EBK PHYSICS FOR SCIENTISTS AND ENGINEER
9th Edition
ISBN: 9781305804463
Author: Jewett
Publisher: CENGAGE LEARNING - CONSIGNMENT
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 30, Problem 30.73CP
A wire carrying a current I is bent into the shape of an exponential spiral, r = eθ, from θ = 0 to θ = 2π as suggested in Figure P29.47. To complete a loop, the ends of the spiral are connected by a straight wire along the x axis. (a) The angle β between a radial line and its tangent line at any point on a curve r = f(θ) is related to the function by
Use this fact to show that β = π/4. (b) Find the magnetic field at the origin.
Figure P29.47
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
Two wires AC and BC are attached to a 7 Kg sphere that It rotates at constant speed v in the horizontal circle shown in the figure. Yes θ1 = 55° and θ2= 30 ° and d 1.4 m, determine the range of values of v for which both wires are held taut.
In earlier times when many households received nondigital
television signals from an antenna, the lead-in wires from
the antenna were often constructed in the form of two paral-
lel wires (Fig. P31.50). The two wires carry currents of equal
magnitude in opposite directions. The center-to-center
separation of the wires is w, and a is their radius. Assume
w is large enough compared with a that the wires carry the
current uniformly distributed over their surfaces and negli-
gible magnetic field exists inside the wires. (a) Why does this
configuration of conductors have an inductance? (b) What
TV antenna
TV set
Figure P31.50
constitutes the flux loop for this configuration? (c) Show
that the inductance of a length x of this type of lead-in is
w -
a
L
In
a
A wire carrying a current I is bent into the shape of an exponential spiral, r = eθ, from θ = 0 to θ = 2π as suggested in the figure. To complete a loop, the ends of the spiral are connected by a straight wire along the x axis. (a) The angle β between a radial line and its tangent line at any point on acurve r = f(θ) is related to the function by tan β = (r)/(dr/dθ)Use this fact to show that β = π/4. (b) Find the magnetic field at the origin.
Chapter 30 Solutions
EBK PHYSICS FOR SCIENTISTS AND ENGINEER
Ch. 30 - Consider the magnetic field due to the current in...Ch. 30 - A loose spiral spring carrying no current is hung...Ch. 30 - Prob. 30.3QQCh. 30 - Prob. 30.4QQCh. 30 - Consider a solenoid that is very long compared...Ch. 30 - Prob. 30.1OQCh. 30 - In Figure 30.7, assume I1 = 2.00 A ami I2 = 6.00...Ch. 30 - Answer each question yes or no. (a) Is it possible...Ch. 30 - Two long, parallel wires each carry the same...Ch. 30 - Two long, straight wires cross each other at a...
Ch. 30 - A long, vertical, metallic wire carries downward...Ch. 30 - Suppose you are facing a tall makeup mirror on a...Ch. 30 - A long, straight wire carries a current I (Fig....Ch. 30 - Prob. 30.9OQCh. 30 - Consider the two parallel wires carrying currents...Ch. 30 - What creates a magnetic Hold? More than one answer...Ch. 30 - A long solenoid with closely spaced turns carries...Ch. 30 - A uniform magnetic field is directed along the x...Ch. 30 - Rank the magnitudes of the following magnetic...Ch. 30 - Solenoid A has length L and N turns, solenoid B...Ch. 30 - Is the magnetic field created by a current loop...Ch. 30 - One pole of a magnet attracts a nail. Will the...Ch. 30 - Prob. 30.3CQCh. 30 - A hollow copper tube carries a current along its...Ch. 30 - Imagine you have a compass whose needle can rotate...Ch. 30 - Prob. 30.6CQCh. 30 - A magnet attracts a piece of iron. The iron can...Ch. 30 - Why does hitting a magnet with a hammer cause the...Ch. 30 - The quantity B ds in Amperes law