The conducting rod shown in the figure has length L and is being pulled along horizontal, frictionless, conducting rails at a constant velocity. The rails are connected at one end with a metal strip. A uniform magnetic field, directed out of the page, fills the region in which the rod moves. Assume that L = 7.9 cm, the speed of the rod is v = 4.3 m/s, and the magnitude of the magnetic field is B = 1.2 T. (a) What is the magnitude of emf induced in volts in the rod? (b) What is the current in amperes in the conducting loop? Assume that the resistance of the rod is 0.35Q and that the resistance of the rails and metal strip is negligibly small. (c) At what rate is thermal energy being generated in the rod? (d) What force on the rod is needed to maintain its velocity? (e) At what rate does this force do work on the rod? B (a) Number Units (b) Number Units (c) Number Units (d) Number i Units (e) Number Units

The conducting rod shown in the figure has length L and is being pulled along horizontal, frictionless, conducting rails at a constant velocity. The rails are connected at one end with a metal strip. A uniform magnetic field, directed out of the page, fills the region in which the rod moves. Assume that L = 7.9 cm, the speed of the rod is v = 4.3 m/s, and the magnitude of the magnetic field is B = 1.2 T. (a) What is the magnitude of emf induced in volts in the rod? (b) What is the current in amperes in the conducting loop? Assume that the resistance of the rod is 0.35Q and that the resistance of the rails and metal strip is negligibly small. (c) At what rate is thermal energy being generated in the rod? (d) What force on the rod is needed to maintain its velocity? (e) At what rate does this force do work on the rod? B (a) Number Units (b) Number Units (c) Number Units (d) Number i Units (e) Number Units

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter13: Electromagnetic Induction

Section: Chapter Questions

Problem 47P: Calculate the induced electric field in a 50-tuni coil with a diameter of 15 cm that is placed in a...

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A 2.00-m length of wire is held in an eastwest direction and moves horizontally to the north with a speed of 0.500 m/s. The Earths magnetic field in this region is of magnitude 50.0 T and is directed northward and 53.0 below the horizontal. (a) Calculate the magnitude of the induced emf between the ends of the wire and (b) determine which end is positive.
Calculate the induced electric field in a 50-tuni coil with a diameter of 15 cm that is placed in a spatially uniform magnetic field of magnitude 0.50 T so that the face of the coil and the magnetic field are perpendicular. This magnetic field is reduced to zero in 0.10 seconds. Assume drat the magnetic field is cylindrically symmetric with respect to the central axis of the coil.
A square, flat loop of wire is pulled at constant velocity through a region of uniform magnetic field directed perpendicular to the plane of the loop as shown in Figure OQ31.5. Which of the following statements are correct? More than one statement may be correct. (a) Current is induced in the loop in the clockwise direction. (b) Current is induced in the loop in the counterclockwise direction. (c) No current is induced in the loop. (d) Charge separation occurs in the loop, with the top edge positive. (e) Charge separation occurs in the loop, with the top edge negative. Figure OQ31.5
Medical devices implanted inside the body are often powered using transcutaneous energy transfer (TET), a type of wireless charging using a pair of closely spaced coils. An emf is generated around a coil inside the body by varying the current through a nearby coil outside the body, producing a changing magnetic flux. Calculate the average induced emf if each 10-turn coil has a radius of 1.50 cm and the current in the external coil varies from its maximum value of 10.0 A to zero in 6.25 106 s. (Hint: Recall from Topic 19 that the magnetic field at the center of the current-carrying external coil is B=N0I2R. Assume this magnetic field is constant and oriented perpendicular to the internal coil.)
The bar in Figure OQ31.6 moves on rails to the right with a velocity v,. and a uniform, constant magnetic field is directed out of the page. Which of the following statements are correct? More than one statement may be correct. (a) The induced current in the loop is zero. (b) The induced current in the loop is clockwise. (c) The induced current in the loop is counterclockwise. (d) An external force is required to keep the bar moving at constant speed. (e) No force is required to keep the bar moving at constant speed.
A coil of 1000 turns encloses an area of 25 cm2. It is rotated in 0.010 s from a position where its plane is perpendicular to Earth’s magnetic field to one where its plane is parallel to the field. If the strength of the field is 6.0 x I0 T. what is the average emf induced in the coil?
Is an emf induced in the coil in Figure 23.54 when it is stretched? If so, state why and give the direction of the induced current. Figure 23.54 A circular coil of wire is snatched in a magnetic field.
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?
In a 250-turn automobile alternator, the magnetic flux in each turn is B, = 2.50 104 cos t, where is in webers, is the angular speed of the alternator, and t is in seconds. The alternator is geared to rotate three times for each engine revolution. When the engine is running at an angular speed of 1.00 103 rev/min, determine (a) the induced emf in the alternator as a function of time and (b) the maximum emf in the alternator.
The magnetic field through a circular loop of radius 10.0 cm varies with time as shown in the accompanying figure. The field is perpendicular to the loop. Assuming cylindrical symmetry with respect to the central axis of the loop, plot tire induced electric field in the loop as a function of time.
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You intend to move a rectangular loop of wire into a region of uniform magnetic field at a given speed so as to induce an emf in the loop. The plane of the loop must remain perpendicular to the magnetic field lines. In which orientation should you hold the loop while you move it into the region with the magnetic field to generate the largest emf? (a) with the long dimension of the loop parallel to the velocity vector (b) with the short dimension of the loop parallel to the velocity vector (c) either way because the emf is the same regardless of orientation