Can you explain to me why the induced current moves in the counter clock direction?
Can you explain to me why the induced current moves in the counter clock direction?
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
Related questions
Question
100%
Can you explain to me why the induced current moves in the counter clock direction?
![**Problem 5: Magnetic Induction in a Conducting Ring**
A circular conducting ring of diameter \( d = 2.60 \, \text{m} \) and resistance of \( 3.00 \, \Omega \) is placed in an increasing magnetic field \( B(t) = 2.00t \), directed into the page. The magnetic field is a function of time. The change in the magnetic field is given by:
\[
\frac{\Delta B}{\Delta t} = 2.00 \, \text{T/s}
\]
**a) Find the magnetic flux through the ring at \( t = 1.00 \, \text{s} \):**
\[
\Phi_B = 10.6 \, \text{Wb}
\]
**b) Find the EMF (i.e., voltage) induced in the ring:**
\[
\mathcal{E} = 10.6 \, \text{V}
\]
**c) Find the current induced in the ring:**
\[
I = 3.54 \, \text{A}
\]
**d) What is the direction of the induced current?**
CCW (Counterclockwise)
**e) What is the direction of the induced magnetic field generated by the induced current at the center of the ring?**
Out of page
**f) Find the magnitude of the induced magnetic field at the center of the ring:**
\[
B = 1.71 \times 10^{-7} \, \text{T}
\]
**Diagram Explanation:**
The diagram depicts a circular ring with a diameter \( d \), surrounded by a magnetic field \( B(t) \) indicated by \( \times \) symbols (representing a magnetic field directed into the page). The illustration shows the increasing magnetic field affecting the ring, leading to an induction of EMF and current as explained in the solutions above.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb041252e-6a65-4a9d-bb85-93f64c65df81%2Fffb2a457-593d-496d-b64d-b7770e035f0e%2Fy7fvn6_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem 5: Magnetic Induction in a Conducting Ring**
A circular conducting ring of diameter \( d = 2.60 \, \text{m} \) and resistance of \( 3.00 \, \Omega \) is placed in an increasing magnetic field \( B(t) = 2.00t \), directed into the page. The magnetic field is a function of time. The change in the magnetic field is given by:
\[
\frac{\Delta B}{\Delta t} = 2.00 \, \text{T/s}
\]
**a) Find the magnetic flux through the ring at \( t = 1.00 \, \text{s} \):**
\[
\Phi_B = 10.6 \, \text{Wb}
\]
**b) Find the EMF (i.e., voltage) induced in the ring:**
\[
\mathcal{E} = 10.6 \, \text{V}
\]
**c) Find the current induced in the ring:**
\[
I = 3.54 \, \text{A}
\]
**d) What is the direction of the induced current?**
CCW (Counterclockwise)
**e) What is the direction of the induced magnetic field generated by the induced current at the center of the ring?**
Out of page
**f) Find the magnitude of the induced magnetic field at the center of the ring:**
\[
B = 1.71 \times 10^{-7} \, \text{T}
\]
**Diagram Explanation:**
The diagram depicts a circular ring with a diameter \( d \), surrounded by a magnetic field \( B(t) \) indicated by \( \times \) symbols (representing a magnetic field directed into the page). The illustration shows the increasing magnetic field affecting the ring, leading to an induction of EMF and current as explained in the solutions above.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.Recommended textbooks for you
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:
9780078028229
Author:
Charles K Alexander, Matthew Sadiku
Publisher:
McGraw-Hill Education
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:
9780134746968
Author:
James W. Nilsson, Susan Riedel
Publisher:
PEARSON
Engineering Electromagnetics
Electrical Engineering
ISBN:
9780078028151
Author:
Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:
Mcgraw-hill Education,