ne so = 0.40w/s Razisn 3. A square coil of wire (36.0 cm long on each side with 50 loops) moves at a constant L = 0.3m B=0.841 € = 2.5s speed of 0.40 m/s throughout the problem. The loop of wire moves from a region of zero magnetic field to a region of magnetic field of strength 0.84 T directed into the page as shown below. The square loop has a resistance of 7.50 92, The loop is completely out of the magnetic field 2.50 s after first beginning to enter the region. t=0 s

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)...
icon
Related questions
Question
100%
**3. Problem Description:**

A square coil of wire (36.0 cm long on each side with 50 loops) moves at a constant speed of 0.40 m/s throughout the problem. The loop of wire moves from a region of zero magnetic field to a region of magnetic field of strength 0.84 T directed into the page as shown below. The square loop has a resistance of 7.50 Ω. The loop is completely out of the magnetic field 2.50 s after first beginning to enter the region.

**Diagram:**

- At time \( t=0 \), the square coil is outside the dotted region representing the magnetic field.
- At time \( t=2.50 \, \text{s} \), the square coil has exited the magnetic field region.
- The velocity \( v \) is indicated, moving from left to right.

**Given:**
- \( N = 50 \) (number of loops)
- \( v = 0.40 \, \text{m/s} \) (velocity)
- \( B = 0.84 \, \text{T} \) (magnetic field strength)
- \( R = 7.5 \, \Omega \) (resistance)
- \( L = 0.36 \, \text{m} \) (length of side)
- \( t = 2.5 \, \text{s} \) (time)

**Equations:**
- \( \mathcal{E} = - \frac{d\Phi}{dt} \) (Faraday’s Law of Induction)
- \( I = \frac{\mathcal{E}}{R} \) (Ohm’s Law)

**Tasks:**

a) From its position at \( t=0 \), how much time does it take for the square coil to get completely into the region of magnetic field?

b) What is the magnetic flux through the coil when it has fully entered the region with magnetic field?

c) Find the magnitude of the current in the square coil:  
i) As the coil enters the magnetic field region  
ii) As it moves through the region  
iii) As the coil exits the region.

d) Find the direction of the current in the loop during these three time intervals (in part c).
Transcribed Image Text:**3. Problem Description:** A square coil of wire (36.0 cm long on each side with 50 loops) moves at a constant speed of 0.40 m/s throughout the problem. The loop of wire moves from a region of zero magnetic field to a region of magnetic field of strength 0.84 T directed into the page as shown below. The square loop has a resistance of 7.50 Ω. The loop is completely out of the magnetic field 2.50 s after first beginning to enter the region. **Diagram:** - At time \( t=0 \), the square coil is outside the dotted region representing the magnetic field. - At time \( t=2.50 \, \text{s} \), the square coil has exited the magnetic field region. - The velocity \( v \) is indicated, moving from left to right. **Given:** - \( N = 50 \) (number of loops) - \( v = 0.40 \, \text{m/s} \) (velocity) - \( B = 0.84 \, \text{T} \) (magnetic field strength) - \( R = 7.5 \, \Omega \) (resistance) - \( L = 0.36 \, \text{m} \) (length of side) - \( t = 2.5 \, \text{s} \) (time) **Equations:** - \( \mathcal{E} = - \frac{d\Phi}{dt} \) (Faraday’s Law of Induction) - \( I = \frac{\mathcal{E}}{R} \) (Ohm’s Law) **Tasks:** a) From its position at \( t=0 \), how much time does it take for the square coil to get completely into the region of magnetic field? b) What is the magnetic flux through the coil when it has fully entered the region with magnetic field? c) Find the magnitude of the current in the square coil: i) As the coil enters the magnetic field region ii) As it moves through the region iii) As the coil exits the region. d) Find the direction of the current in the loop during these three time intervals (in part c).
Expert Solution
steps

Step by step

Solved in 5 steps

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.
Similar questions
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