A metal bar can slide on two parallel metal rails separated by a distance L. To form a conducting loop, the rails are connected on the left to a resistor with resistance R, against which the resistance in the rest of the loop can be neglected. Throughout this region there is a spatially uniform magnetic field B(t) pointing out of the page, produced by large coils that are not shown. This magnetic field is ramping up exponentially toward a maximum strength Bo as described by the equation [1 B(t) B1-exp = (一)] where T is a known characteristic time of the ramp-up process. An external force accelerates the bar to the right, such that its distance z from the resistor grows according to z(t)=20exp (#) t 2T Ов L x Z 1. [2pts] Find the magnitude of the magnetic flux (t) through the loop made by the bar, rails, and resistor. Express your result in terms of time and the given constants. 2. [5pts] Determine the direction of the (conventional) current I(t) through the loop, briefly indicating your steps and rationale. 3. [10pts] Determine the magnitude of I(t). Now consider a much simpler scenario in ◉ which the magnetic field B and the velocity of the metal bar are both constant, and the metal rails have been replaced by nonconduct- ing wooden rails (which introduces a signifi- cant amount of friction, overcome by the ex- ternal pulling force). L x Z (i) [3pts] What is the magnetic force (direction and magnitude) on the metal bar in this scenario? (ii) [5pts] What is the magnetic force (direction and magnitude) on an electron in the metal bar in this scenario? (iii) [5pts] What is the electric field (direction and magnitude) in the metal bar in this scenario?
A metal bar can slide on two parallel metal rails separated by a distance L. To form a conducting loop, the rails are connected on the left to a resistor with resistance R, against which the resistance in the rest of the loop can be neglected. Throughout this region there is a spatially uniform magnetic field B(t) pointing out of the page, produced by large coils that are not shown. This magnetic field is ramping up exponentially toward a maximum strength Bo as described by the equation [1 B(t) B1-exp = (一)] where T is a known characteristic time of the ramp-up process. An external force accelerates the bar to the right, such that its distance z from the resistor grows according to z(t)=20exp (#) t 2T Ов L x Z 1. [2pts] Find the magnitude of the magnetic flux (t) through the loop made by the bar, rails, and resistor. Express your result in terms of time and the given constants. 2. [5pts] Determine the direction of the (conventional) current I(t) through the loop, briefly indicating your steps and rationale. 3. [10pts] Determine the magnitude of I(t). Now consider a much simpler scenario in ◉ which the magnetic field B and the velocity of the metal bar are both constant, and the metal rails have been replaced by nonconduct- ing wooden rails (which introduces a signifi- cant amount of friction, overcome by the ex- ternal pulling force). L x Z (i) [3pts] What is the magnetic force (direction and magnitude) on the metal bar in this scenario? (ii) [5pts] What is the magnetic force (direction and magnitude) on an electron in the metal bar in this scenario? (iii) [5pts] What is the electric field (direction and magnitude) in the metal bar in this scenario?
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)...
Related questions
Question
Please help me. I don't get this. Don't use AI.
![A metal bar can slide on two parallel metal rails
separated by a distance L. To form a conducting
loop, the rails are connected on the left to a resistor
with resistance R, against which the resistance in
the rest of the loop can be neglected. Throughout
this region there is a spatially uniform magnetic
field B(t) pointing out of the page, produced by
large coils that are not shown. This magnetic field
is ramping up exponentially toward a maximum
strength Bo as described by the equation
[1
B(t) B1-exp
=
(一)]
where T is a known characteristic time of the
ramp-up process. An external force accelerates the
bar to the right, such that its distance z from the
resistor grows according to
z(t)=20exp
(#)
t
2T
Ов
L
x
Z
1. [2pts] Find the magnitude of the magnetic flux (t) through the loop made by the bar, rails, and resistor.
Express your result in terms of time and the given constants.
2. [5pts] Determine the direction of the (conventional) current I(t) through the loop, briefly indicating your
steps and rationale.
3. [10pts] Determine the magnitude of I(t).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6d1ae07f-bdb5-47a8-9afa-ea5a04bdf9c8%2Fb85b3308-761c-4b8e-b081-9821710964cf%2Fp1dex35_processed.png&w=3840&q=75)
Transcribed Image Text:A metal bar can slide on two parallel metal rails
separated by a distance L. To form a conducting
loop, the rails are connected on the left to a resistor
with resistance R, against which the resistance in
the rest of the loop can be neglected. Throughout
this region there is a spatially uniform magnetic
field B(t) pointing out of the page, produced by
large coils that are not shown. This magnetic field
is ramping up exponentially toward a maximum
strength Bo as described by the equation
[1
B(t) B1-exp
=
(一)]
where T is a known characteristic time of the
ramp-up process. An external force accelerates the
bar to the right, such that its distance z from the
resistor grows according to
z(t)=20exp
(#)
t
2T
Ов
L
x
Z
1. [2pts] Find the magnitude of the magnetic flux (t) through the loop made by the bar, rails, and resistor.
Express your result in terms of time and the given constants.
2. [5pts] Determine the direction of the (conventional) current I(t) through the loop, briefly indicating your
steps and rationale.
3. [10pts] Determine the magnitude of I(t).
![Now consider a much simpler scenario in ◉
which the magnetic field B and the velocity
of the metal bar are both constant, and the
metal rails have been replaced by nonconduct-
ing wooden rails (which introduces a signifi-
cant amount of friction, overcome by the ex-
ternal pulling force).
L
x
Z
(i) [3pts] What is the magnetic force (direction and magnitude) on the metal bar in this scenario?
(ii) [5pts] What is the magnetic force (direction and magnitude) on an electron in the metal bar in this
scenario?
(iii) [5pts] What is the electric field (direction and magnitude) in the metal bar in this scenario?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6d1ae07f-bdb5-47a8-9afa-ea5a04bdf9c8%2Fb85b3308-761c-4b8e-b081-9821710964cf%2F52buqzm_processed.png&w=3840&q=75)
Transcribed Image Text:Now consider a much simpler scenario in ◉
which the magnetic field B and the velocity
of the metal bar are both constant, and the
metal rails have been replaced by nonconduct-
ing wooden rails (which introduces a signifi-
cant amount of friction, overcome by the ex-
ternal pulling force).
L
x
Z
(i) [3pts] What is the magnetic force (direction and magnitude) on the metal bar in this scenario?
(ii) [5pts] What is the magnetic force (direction and magnitude) on an electron in the metal bar in this
scenario?
(iii) [5pts] What is the electric field (direction and magnitude) in the metal bar in this scenario?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 6 images
Recommended textbooks for you
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
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…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON