1500-turn solenoid...Ch. 27 - Prob. 20ECh. 27 - Prob. 21ECh. 27 - Prob. 22ECh. 27 - What inductance should you put in series with a...Ch. 27 - The current in a series RL circuit increases to...Ch. 27 - Prob. 25ECh. 27 - Prob. 26ECh. 27 - Prob. 27ECh. 27 - A 1250-turn solenoid 23.2 cm long and 1.58 cm in...Ch. 27 - Prob. 29ECh. 27 - The worlds strongest magnet that can produce a...Ch. 27 - Find the magnetic-field strength in a region where...Ch. 27 - Prob. 32ECh. 27 - Find an expression for the electric-field strength...Ch. 27 - A conducting loop of area A and resistance R lies...Ch. 27 - A conducting loop with area 0.15 m2 and resistance...Ch. 27 - A square wire loop of side l and resistance R is...Ch. 27 - A 5-turn coil 1.0 cm in diameter is rotated at 10...Ch. 27 - A magnetic field is given by B = B0(x/x0)2k, where...Ch. 27 - Prob. 39PCh. 27 - In Example 27.2 take a = 1.0 cm, w = 3.5 cm, and l...Ch. 27 - A 2000-turn solenoid is 2.0 m long and 15 cm in...Ch. 27 - A stent is a cylindrical tube, often made of metal...Ch. 27 - Prob. 43PCh. 27 - Youre an electrical engineer designing an...Ch. 27 - A generator consists of a rectangular coil 75 cm...Ch. 27 - Figure 27.39 shows a pair of parallel conducting...Ch. 27 - Prob. 47PCh. 27 - Prob. 48PCh. 27 - Prob. 49PCh. 27 - The magnetic field inside a solenoid of circular...Ch. 27 - An electron is inside a solenoid, 28 cm from the...Ch. 27 - During lab, youre given a circular wire loop of...Ch. 27 - A flip coil is used to measure magnetic fields....Ch. 27 - Prob. 54PCh. 27 - Prob. 55PCh. 27 - In Fig. 27.23a, take R = 2.5 k and 0 = 50 V. When...Ch. 27 - How long does it take to dissipate 90% of the...Ch. 27 - Prob. 58PCh. 27 - Prob. 59PCh. 27 - Prob. 60PCh. 27 - In Fig. 27.40, take 0 = 12 V, R1 = 4.0 , R2 = 8.0...Ch. 27 - Prob. 62PCh. 27 - Prob. 63PCh. 27 - Your hospital is installing a new MRI scanner...Ch. 27 - A neutron stars magnetic field is about 108 T....Ch. 27 - Prob. 66PCh. 27 - Prob. 67PCh. 27 - Prob. 68PCh. 27 - An electric field and a magnetic field have the...Ch. 27 - Prob. 70PCh. 27 - Prob. 71PCh. 27 - Prob. 72PCh. 27 - Prob. 73PCh. 27 - A circular wire loop of radius a and resistance R...Ch. 27 - The bar in Problem 46 has mass m and is initially...Ch. 27 - Use the node and loop laws to determine the...Ch. 27 - Prob. 77PCh. 27 - You and your roommate are headed to Cancn for...Ch. 27 - One way to measure blood flow when blood vessels...Ch. 27 - Clever farmers with power lines crossing their...Ch. 27 - Clever farmers with power lines crossing their...Ch. 27 - Clever farmers with power lines crossing their...Ch. 27 - Clever farmers with power lines crossing their...

Additional Science Textbook Solutions

Find more solutions based on key concepts
Knowledge Booster
Background pattern image
Physics
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.
Similar questions
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Text book image
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
Text book image
College Physics
Physics
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
Text book image
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Text book image
University Physics Volume 2
Physics
ISBN:9781938168161
Author:OpenStax
Publisher:OpenStax
Text book image
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
What is Electromagnetic Induction? | Faraday's Laws and Lenz Law | iKen | iKen Edu | iKen App; Author: Iken Edu;https://www.youtube.com/watch?v=3HyORmBip-w;License: Standard YouTube License, CC-BY