Principles of Physics: A Calculus-Based Text
5th Edition
ISBN: 9781133104261
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Question
Chapter 23, Problem 6P
(a)
To determine
The current induced in the ring
(b)
To determine
The magnitude of magnetic field in the ring
(c)
To determine
The direction of magnetic field in the ring
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An aluminum ring of radius r₁=5.00 cm and resistance of 3.95 x 10-4 is placed around one end of a long air-core solenoid with 1 090 turns per meter and radius r₂ = 3.00 cm as shown in the figure below. Assume the axial component of the field produced by the
solenoid is one-half as strong over the area of the end of the solenoid as at the center of the solenoid. Also assume the solenoid produces negligible field outside its cross-sectional area. The current in the solenoid is increasing at a rate of 270 A/s.
71
(a) What is the induced current in the ring?
(b) At the center of the ring, what is the magnitude of the magnetic field produced by the induced current in the ring?
HT
12
(c) At the center of the ring, what is the direction of the magnetic field produced by the induced current in the ring?
O to the left
O to the right
O upward
O downward
Need Help? Master It
An aluminum ring of radius rị = 5.00 cm and a resistance of 4.15 × 104 N is placed around one end of a long air-core solenoid with 1 040 turns per meter and radius r2 = 3.00 cm as shown in the
figure below. Assume the axial component of the field produced by the solenoid is one-half as strong over the area of the end of the solenoid as at the center of the solenoid. Also assume the solenoid
produces negligible field outside its cross-sectional area. The current in the solenoid is increasing at a rate of 270 A/s.
(a) What is the induced current in the ring?
A
(b) At the center of the ring, what is the magnitude of the magnetic field produced by the induced current in the ring?
µT
(c) At the center of the ring, what is the direction of the magnetic field produced by the induced current in the ring?
to the left
to the right|
upward
downward
O O
= 0.500 mm. The
For a class demonstration, a professor needs to create a solenoid using copper wire with diameter d
resistance of the solenoid needs to be 4.10 Q and the magnetic field of the solenoid with a current of 3.30 A should be
6.30 x 10-2 T. Assume the resistance does not change significantly with temperature, and the radius of the solenoid is
1.00 cm. (Use p = 1.70 x 10-8 0· m for the resistivity of copper.)
(a) How many turns of wire does the professor need?
turns
(b) Determine the required length (in cm) of the solenoid.
cm
Chapter 23 Solutions
Principles of Physics: A Calculus-Based Text
Ch. 23.1 - A circular loop of wire is held in a uniform...Ch. 23.1 - Prob. 23.2QQCh. 23.2 - You wish to move a rectangular loop of wire into a...Ch. 23.2 - Prob. 23.4QQCh. 23.3 - Prob. 23.5QQCh. 23.4 - In a region of space, a magnetic field is uniform...Ch. 23.6 - Prob. 23.7QQCh. 23.6 - Prob. 23.8QQCh. 23.7 - Prob. 23.9QQCh. 23 - Prob. 1OQ
Ch. 23 - Prob. 2OQCh. 23 - Prob. 3OQCh. 23 - A circular loop of wire with a radius of 4.0 cm is...Ch. 23 - A rectangular conducting loop is placed near a...Ch. 23 - Prob. 6OQCh. 23 - Prob. 7OQCh. 23 - Prob. 8OQCh. 23 - A square, flat loop of wire is pulled at constant...Ch. 23 - The bar in Figure OQ23.10 moves on rails to the...Ch. 23 - Prob. 11OQCh. 23 - Prob. 12OQCh. 23 - A bar magnet is held in a vertical orientation...Ch. 23 - Prob. 14OQCh. 23 - Two coils are placed near each other as shown in...Ch. 23 - A circuit consists of a conducting movable bar and...Ch. 23 - Prob. 17OQCh. 23 - Prob. 1CQCh. 23 - Prob. 2CQCh. 23 - Prob. 3CQCh. 23 - Prob. 4CQCh. 23 - Prob. 5CQCh. 23 - Prob. 6CQCh. 