
Concept explainers
If the circular conductor in Fig. 30-21 undergoes thermal expansion while it is in a uniform magnetic field, a current is induced clockwise around it. Is the magnetic field directed into or out of the page?
Figure 30-21 Question 1.

To find:
The direction of the magnetic field.
Answer to Problem 1Q
Solution:
The direction of the magnetic field is out of the page.
Explanation of Solution
1) Concept:
When the magnetic flux through an area bounded by the conducting loop changes, it induces the current in the loop. The induced current produces its own magnetic field. The direction of this current and the field is decided using Lenz’s law.
2) Formula:
3) Given:
i) The circular conductor undergoes thermal expansion.
ii) The conductor is placed in a uniform magnetic field.
iii) The induced current is in the clockwise direction.
4) Calculations:
The thermal expansion changes the area of the conductor. This changes the flux through the conductor as it is placed in a uniform magnetic field. The change in magnetic flux induces the clockwise current in the conductor. This current produces another magnetic field. The direction of this induced magnetic field is decided by the right hand rule. According to the rule, the direction of the induced magnetic field will be into the page.
According to the Lenz’s law, the direction of this induced magnetic field is such that it opposes the flux change. i.e. the direction of the original field.
Hence, the direction of the original field is out of the page.
Conclusion:
The changing magnetic flux induces current in the conductor. The right hand rule decides the direction of the induced magnetic field. Lenz’s law helps us determine the direction of the original magnetic field since the induced magnetic field opposes the original magnetic field.
Want to see more full solutions like this?
Chapter 30 Solutions
Fundamentals of Physics Extended
Additional Science Textbook Solutions
Introductory Chemistry (6th Edition)
Organic Chemistry
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
Chemistry: An Introduction to General, Organic, and Biological Chemistry (13th Edition)
Campbell Biology: Concepts & Connections (9th Edition)
Campbell Biology (11th Edition)
- Please help, everytime I try to input the data only one point shows on the graph. Graph of centripetal force, Fc, versus V E2 from Activity 1. Include a line of best fit and record the equation of the line.arrow_forwardBased on your graph, explain how centripetal force is affected when the hanging mass changes. Does your graph verify the relationship in the equation r = x^i + y^j = r cos ωt I + r sin ωt^j?arrow_forwardDid your experiment results in Data Table 3 verify, to within a reasonable experimental error, the condition of equilibrium of Equation 6: Στanti-clockwise = Στclockwise? Support your response with experimental data. My data shows that they are not equal to each other. So what does this mean? Thanks!arrow_forward
- Please help, everytime I try to input the data only one point shows on the graph. Graph of centripetal force, Fc, versus V E2 from Activity 1. Include a line of best fit and record the equation of the line.arrow_forwardExplain how your experiment met the condition for equilibrium in Equation 4: ΣFvertical = ΣFy = 0.arrow_forwardCan i get answer and solution for this question and can you teach me What we use to get the answer.arrow_forward
- Can i get answer and solution and can you teach me how to get it.arrow_forwardConsider a image that is located 30 cm in front of a lens. It forms an upright image 7.5 cm from the lens. Theillumination is so bright that that a faint inverted image, due to reflection off the front of the lens, is observedat 6.0 cm on the incident side of the lens. The lens is then turned around. Then it is observed that the faint,inverted image is now 10 cm on the incident side of the lens.What is the index of refraction of the lens?arrow_forward2. In class, we discussed several different flow scenarios for which we can make enough assumptions to simplify the Navier-Stokes equations enough to solve them and obtain an exact solution. Consulting the cylindrical form of the Navier-Stokes equations copied below, please answer the following questions. др a 1 a + +0x- + +O₂ = Pgr + μl 18²v, 2 ave ²v₁] az2 + at or r de r Əz dr ar Vodvz др [18 + + +Or + +Vz = Pgz +fl at ar r 20 ôz ôz dr ave дов V,Ve ave +Or + + = pge at dr r 80 Əz + az2 a.) In class, we discussed how the Navier-Stokes equations are an embodiment of Newton's 2nd law, F = ma (where bolded terms are vectors). Name the 3 forces that we are considering in our analysis of fluid flow for this class. др a 10 1 ve 2 av 2200] + +μ or 42 30 b.) If we make the assumption that flow is "fully developed" in the z direction, which term(s) would go to zero? Write the term below, describe what the term means in simple language (i.e. do not simply state "it is the derivative of a with…arrow_forward
- 1. Consult the form of the x-direction Navier-Stokes equation below that we discussed in class. (For this problem, only the x direction equation is shown for simplicity). Note that the equation provided is for a Cartesian coordinate system. In the spaces below, indicate which of the following assumptions would allow you to eliminate a term from the equation. If one of the assumptions provided would not allow you to eliminate a particular term, write "none" in the space provided. du ди at ( + + + 매일) du ди = - Pgx dy др dx ²u Fu u + fl + ax2 ay² az2 - дх - Əz 1 2 3 4 5 6 7 8 9 Assumption Flow is in the horizontal direction (e.g. patient lying on hospital bed) Flow is unidirectional in the x-direction Steady flow We consider the flow to be between two flat, infinitely wide plates There is no pressure gradient Flow is axisymmetric Term(s) in equationarrow_forwardDon't use ai to answer I will report you answerarrow_forwardwhy did the expert subtract the force exerted by the hand and the elbow by the force due to the weight of the hand and forearm and force exerted by the tricep. Does the order matter and how do you determine what to put first. Question 4 AP, CHAPTER 13 FROM BASIC BIOMECHANICS 8TH EDITIONarrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
- Glencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-HillCollege PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning





