University Physics Volume 2
18th Edition
ISBN: 9781938168161
Author: OpenStax
Publisher: OpenStax
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Chapter 13, Problem 63AP
Shown in the following figure is a long, straight wire and a single-turn rectangular loop, both of which he in the plane of the page. The wire is parallel to the long sides of the loop and is 0.50 m away from the closer side. At an instant when the emf induced in the loop is 2.0 V, what is the time rate of change of the current in the wire?
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Shown in the following figure is a long, straight wire and a single-turn rectangular loop, both of which lie in the plane of the page. The wire is parallel to the long sides of the loop and is 0.50 m away from the closer side. At an instant when the emf induced in the loop is 2.0 V, what is the time rate of change of the current in the wire?
Shown in the following figure is a long, straight wire and a single-turn rectangular loop, both of which lie in
the plane of the page. The wire is parallel to the long sides of the loop and is 0.5 m away from the closer
side. At an instant when the voltage induced in the loop is 2.5 V, what is the time rate of change of the
current in the wire?
0.50 m]
3.0 m
0.50 m
a. What is the expression for magnetic field B due to the current I in the long, straight wire, at
distance r away from the wire?
B =
. Give your answer in terms of given variables (I, r) and
physical and numerical constants (o, T, ke, and/or c). Spell out Greek letters and use underscore
("_") for subscripts.
b. Because the magnetic field is not uniform, you will have to use integration to calculate the magnetic
flux, =
= [₁ BdA. Find the magnetic flux through the loop as a function of I ( will be
proportional to I, as shown below; find the coefficient, in base SI units).
Hint for (b)
Φ
I. Give your answer in terms of given…
A wire loop moves translationally (no rotation) in a uniform magnetic field. Is there an emf induced in the loop?
Chapter 13 Solutions
University Physics Volume 2
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