Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
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Chapter 31, Problem 20PQ
To determine
The current through each Amperian loop.
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The figure below shows two long, parallel wires in cross-section, and the currents they carry are directed out of the page. The left wire carries a current of I1 = 2.96 A,and the right carries a current of I2 = 3.50 A.The two wires are a distance d =20.0 cm apart. Point P is the same distance d above the right wire.Assume the +x-direction is to the right, and the +y-direction is upward.
What are the magnitude (in T) and direction (in degrees) of the net magnetic field due to the two wires at a point P? Measure the angle counterclockwise from the positive x-axis, with point P at the origin of the coordinate system. (Ignore the magnetic field due to the Earth.)
The figure below shows two long, parallel wires in cross-section, and the currents they carry are directed out of the page. The left wire carries a current of I1 = 2.92 A, and the right carries a current of I2 = 3.45 A. The two wires are a distance d = 20.0 cm apart. Point P is the same distance d above the right wire. Assume the +x-direction is to the right, and the +y-direction is upward.
A) What are the magnitude (in T) and direction (in degrees) of the net magnetic field due to the two wires at a point midway between the wires? Measure the angle counterclockwise from the positive x-axis, with the midpoint at the origin of the coordinate system. (Ignore the magnetic field due to the Earth.)
B) What are the magnitude (in T) and direction (in degrees) of the net magnetic field due to the two wires at a point P? Measure the angle counterclockwise from the positive x-axis, with point P at the origin of the coordinate system. (Ignore the magnetic field due to the Earth.)
A portion of a long, cylindrical coaxial cable is shown in the figure below. An electrical current I = 3.0 amps flows down the center conductor, and this same current is returned in the outer conductor. Assume the current is distributed uniformly over the cross sections of the two parts of the cable. The values of the radii in the figure are r1 = 1.5 mm, r2 = 4.0 mm, and r3 = 7.0 mm. Using Ampere’s Law, find the magnitude of the magnetic field at the following distances from the center of the inner wire:
a. 1.0 mm.
b. 3.0 mm.
c. 5.5 mm.
d. 9.0 mm.
Chapter 31 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 31.1 - CASE STUDY Measuring the Magnetic Field Near a Bar...Ch. 31.2 - Prob. 31.2CECh. 31.3 - Prob. 31.3CECh. 31.4 - Magnetic Field Due to a Long, Straight Wire In a...Ch. 31.5 - Prob. 31.5CECh. 31 - Review Suppose you want to use a small, positively...Ch. 31 - Prob. 3PQCh. 31 - Prob. 5PQCh. 31 - Plot the deflection angle of the compass needle in...Ch. 31 - Prob. 7PQ
Ch. 31 - Prob. 8PQCh. 31 - Prob. 9PQCh. 31 - What is the Earths magnetic flux through a. a...Ch. 31 - Prob. 11PQCh. 31 - Prob. 12PQCh. 31 - Figure P31.13 shows a uniform magnetic field. a....Ch. 31 - Prob. 14PQCh. 31 - Figure P31.13 shows a uniform magnetic field. a....Ch. 31 - Prob. 16PQCh. 31 - Prob. 17PQCh. 31 - Prob. 18PQCh. 31 - Prob. 19PQCh. 31 - Prob. 20PQCh. 31 - Prob. 21PQCh. 31 - Prob. 22PQCh. 31 - A steady current I flows through a wire of radius...Ch. 31 - Prob. 24PQCh. 31 - A magnetic field of 4.00 T is measured at a...Ch. 31 - Prob. 27PQCh. 31 - Sketch a plot of the magnitude of the magnetic...Ch. 31 - Prob. 29PQCh. 31 - Prob. 31PQCh. 31 - Prob. 32PQCh. 31 - Prob. 33PQCh. 31 - Prob. 34PQCh. 31 - Prob. 35PQCh. 31 - Prob. 36PQCh. 31 - Prob. 37PQCh. 31 - Prob. 38PQCh. 31 - Prob. 39PQCh. 31 - Prob. 40PQCh. 31 - Prob. 41PQCh. 31 - Prob. 42PQCh. 31 - Prob. 43PQCh. 31 - Prob. 44PQCh. 31 - Prob. 45PQCh. 31 - Prob. 46PQCh. 31 - Prob. 47PQCh. 31 - Prob. 48PQCh. 31 - Prob. 49PQCh. 31 - Prob. 50PQCh. 31 - Prob. 51PQCh. 31 - Prob. 52PQCh. 31 - Prob. 53PQCh. 31 - Prob. 54PQCh. 31 - Prob. 55PQCh. 31 - Prob. 58PQCh. 31 - A uniform magnetic field B=5.44104iT passes...Ch. 31 - Prob. 60PQCh. 31 - A solenoid 1.25 m long with a current of 5.00 A in...Ch. 31 - Prob. 63PQCh. 31 - Prob. 64PQCh. 31 - Prob. 65PQCh. 31 - Prob. 66PQCh. 31 - Prob. 67PQCh. 31 - Prob. 68PQCh. 31 - Prob. 69PQCh. 31 - Prob. 70PQCh. 31 - Prob. 71PQCh. 31 - Prob. 72PQCh. 31 - Prob. 74PQCh. 31 - Prob. 75PQ
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