A flexible copper cable forms a conducting loop in the presence of a magnetic field of strength 5.0 x 10-3 T into the page, as shown at left. The ends of the wire pass through a narrow rubber ring and are finally attached to a 10-0 resistor . The resistor is then pulled downward, pulling the wire through the ring and reducing the size of the loop. Assume that the resistor is carefully pulled at a speed so that the area of the loop diminishes at a rate of 0.10 m2/s. a) What emf is induced in the wire? b) In which direction, clockwise or counterclockwise, will the induced current start to flows in the wire loop? c) Assuming the resistance of the copper cable is negligible, what is the current through the resistor?

University Physics Volume 2
18th Edition
ISBN:9781938168161
Author:OpenStax
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Chapter12: Sources Of Magnetic Fields
Section: Chapter Questions
Problem 46P: The accompanying figure shows a cross-section of a long, hollow, cylindrical conductor of inner...
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A flexible copper cable forms a conducting loop in the presence of a magnetic field of strength 5.0 x 10-3 T into the page, as shown at left. The ends of the wire pass through a narrow rubber ring and are finally attached to a 10-0 resistor . The resistor is then pulled downward, pulling the wire through the ring and reducing the size of the loop. Assume that the resistor is carefully pulled at a speed so that the area of the loop diminishes at a rate of 0.10 m2/s.

a) What emf is induced in the wire?
b) In which direction, clockwise or counterclockwise, will the induced current start to flows in the wire loop?

c) Assuming the resistance of the copper cable is negligible, what is the current through the resistor?

 

 

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