Part a b and c can you show all the steps work ?

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

Part a b and c can you show all the steps work ? 

The accompanying figure shows a cross-section of a long, hollow, cylindrical conductor of inner radius \( r_1 = 2.5 \, \text{cm} \) and outer radius \( r_2 = 5.5 \, \text{cm} \). A 53-A current distributed uniformly over the cross-section flows into the page. Calculate the magnetic field at \( r = 2 \, \text{cm}, r = 3 \, \text{cm}, \) and \( r = 9.5 \, \text{cm} \).

### Diagram Explanation:
The diagram represents a cylindrical conductor with two concentric circles: the inner circle with radius \( r_1 \) and the outer circle with radius \( r_2 \). The shaded area between \( r_1 \) and \( r_2 \) represents the region where the current is distributed.

### Hints:
- Review **Section 12.5 Ampere's Law**, paying particular attention to the details of Example 12.7 on calculating the magnetic field of a thick wire with Ampere’s Law. Utilize a similar approach for this question; see additional hints below for addressing the difference in the distribution of current.

#### a. Magnetic field at \( r = 2 \, \text{cm} \) is \([ \, \, \, \, \, \, \, ] \) T. [Additional hint for (a)]
#### b. Magnetic field at \( r = 3 \, \text{cm} \) is \([ \, \, \, \, \, \, \, ] \) T. [Additional hint for (b)]
#### c. Magnetic field at \( r = 9.5 \, \text{cm} \) is \([ \, \, \, \, \, \, \, ] \) T. [Additional hint for (c)]

**Use the "E" notation to enter your answer in scientific notation.** For example, to enter \( 3.14 \times 10^{-12} \), enter "3.14E-12."

**Question Help:** Message instructor
Transcribed Image Text:The accompanying figure shows a cross-section of a long, hollow, cylindrical conductor of inner radius \( r_1 = 2.5 \, \text{cm} \) and outer radius \( r_2 = 5.5 \, \text{cm} \). A 53-A current distributed uniformly over the cross-section flows into the page. Calculate the magnetic field at \( r = 2 \, \text{cm}, r = 3 \, \text{cm}, \) and \( r = 9.5 \, \text{cm} \). ### Diagram Explanation: The diagram represents a cylindrical conductor with two concentric circles: the inner circle with radius \( r_1 \) and the outer circle with radius \( r_2 \). The shaded area between \( r_1 \) and \( r_2 \) represents the region where the current is distributed. ### Hints: - Review **Section 12.5 Ampere's Law**, paying particular attention to the details of Example 12.7 on calculating the magnetic field of a thick wire with Ampere’s Law. Utilize a similar approach for this question; see additional hints below for addressing the difference in the distribution of current. #### a. Magnetic field at \( r = 2 \, \text{cm} \) is \([ \, \, \, \, \, \, \, ] \) T. [Additional hint for (a)] #### b. Magnetic field at \( r = 3 \, \text{cm} \) is \([ \, \, \, \, \, \, \, ] \) T. [Additional hint for (b)] #### c. Magnetic field at \( r = 9.5 \, \text{cm} \) is \([ \, \, \, \, \, \, \, ] \) T. [Additional hint for (c)] **Use the "E" notation to enter your answer in scientific notation.** For example, to enter \( 3.14 \times 10^{-12} \), enter "3.14E-12." **Question Help:** Message instructor
Expert Solution
Step 1

Given:

Inner radius r1 =2.5 cm =2.5×10-2 m

Outer radius r2 =5.5 cm =5.5 ×10-2 m

Current I =53 A

 

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps

Blurred answer
Knowledge Booster
Helmholtz Free energy
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
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