Tutorials In Introductory Physics: Homework
1st Edition
ISBN: 9780130662453
Author: Lillian C. McDermott, Peter S. Shaffer
Publisher: PEARSON
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Chapter 9.4, Problem 3bT
Suppose that the electric field in a light wave were
Would it be possible to have a magnetic field that is zero for all x and t? Use Faraday’s law to support your answer. (Hint: How, if at all, would your answers in part A above be different if the magnetic field were zero for all x and t?)
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Problem 4. A Perfect Electric Conductor (PEC) will not support time-varying Electromagnetic
Fields (see diagram at left).
H₁ = 0
PEC
Z
H2 = *Hx
a.) For this given geometry and using H₁ = 0, with the boundary conditions
for magnetic fields on a PEC, determine the value (in terms of Hx) and
direction of the surface current, surf, on the PEC.
b.) What are the units of Hy and Jsurf?
A+5.00 µC point charge is moving at a constant 9.00 x 10° m/s in the
+y-direction, relative to a reference frame.
Part A
At the instant when the point charge is at the origin of this reference frame, find the magnetic-field vector B it produces at point z = 0.500 m, y = 0, z= 0.
Enter your answers numerically separated by commas.
ΑΣφ
Bz, By, Bz =
Submit
Request Answer
Part B
At the instant when the point charge is at the origin of this reference frame, find the magnetic-field vector B it produces at point r = 0, y = -0.500 m, z = 0.
Enter your answers numerically separated by commas.
Bz, By, B2 =
SECTION A
You must answer ALL questions in this Section.
1. Explain (with specific reference to Maxwell's equations) why a traveling wave in the
electric field must always be associated with a propagating wave in the magnetic field.
2. Explain why a free charge q will be attracted to the surface of an electrically neutral
conductor, and explain how you expect this force to vary with distance compared to
the regular Coulomb force between two charges.
3. Explain how you could estimate the refractive index of glass given a power supply,
a sheet of glass, two flat pieces of metal, some wire and appropriate instruments for
measuring the properties of electrical circuits.
4. With reference to one or more of Maxwell's equations, explain why it is apparently
impossible to find a static magnetic field which has a "porcupine" configuration - that
is, a surface at which all the field vectors are pointing in the outward direction.
5. Describe the phenomenon of diamagnetism. A grape (which consists…
Chapter 9 Solutions
Tutorials In Introductory Physics: Homework
Ch. 9.1 - A piece of yarn has been attached to the spring....Ch. 9.1 - During the demonstration, did any of the following...Ch. 9.1 - During the demonstration, each of the following...Ch. 9.1 - Prob. 2aTCh. 9.1 - Prob. 2bTCh. 9.1 - Prob. 3aTCh. 9.1 - Prob. 3bTCh. 9.2 - Describe what happens after the pulse reaches the...Ch. 9.2 - Compare the speed of a pulse in one spring to the...Ch. 9.2 - In answering the questions below, assume that each...
Ch. 9.2 - Prob. 2aTCh. 9.2 - Prob. 2bTCh. 9.2 - Prob. 3aTCh. 9.2 - Prob. 4aTCh. 9.2 - Which of the following quantities are different on...Ch. 9.2 - Prob. 4cTCh. 9.3 - Prob. 1aTCh. 9.3 - Prob. 1bTCh. 9.3 - Prob. 1cTCh. 9.3 - Prob. 1dTCh. 9.3 - Prob. 1eTCh. 9.3 - Prob. 2aTCh. 9.3 - Prob. 2bTCh. 9.3 - Prob. 2cTCh. 9.3 - Prob. 2dTCh. 9.3 - Each of the diagrams at right shows a ray incident...Ch. 9.3 - Does the ray representing a wave always “bend”...Ch. 9.4 - Shown below are mathematical and pictorial...Ch. 9.4 - Three light waves are represented at right. The...Ch. 9.4 - Write an expression for the force exerted on a...Ch. 9.4 - Imagine that the electromagnetic wave in section I...Ch. 9.4 - Prob. 3aTCh. 9.4 - Suppose that the electric field in a light wave...
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- A +5.00 uC point charge is moving at a constant 9.00 x 10° m/s in the +y-direction, relative to a reference frame. Part C At the instant when the point charge is at the origin of this reference frame, find the magnetic-field vector B it produces at point z = 0, y = 0, z= +0.500 m. Enter your answers numerically separated by commas. B, By, Bz = 18,0,0 Submit Previous Answers Request Answer X Incorrect; Try Again; 9 attempts remaining Part D At the instant when the point charge is at the origin of this reference frame, find the magnetic-field vector B it produces at point r = 0, y = -0.500 m, z= +0.500 m Enter your answers numerically separated by commas. ΑΣφ Bz, By. В, В. -arrow_forwardTrough infinitely long straight round conductor of radius R flows current I. determine size and direction of magnetic induction vector B outside of conductor at point that is located in distance of r from longitudinal axis of conductor. determine size and direction of magnetic induction vector B inside of conductor at point that is located in distance of r from its longitudinal axis of conductor. (r<R) simple sketch all cases please. Use Ampère's circuital law (Using B-field and total current).Full justification - Step by step with substantiationarrow_forwardMagnetic flux is the measure of the magnetic field that passes through an area of space or an object. Its mathematical definition is: Y = | B ds z а Suppose you have a copper ring on the plane x,yas indicated in the figure above. Imagine that a constant mangetic field passes through it, given by the vector B = ŷ B, + î B̟. The magnetic flux must be: Ο to. Ψ-B, πα? O b. W = Byna?arrow_forward
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- Curl. Stokes's theorem is a powerful equation that allows the conversion of a surface integral of the curl of a vector over an open surface S into a line integral, such as in the calculation of current through a closed magnetic field loop. Given that Stokes's theorem states: Verify Stokes's theorem for the vector field: B = r cos of+ sin o a. By evaluating f, B dl over the semicircular contour shown below b. By evaluating f,(v x B) ds over the semicircular contour shown below yarrow_forwardA (1.34x10^0)-m radius cylindrical region contains a uniform electric field along the cylinder axis. It is increasing uniformly with time. What is the rate of change (magnitude) of the electric field required to obtain a total displacement current of (3.548x10^0) nA through a cross section of the region? Provide your answer in V/(m.s) with three significant figures. Note: Your answer is assumed to be reduced to the highest power possible. Your Answer: x10 Answer Hide hint for Question 5 What is the displacement current and how it relates to the rate of change of the electric flux?arrow_forwardsolve a and b please. A permanent magnet in the shape of a right circular cylinder of length L and radius R is oriented so that its symmetry axis coincides with the z-axis. The origin of coordinates is at the center of the magnet. If the cylinder has uniform axial magnetization M, a.) determine U* (z) at points on the symmetry axis, both inside and outside the magnet, and b.) use the results of part a.) to find the magnetic induction Bz at points on the symmetry axis, both inside and outside the magnet.arrow_forward
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