A metal wire of mass m = 24.1 mg can slide with negligible friction on two horizontal parallel rails separated by a distance d = 2.56 cm as shown below. The track lies in a vertical uniform mag- netic field of magnitude B = 56.3 mT. At time t = 0, the wire is at rest and device G is connected to the rails, producing a constant current I = 9.13 mA in the wire and rails (even as the wire moves). В m d (a) Draw a diagram showing the wire, the track, and the directions of the current in the wire, the magnetic field, and the direction of the magnetic force on the wire. (b) Describe how you expect the wire to move after the current starts flowing (direction? constant or increasing velocity?). Explain your reasoning. (c) At t = 61.1 ms, what is the acceleration and the speed of the wire?

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter31: Gauss’s Law For Magnetism And Ampère’s Law
Section: Chapter Questions
Problem 67PQ
icon
Related questions
Question

Answer all parts of the PHY problem please

A metal wire of mass m = 24.1 mg can slide with negligible friction on two horizontal parallel rails
separated by a distance d = 2.56 cm as shown below. The track lies in a vertical uniform mag-
netic field of magnitude B = 56.3 mT. At time t = 0, the wire is at rest and device G is connected
to the rails, producing a constant current I = 9.13 mA in the wire and rails (even as the wire moves).
В
m
d
(a) Draw a diagram showing the wire, the track, and the directions of the current in the wire, the
magnetic field, and the direction of the magnetic force on the wire.
(b) Describe how you expect the wire to move after the current starts flowing (direction? constant
or increasing velocity?). Explain your reasoning.
(c) At t = 61.1 ms, what is the acceleration and the speed of the wire?
(d) If there is friction between the wire and rails, then the maximum acceleration is achieved when
the magnetic field is at some angle, which depends on the friction coefficient, to the vertical.
Why is this true, and should B tilt to the left or right (viewed as shown in the figure above)?
Transcribed Image Text:A metal wire of mass m = 24.1 mg can slide with negligible friction on two horizontal parallel rails separated by a distance d = 2.56 cm as shown below. The track lies in a vertical uniform mag- netic field of magnitude B = 56.3 mT. At time t = 0, the wire is at rest and device G is connected to the rails, producing a constant current I = 9.13 mA in the wire and rails (even as the wire moves). В m d (a) Draw a diagram showing the wire, the track, and the directions of the current in the wire, the magnetic field, and the direction of the magnetic force on the wire. (b) Describe how you expect the wire to move after the current starts flowing (direction? constant or increasing velocity?). Explain your reasoning. (c) At t = 61.1 ms, what is the acceleration and the speed of the wire? (d) If there is friction between the wire and rails, then the maximum acceleration is achieved when the magnetic field is at some angle, which depends on the friction coefficient, to the vertical. Why is this true, and should B tilt to the left or right (viewed as shown in the figure above)?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Knowledge Booster
Ferromagnetism
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
Physics for Scientists and Engineers: Foundations…
Physics for Scientists and Engineers: Foundations…
Physics
ISBN:
9781133939146
Author:
Katz, Debora M.
Publisher:
Cengage Learning
University Physics Volume 2
University Physics Volume 2
Physics
ISBN:
9781938168161
Author:
OpenStax
Publisher:
OpenStax