PHYSICS F/SCI.+ENGR.,CHAPTERS 1-37
5th Edition
ISBN: 9780134378060
Author: GIANCOLI
Publisher: RENT PEARS
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Question
Chapter 30, Problem 1Q
(a)
To determine
The arrangement of two flat circular coils so that their mutual inductance was greatest.
(a)
Expert Solution
Answer to Problem 1Q
The two circular coils has to place close together and along the same axis.
Explanation of Solution
The magnitude of mutual inductance is directly proportional to the number of field lines or flux passing through the coil. The direction of magnetic field in a coil is along its axis. As the two circular coils are placed along the same axis, the number of field lines passing through one coil due to the current flowing through the other coil is greatest in this arrangement.
Conclusion:
Therefore, the two circular coils has to place close together and along the same axis.
(b)
To determine
The arrangement of two flat circular coils so that their mutual inductance was least.
(b)
Expert Solution
Answer to Problem 1Q
Two circular coils has to place close together with their faces perpendicular to each other.
Explanation of Solution
The magnitude of mutual inductance is proportional to the field lines passing through the coil. The direction of magnetic field in a coil is along its axis. As the faces of coil placed perpendicular to each other, least number of field lines will pass through the coil due the current flowing in the other coil.
Conclusion:
Therefore, two circular coils has to place close together with their faces perpendicular to each other.
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Chapter 30 Solutions
PHYSICS F/SCI.+ENGR.,CHAPTERS 1-37
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