5. A square wire loop of side length a sits at a distance a/3 from a long straight wire as shown. Thecurrent through the wire increases from 0 where i(t) = Bt and ß is a constant. Find an expression forthe EMF around the loop and indicate the direction of the induced current.a/3a3

Answered: Image /qna-images/answer/b715120b-3478-4b7d-81ed-65fc3962b630.jpg

Answered: 5. A square wire loop of side length a…

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter32: Inductance

Section: Chapter Questions

Problem 32.8P

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A rectangular conducting loop is placed near a long wire carrying a current I as shown in Figure OQS1.3. If I decreases in time, what can be said of the current induced in the loop? (a) The direction of the current depends on the size of the loop. (b) The current is clockwise. (c) The current is counterclockwise. (d) The current is zero. (e) Nothing can he said about the current in the loop without more information.
A loop of wire is moving near a long, straight wire carrying a constant current I as shown in Figure CQ31.10. (a) Determine the direction of the induced current in the loop as it moves away from the wire. (b) What would be the direction of the induced current in the loop if it were moving toward the wire?
Referring to Figure 23.57(b), what is the direction of the current induced in the coil: (a) If the current in the wire increases? (b) If the current in fine wire decreases? (c) If the current in the wire suddenly changes direction? Explicitly show how you follow the steps in the Problem-Solving Strategy for Lenz’s Law.
When a magnet is thrust into a coil as in Figure 23.4(a), what is the direction of the louse exerted by the coil on the magnet? Draw a diagram showing the direction of the current induced in the coil and the magnetic field it produces, to justify your response. How does the magnitude of the force depend on the resistance of the galvanometer?
How do the multiple-loop coils and iron ring in the version of Faraday's apparatus shown in Figure 23.3 enhance the observation of induced emf?
A magnetic field of magnitude 0.300 T is oriented perpendicular to the plane of a circular loop. (a) Calculate the loop radius if the magnetic flux through the loop is 2.70Wb. (b) Calculate the new magnetic flux if the loop radius is doubled.
When a magnetic field is first turned on, t1 flux through a 20-turn loop varies with time according to m=5.0t22.0t ,where m is in milliwebers, tis in seconds, and the loop is in the plane of the page with the unit normal pointing outward. (a) What is the emf induced in the loop as a function of time? What is the direction of the induced current at (b) t= 0, (c) 0.10, (d) 1.0, and (e) 2.0 s?
What is the peak emf generated by rotating a 1000-turn, 20.0 cm diameter coil in the Earth’s 5.00105T magnetic field, given the plane of the coil is originally perpendicular to the Earth’s field and is rotated to be parallel to the field in 10.0 ms?
Figure OQS1.I is a graph of the magnetic flux through a certain coil of wire as a function of time during an interval while the radius of the coil is increased, the coil is rotated through 1.5 revolutions, and the external source of the magnetic field is turned off, in that order. Rank the emf induced in the coil at the instants marked A through K from the largest positive value to the largest-magnitude negative value. In your ranking.
(a) An MRI technician moves his hand from a region of very low magnetic field strength into an MRI scanner's 2.00 T field with his fingers pointing in the direction of the field. Find the average emf induced in his wedding ling, given its diameter is 2.20 cm and assuming it takes 0.250 s to move it into the field. (b) Discuss whether this current would significantly change the temperature of the ring.
Two rectangular loops of wire lie in the same plane as shown in Figure OQ31.11. If the current I in the outer loop is counterclockwise and increases with time, what is true of the current induced in the inner loop? More than one statement may be correct, (a) It is zero, (b) It is clockwise, (c) It is counterclockwise, (d) Its magnitude depends on the dimensions of the loops, (e) Its direction depends on the dimensions of the loops.
Why must pan of the circuit be moving relative to other parts, to have usable motional emf? Consider, for example, that the rails in Figure 23.11 are stationary relative to the magnetic field, while the rod moves.

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5. A square wire loop of side length a sits at a distance a/3 from a long straight wire as shown. The current through the wire increases from 0 where i(t) = Bt and ß is a constant. Find an expression for the EMF around the loop and indicate the direction of the induced current. a/3 a 3