is called...Ch. 30 - Figure CQ30.10 shows four permanent magnets, each...Ch. 30 - Explain why two parallel wires carrying currents...Ch. 30 - Consider a magnetic field that is uniform in...Ch. 30 - Review. In studies of the possibility of migrating...Ch. 30 - In each of parts (a) through (c) of Figure P30.2....Ch. 30 - Calculate the magnitude of the magnetic field at a...Ch. 30 - Calculate the magnitude of the magnetic field at a...Ch. 30 - Prob. 30.5PCh. 30 - In Niels Bohrs 1913 model of the hydrogen atom, an...Ch. 30 - Prob. 30.7PCh. 30 - A conductor consists of a circular loop of radius...Ch. 30 - Two long, straight, parallel wires carry currents...Ch. 30 - Prob. 30.10PCh. 30 - Prob. 30.11PCh. 30 - Consider a flat, circular current loop of radius R...Ch. 30 - A current path shaped as shown in Figure P30.13...Ch. 30 - One long wire carries current 30.0 A to the left...Ch. 30 - Prob. 30.15PCh. 30 - In a long, .straight, vertical lightning stroke,...Ch. 30 - Determine the magnetic field (in terms of I, a,...Ch. 30 - Prob. 30.18PCh. 30 - Determine the magnetic field (in terms of I, a,...Ch. 30 - Two long, parallel wires carry currents of I1 =...Ch. 30 - Two long, parallel conductors, separated by 10.0...Ch. 30 - Prob. 30.22PCh. 30 - Prob. 30.23PCh. 30 - Prob. 30.24PCh. 30 - Prob. 30.25PCh. 30 - In Figure P30.25, the current in the long,...Ch. 30 - Two long, parallel wires are attracted to each...Ch. 30 - Why is the following situation impossible? Two...Ch. 30 - Prob. 30.29PCh. 30 - Niobium metal becomes a superconductor when cooled...Ch. 30 - Figure P30.31 Is a cross-sectional view of a...Ch. 30 - The magnetic coils of a tokamak fusion reactor are...Ch. 30 - A long, straight wire lies on a horizontal table...Ch. 30 - An infinite sheet of current lying in the yz plane...Ch. 30 - The magnetic field 40.0 cm away from a long,...Ch. 30 - A packed bundle of 100 long, straight, insulated...Ch. 30 - Prob. 30.37PCh. 30 - Prob. 30.38PCh. 30 - Prob. 30.39PCh. 30 - A certain superconducting magnet in the form of a...Ch. 30 - A long solenoid that has 1 000 turns uniformly...Ch. 30 - You are given a certain volume of copper from...Ch. 30 - A single-turn square loop of wire, 2.00 cm on each...Ch. 30 - A solenoid 10.0 cm in diameter and 75.0 cm long is...Ch. 30 - It is desired to construct a solenoid that will...Ch. 30 - Prob. 30.46PCh. 30 - A cube of edge length l=2.50 cm is positioned as...Ch. 30 - A solenoid of radius r = 1.25 cm and length =...Ch. 30 - The magnetic moment of the Earth is approximately...Ch. 30 - At saturation, when nearly all the atoms have...Ch. 30 - A 30.0-turn solenoid of length 6.00 cm produces a...Ch. 30 - Prob. 30.52APCh. 30 - Suppose you install a compass on the center of a...Ch. 30 - Why is the following situation impossible? The...Ch. 30 - A nonconducting ring of radius 10.0 cm is...Ch. 30 - Prob. 30.56APCh. 30 - Prob. 30.57APCh. 30 - A circular coil of five turns and a diameter of...Ch. 30 - A very large parallel-plate capacitor has uniform...Ch. 30 - Two circular coils of radius R, each with N turns,...Ch. 30 - Prob. 30.61APCh. 30 - Two circular loops are parallel, coaxial, and...Ch. 30 - Prob. 30.63APCh. 30 - Prob. 30.64APCh. 30 - As seen in previous chapters, any object with...Ch. 30 - Review. Rail guns have been suggested for...Ch. 30 - Prob. 30.67APCh. 30 - An infinitely long, straight wire carrying a...Ch. 30 - Prob. 30.69CPCh. 30 - We have seen that a long solenoid produces a...Ch. 30 - Prob. 30.71CPCh. 30 - Prob. 30.72CPCh. 30 - A wire carrying a current I is bent into the shape...Ch. 30 - Prob. 30.74CPCh. 30 - Prob. 30.75CPCh. 30 - Prob. 30.76CPCh. 30 - The magnitude of the force on a magnetic dipole ...
