Suppose you have a long straight wire AB, which carries a current in the direction indicated in the figure. Beneath this wire is a rectangular loop 20 cm long and 5 cm wide, carrying a current of the same magnitude as the wire, where the long sides are parallel to the wire. The wire and the loop both have a linear density equal to 0.0125 kg/m. The separation between the upper long side of the loop and the wire is 1 cm. A B a) Find the direction of the current in the loop so that it remains floating in the air. b) Calculate the magnetic field (magnitude and direction) in terms of the current I generated by the wire at the points P, Q and R indicated in the figure. (The point Q is at the center of the loop) c) Calculate the force (magnitude and direction) in terms of I, in each of the segments of the loop, generated by the magnetic field of the wire. d) Find the magnitude of the current I flowing through both the wire and the loop. e) What would happen if the loop was moved just a little bit down?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter22: Magnetic Forces And Magnetic Fields
Section: Chapter Questions
Problem 51P
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Suppose you have a long straight wire AB, which carries a current in the direction indicated in
the figure. Beneath this wire is a rectangular loop 20 cm long and 5 cm wide, carrying a current
of the same magnitude as the wire, where the long sides are parallel to the wire. The wire and
the loop both have a linear density equal to 0.0125 kg/m. The separation between the upper
long side of the loop and the wire is 1 cm.
B
R
a) Find the direction of the current in the loop so that it remains floating in the air.
b) Calculate the magnetic field (magnitude and direction) in terms of the current I generated
by the wire at the points P, Q and R indicated in the figure. (The point Q is at the center of the
loop)
c) Calculate the force (magnitude and direction) in terms of I, in each of the segments of the
loop, generated by the magnetic field of the wire.
d) Find the magnitude of the current I flowing through both the wire and the loop.
e) What would happen if the loop was moved just a little bit down?
Transcribed Image Text:Suppose you have a long straight wire AB, which carries a current in the direction indicated in the figure. Beneath this wire is a rectangular loop 20 cm long and 5 cm wide, carrying a current of the same magnitude as the wire, where the long sides are parallel to the wire. The wire and the loop both have a linear density equal to 0.0125 kg/m. The separation between the upper long side of the loop and the wire is 1 cm. B R a) Find the direction of the current in the loop so that it remains floating in the air. b) Calculate the magnetic field (magnitude and direction) in terms of the current I generated by the wire at the points P, Q and R indicated in the figure. (The point Q is at the center of the loop) c) Calculate the force (magnitude and direction) in terms of I, in each of the segments of the loop, generated by the magnetic field of the wire. d) Find the magnitude of the current I flowing through both the wire and the loop. e) What would happen if the loop was moved just a little bit down?
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