23 - Prob. 7CQCh. 23 - Prob. 8CQCh. 23 - Prob. 9CQCh. 23 - Prob. 10CQCh. 23 - Prob. 11CQCh. 23 - Prob. 12CQCh. 23 - Prob. 13CQCh. 23 - Prob. 14CQCh. 23 - Prob. 15CQCh. 23 - Prob. 16CQCh. 23 - Prob. 1PCh. 23 - An instrument based on induced emf has been used...Ch. 23 - A flat loop of wire consisting of a single turn of...Ch. 23 - Prob. 4PCh. 23 - Prob. 5PCh. 23 - Prob. 6PCh. 23 - A loop of wire in the shape of a rectangle of...Ch. 23 - When a wire carries an AC current with a known...Ch. 23 - Prob. 9PCh. 23 - Prob. 10PCh. 23 - Prob. 11PCh. 23 - A piece of insulated wire is shaped into a figure...Ch. 23 - A coil of 15 turns and radius 10.0 cm surrounds a...Ch. 23 - Prob. 14PCh. 23 - Figure P23.15 shows a top view of a bar that can...Ch. 23 - Prob. 16PCh. 23 - Prob. 17PCh. 23 - A metal rod of mass m slides without friction...Ch. 23 - Review. After removing one string while...Ch. 23 - Prob. 20PCh. 23 - The homopolar generator, also called the Faraday...Ch. 23 - Prob. 22PCh. 23 - A long solenoid, with its axis along the x axis,...Ch. 23 - Prob. 24PCh. 23 - Prob. 25PCh. 23 - Prob. 26PCh. 23 - A coil of area 0.100 m2 is rotating at 60.0 rev/s...Ch. 23 - A magnetic field directed into the page changes...Ch. 23 - Within the green dashed circle shown in Figure...Ch. 23 - Prob. 30PCh. 23 - Prob. 31PCh. 23 - Prob. 32PCh. 23 - Prob. 33PCh. 23 - Prob. 34PCh. 23 - Prob. 35PCh. 23 - Prob. 36PCh. 23 - Prob. 37PCh. 23 - Prob. 38PCh. 23 - Prob. 39PCh. 23 - Prob. 40PCh. 23 - Prob. 41PCh. 23 - Prob. 42PCh. 23 - Prob. 43PCh. 23 - Prob. 44PCh. 23 - Prob. 45PCh. 23 - Prob. 46PCh. 23 - Prob. 47PCh. 23 - Prob. 48PCh. 23 - Prob. 49PCh. 23 - Prob. 50PCh. 23 - Prob. 51PCh. 23 - Prob. 52PCh. 23 - Prob. 53PCh. 23 - Prob. 54PCh. 23 - Prob. 55PCh. 23 - Prob. 56PCh. 23 - Prob. 57PCh. 23 - Figure P23.58 is a graph of the induced emf versus...Ch. 23 - Prob. 59PCh. 23 - Prob. 60PCh. 23 - The magnetic flux through a metal ring varies with...Ch. 23 - Prob. 62PCh. 23 - Prob. 63PCh. 23 - Prob. 64PCh. 23 - Prob. 65PCh. 23 - Prob. 66PCh. 23 - Prob. 67PCh. 23 - Prob. 68PCh. 23 - Prob. 69PCh. 23 - Prob. 70PCh. 23 - Prob. 71PCh. 23 - Prob. 72PCh. 23 - Review. The use of superconductors has been...Ch. 23 - Prob. 74PCh. 23 - Prob. 75P
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- An aluminum ring of radius r1 = 5.00 cm and resistance 3.00 104 is placed around one end of a long air-core solenoid with 1 000 turns per meter and radius r2 = 3.00 cm as shown in Figure P30.5. Assume the axial component of the field produced by the solenoid is one-half as strong over the area of the end of the solenoid as at the center of the solenoid. Also assume the solenoid produces negligible field outside its cross-sectional area. The current in the solenoid is increasing at a rate of 270 A/s. (a) What is the induced current in the ring? At the center of the ring, what are (b) the magnitude and (c) the direction of the magnetic field produced by the induced current in the ring? Figure P30.5 Problems 5 and 6.arrow_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_forward6- chapter31-question20 An aluminium ring of radius 5.00 cm and resistance 3.00 x 10-n is placed on top cm- of a long air-core solenoid with 1000 turns per meter and radius 3.00 cm, as shown in Figure. Over the area of the end of the solenoid, assume that the axial component of the field produced by the solenoid is half as strong as at the center of the solenoid. Assume the solenoid produces negligible field outside its cross- sectional area. The current in the solenoid is increasing at a rate of 270 A/s. What is the induced current (in A) in the ring? Option1 Option2 Option3 Option4 Option5 12.8 6.4 3.2 1.6 0.3 3.00 cmarrow_forward
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