Homework Help is Here – Start Your Trial Now!
Science
Physics
Problem 2: A square loop, length L on each side, is shot with velocity vo into a uniform magnetic field B. The field is perpendicular to the plane of the loop (into the page in Fig. 2). The loop has mass m and resistance R, and it enters the field at t = 0 s. Assume that the loop is moving to the right along the x-axis and that the field begins at x = 0 m. Find an expression for the loop's velocity as a function of time as it enters the magnetic field.

Problem 2: A square loop, length L on each side, is shot with velocity vo into a uniform magnetic field B. The field is perpendicular to the plane of the loop (into the page in Fig. 2). The loop has mass m and resistance R, and it enters the field at t = 0 s. Assume that the loop is moving to the right along the x-axis and that the field begins at x = 0 m. Find an expression for the loop's velocity as a function of time as it enters the magnetic field.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
See similar textbooks
icon
Related questions
Question

I need help with all of these parts because I have having trouble figuring it out is there any chance you can help me with the parts and can you label them too

Problem 2: A square loop, length L on each side, is shot with velocity vº into a uniform magnetic field B. The field is perpendicular to the plane of the loop (into the page in Fig. 2). The loop has mass m and resistance R, and it enters the field at t = 0 s. Assume that the loop is moving to the right along the x-axis and that the field begins at x = 0 m. Find an expression for the loop's velocity as a function of time as it enters the magnetic field. X X X L X GIV a) The induced emf is & = dem, where the change of the flux dt Pm is due to the change of the area of the loop inside the magnetic field. At the moment of time shown in the scheme this area is equal to xL. Derive the formula for the induced current and express it in terms of the loop's speed v = d. Is the current flowing clockwise or counterclockwise? FIG. 2: The scheme for Problem 2 b) Express the magnetic force that is acting on the loop in terms of B, L, R, and v. Notice that the net force is the force acting on the right edge of the loop, because the forces acting on its top and bottom edges (their parts inside the region with the field) cancel each other. Is the force in the positive or negative î direction? c) Write down the Newton's second law, ma = F, for the loop (use only the magnetic force and ignore the gravitational force). Show that this equation can be reduced to du Bdt (where does the minus sign come from?). mR d) Integrate the left side of this equation with respect to v and the right side with respect to t from the initial state (t = 0, v = vo, when the loop enters the field) to the intermediate state (t, v). Assume that the left edge of the loop has not entered the field by the time t. The result will be the expression for v as a function of t.
Transcribed Image Text:Problem 2: A square loop, length L on each side, is shot with velocity vº into a uniform magnetic field B. The field is perpendicular to the plane of the loop (into the page in Fig. 2). The loop has mass m and resistance R, and it enters the field at t = 0 s. Assume that the loop is moving to the right along the x-axis and that the field begins at x = 0 m. Find an expression for the loop's velocity as a function of time as it enters the magnetic field. X X X L X GIV a) The induced emf is & = dem, where the change of the flux dt Pm is due to the change of the area of the loop inside the magnetic field. At the moment of time shown in the scheme this area is equal to xL. Derive the formula for the induced current and express it in terms of the loop's speed v = d. Is the current flowing clockwise or counterclockwise? FIG. 2: The scheme for Problem 2 b) Express the magnetic force that is acting on the loop in terms of B, L, R, and v. Notice that the net force is the force acting on the right edge of the loop, because the forces acting on its top and bottom edges (their parts inside the region with the field) cancel each other. Is the force in the positive or negative î direction? c) Write down the Newton's second law, ma = F, for the loop (use only the magnetic force and ignore the gravitational force). Show that this equation can be reduced to du Bdt (where does the minus sign come from?). mR d) Integrate the left side of this equation with respect to v and the right side with respect to t from the initial state (t = 0, v = vo, when the loop enters the field) to the intermediate state (t, v). Assume that the left edge of the loop has not entered the field by the time t. The result will be the expression for v as a function of t.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Magnetic field
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.
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON
SEE MORE TEXTBOOKS