The drawing shows a coil of copper wire thatconsists of two semicircles joined by straightsections of wire. In part a the coil is lying flat on ahorizontal surface. The dashed line also lies in theplane of the horizontal surface. Starting from theorientation in part a, the smaller semicircle rotatesat an angular frequency w about the dashed line,until its plane becomes perpendicular to thehorizontal surface, as shown in part b. A uniformmagnetic field is constant in time and is directedupward, perpendicular to the horizontal surface. Thefield completely fills the region occupied by the coilin either part of the drawing. The magnitude of themagnetic field is 0.38 T. The resistance of the coil is0.025 02, and the smaller semicircle has a radius of0.20 m. The angular frequency at which the smallsemicircle rotates is 1.4 rad/s. Determine theaverage current I, if any, induced in the coil as the coilchanges shape from that in part a of the drawing tothat in part b. Be sure to include an explicit plus orminus sign along with your answer. Assume thecounterclockwise around the larger semicircularwire direction of current (as seen from above)positive.1 =<>(a)i(b)()

Answered: Image /qna-images/answer/1ad99e31-507f-4203-ad07-9dc7b9b852cb.jpg

semicircle rotates is 1.4 rad/s. Determine the average current I, if any, induced in the coil as the coil changes shape from that in part a of the drawing to that in part b. Be sure to include an explicit plus or

semicircle rotates is 1.4 rad/s. Determine the average current I, if any, induced in the coil as the coil changes shape from that in part a of the drawing to that in part b. Be sure to include an explicit plus or

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter34: Maxwell’s Equations And Electromagnetic Waves

Section: Chapter Questions

Problem 52PQ

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Concept explainers

Voltage Across Inductor

An actor is a passive electrical component that consists of a coil bent in the form of wire which uses electromagnetism to produce electric current through the coil. When the electric current flows through a conductor that is the coil, a magnetic flux is developed around the conductor. This flow of current through the coil creates a magnetic field based on Fleming's Right-hand thumb rule. If there is any decrease in the current passing through the inductor, then the magnetic field will also decrease and energy is released through the generation of electric current. There is also a secondary voltage inducing in the same coil due to the magnetic flux, since it opposes any changes in the electric current flowing through the circuit. An inductor is also called choke, coil, or solenoid. A choke is designed to block certain frequencies when the DC current passes. A winding coil is coated with insulation to give extra insulation and protect the circuit. They are usually tightly wrapped around a central core which is cylindrical in nature so that the magnetic flux can be induced. The solenoid is a three-dimension coil that is used to exhibit electromagnetism when the magnetic field is developed due to the current flowing through the coil. The sign convention of the inductor is the same as the power dissipating device. When the current flows into the positive side of the voltage across the inductor, the value is positive and the inductor dissipates power whereas when the inductor releases the power back to the circuit, the current has a negative sign convention. 

Question

The drawing shows a coil of copper wire that
consists of two semicircles joined by straight
sections of wire. In part a the coil is lying flat on a
horizontal surface. The dashed line also lies in the
plane of the horizontal surface. Starting from the
orientation in part a, the smaller semicircle rotates
at an angular frequency w about the dashed line,
until its plane becomes perpendicular to the
horizontal surface, as shown in part b. A uniform
magnetic field is constant in time and is directed
upward, perpendicular to the horizontal surface. The
field completely fills the region occupied by the coil
in either part of the drawing. The magnitude of the
magnetic field is 0.38 T. The resistance of the coil is
0.025 02, and the smaller semicircle has a radius of
0.20 m. The angular frequency at which the small
semicircle rotates is 1.4 rad/s. Determine the
average current I, if any, induced in the coil as the coil
changes shape from that in part a of the drawing to
that in part b. Be sure to include an explicit plus or
minus sign along with your answer. Assume the
counterclockwise around the larger semicircular
wire direction of current (as seen from above)
positive.
1 =
<>
(a)
i
(b)
()

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