Knowledge Booster
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
- A rectangular coil consists of N = 100 closely wrapped turns and has dimensions a = 0.400 m and b = 0.300 m. The coil is hinged along the y axis, and its plane makes an angle = 30.0 with the x axis (Fig. P22.25). (a) What is the magnitude of the torque exerted on the coil by a uniform magnetic field B = 0.800 T directed in the positive x direction when the current is I = 1.20 A in the direction shown? (b) What is the expected direction of rotation of the coil? Figure P22.25arrow_forwardA piece of insulated wire is shaped into a figure eight as shown in Figure P23.12. For simplicity, model the two halves of the figure eight as circles. The radius of the upper circle is 5.00 cm and that of the lower circle is 9.00 cm. The wire has a uniform resistance per unit length of 3.00 Ω/m. A uniform magnetic field is applied perpendicular to the plane of the two circles, in the direction shown. The magnetic field is increasing at a constant rate of 2.00 T/s. Find (a) the magnitude and (b) the direction of the induced current in the wire. Figure P23.12arrow_forwardA circular coil 15.0 cm in radius and composed of 145 tightly wound turns carries a current of 2.50 A in the counterclockwise direction, where the plane of the coil makes an angle of 15.0 with the y axis (Fig. P30.73). The coil is free to rotate about the z axis and is placed in a region with a uniform magnetic field given by B=1.35jT. a. What is the magnitude of the magnetic torque on the coil? b. In what direction will the coil rotate? FIGURE P30.73arrow_forward
- A Figure P32.74 shows an N-turn rectangular coil of length a and width b entering a region of uniform magnetic field of magnitude Bout directed out of the page. The velocity of the coil is constant and is upward in the figure. The total resistance of the coil is R. What are the magnitude and direction of the magnetic force on the coil a. when only a portion of the coil has entered the region with the field, b. when the coil is completely embedded in the field, and c. as the coil begins to exit the region with the field?arrow_forwardIn Figure P30.38, the rolling axle, 1.50 m long, is pushed along horizontal rails at a constant speed v = 3.00 m/s. A resistor R = 0.400 is connected to the rails at points a and b, directly opposite each other. The wheels make good electrical contact with the rails, so the axle, rails, and R form a closed-loop circuit. The only significant resistance in the circuit is R. A uniform magnetic field B = 0.080 0 T is vertically downward. (a) Find the induced current I in the resistor. (b) What horizontal force F is required to keep the axle rolling at constant speed? (c) Which end of the resistor, a or b, is at the higher electric potential? (d) What If? After the axle rolls past the resistor, does the current in R reverse direction? Explain your answer. Figure P30.38arrow_forwardA solenoid has a ferromagnetic core, n = 1000 turns per meter, and I = 5.0 A. If B inside the solenoid is 2.0 T, what is for the core material?arrow_forward
- A toroid has a major radius R and a minor radius r and is tightly wound with N turns of wire on a hollow cardboard torus. Figure P31.6 shows half of this toroid, allowing us to see its cross section. If R r, the magnetic field in the region enclosed by the wire is essentially the same as the magnetic field of a solenoid that has been bent into a large circle of radius R. Modeling the field as the uniform field of a long solenoid, show that the inductance of such a toroid is approximately L=120N2r2R Figure P31.6arrow_forwardA loop of wire in the shape of a rectangle of width w and length L and a long, straight wire carrying a current I lie on a tabletop as shown in Figure P23.7. (a) Determine the magnetic flux through the loop due to the current I. (b) Suppose the current is changing with time according to I = a + bt, where a and b are constants. Determine the emf that is induced in the loop if b = 10.0 A/s, h = 1.00 cm, w = 10.0 cm, and L = 1.00 m. (c) What is the direction of the induced current in the rectangle? Figure P23.7arrow_forwardA conducting rod of length ℓ moves on two horizontal, frictionless rails as shown inFigure P31.26. If a constant force of 1.00 N moves the bar at 2.00 m/s through amagnetic field B that is directed into the page (a) what is the current through the 8.00-Ω resistor R? (b) What is the rate at which energy is delivered to the resistor? (c) Whatis the mechanical power delivered by the force Fapp?arrow_forward
- In the figure (Figure 1) a conducting rod of length L = 31.0 cm moves in a magnetic field B of magnitude 0.480 T directed into the plane of the figure. The rod mc with speed v = 5.30 m/s in the direction shown. Figure X X X X X b X χαχ X X 1 of 1 X X X What is the potential difference between the ends of the rod? Express your answer in volts. NO | ΑΣΦΑ ▼ V = Submit Part B Which point, a or b, is at higher potential? b Submit Part C Request Answer E = Submit Request Answer When the charges in the rod are in equilibrium, what is the magnitude of the electric field with Express your answer in volts per meter. VG ΑΣΦΑ V Request Answer V/marrow_forwardA V = 36 mV battery is connected to a single turn loop of dimensions a 15 cm by b = 8 cm has a resistance of R = 25.5 2. The loop is placed in a uniform magnetic field which is perpendicular to the plane of the loop. If the magnetic field is increasing at a rate of 0.9 T/sec, what is the magnitude and direction of the current in the circuit? B x x V T X X www The magnitude, I = x X x R X The direction: Select an answer X X x x x X Units Select an answer ✓ X x X x ххarrow_forwardA long solenoid (radius = 3.0 cm, 2500 turns per meter) carries a current given by I = 0.30 sin(200 t) A, where t is measured in s. When t = 2.5 ms, what is the magnitude of the induced electric field at a point which is 4.0 cm from the axis of the solenoid? O 9.3 x 10-3 V/m O 1.9 x 10-3 V/m O 8.0 x 10-3 V/m O 6.7 x 10-3 V/m O 5.3 10-3 V/marrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningPhysics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
- Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningGlencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-Hill
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Physics for Scientists and Engineers, Technology ...
Physics
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Glencoe Physics: Principles and Problems, Student...
Physics
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Glencoe/McGraw-Hill
What is Electromagnetic Induction? | Faraday's Laws and Lenz Law | iKen | iKen Edu | iKen App; Author: Iken Edu;https://www.youtube.com/watch?v=3HyORmBip-w;License: Standard YouTube License, CC-BY