A rectangular loop of length x = 11 cm and width y = 5.0 cm moves with speed v = 3.0 m/sfrom a region of no magnetic field into a region of uniform B = 2.0 T. The loop has a total%3Dresistance of 1.6 kQ.BхУa) Calculate the emf induced in the loop.b) Calculate the current induced in the loop.c) Determine the direction of the current induced in the rectangular loop.

Answered: Image /qna-images/answer/827f5b7b-6848-4651-8a7c-88d56fa7ebc4.jpg

Answered: A rectangular loop of length x = 11 cm…

University Physics Volume 2

18th Edition

ISBN:9781938168161

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Chapter13: Electromagnetic Induction

Section: Chapter Questions

Problem 33P: A single-turn circular loop of wire of radius 50 mm lies in a plane perpendicular to a spatially...

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A thin conducting bar (60.0 cm long) aligned in the positive y direction is moving with velocity v=(1.25m/s)i in a region with a spatially uniform 0.400-T magnetic field directed at an angle of 36.0 above the xy plane. a. What is the magnitude of the emf induced along the length of the moving bar? b. Which end of the bar is positively charged?
100-turn square coil of side 20.0 cm rotates about a vertical axis at 1.50 103 rev/min as indicated in Figure P31.42. The horizontal component of the Earths magnetic field at the coils location is equal to 2.00 105 T. (a) Calculate the maximum emf induced in the coil by this Held, (b) What is the orientation of the coil with respect to the magnetic field when the maximum emf occurs?
A coil of area 0.100 m2 is rotating at 60.0 rev/s with the axis of rotation perpendicular to a 0.200-T magnetic field. (a) If the coil has 1 000 turns, what is the maximum emf generated in it? (b) What is the orientation of the coil with respect to the magnetic field when the maximum induced voltage occurs?
A truck is carrying a steel beam of length 15.0 in on a freeway. An accident causes the beam to be dumped off the truck and slide horizontally along the ground at a speed of 25.0 m/s. The velocity of the center of mass of the beam is northward while the length of the beam maintains an east-west orientation. The vertical component of the Earths magnetic field at this location has a magnitude of 35.0 T. What is the magnitude of the induced emf between the ends of the beam?
A long solenoid with n= 10 turns per centimeter has a cross-sectional area of 5.0 cm2and carries a current of 0.25 A. A coil with five turns encircles the solenoid. When the current through the solenoid is turned off, it decreases to zero in 0.050 s. What is the average emf induced in the coil?
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?
Unreasonable results To construct a non-mechanical water meter, a 0.500-T magnetic field is placed across the supply water pipe to a home and the Hall voltage is recorded, (a) Find the flow rate through a 3.00-cm-diameter pipe if the Hall voltage is 60.0 mV. (b) What would the Hail voltage be for the same flow rate through a 10,0-cm- diameter pipe with tire same field applied?
Figure P32.21 shows a circular conducting loop with a 5.00-cm radius and a total resistance of 1.30 placed within a uniform magnetic field pointing into the page. a. What is the rate at which the magnetic field is changing if a counterclockwise current I = 4.60 102 A is induced in the loop? b. Is the induced current caused by an increase or a decrease in the magnetic field with time?
A time-dependent uniform magnetic field of magnitude B(t) is confined in a cylindrical region of radius R. A conducting rod of length 2D is placed in the region, as shown below. Show that the emf between the ends of the rod is given by dBdtDR2D2 . ( Hint: To find the between the ends, we need to integrate the electric field from one end to the other. To find the electric field, use Faraday’s law as “Ampere’s law for E”.)
A uniform magnetic field B=5.44104iT passes through a closed surface with a slanted top as shown in Figure P31.59. a. Given the dimensions and orientation of the closed surface shown, what is the magnetic flux through the slanted top of the surface? b. What is the net magnetic flux through the entire closed surface?
A helicopter (Fig. P30.11) has blades of length 3.00 m, extending out from a central hub and rotating at 2.00 rev/s. If the vertical component of the Earths magnetic field is 50.0 T, what is the emf induced between the blade tip and the center hub? Figure P30.11
A parallel-plate capacitor with plate separation d is connected to a source of emf that places a time-dependent voltage V(t) across its circular plates of radius r0and area (a) Write an expression for the time rate of change of energy inside the capacitor in terms of V(t) and dV(t)/ dt. (b) Assuming that V(t) is increasing with time, identify the directions of the elecuic field lines inside the capacitor and of the magnetic field lines at the edge of the region between the plates, and then the direction of the Poynting vector S at this location. (c) Obtain expressions for the time dependence of E(t), for B(t) from the displacement current, and for the magnitude of the Poynting vector at the edge of the region between the plates. (d) From S , obtain an expression In terms of ‘(t) and dV(t)/dt for the rate at which electromagnetic field energy the region between the plates. (e) Compare the results of pails (a) and (d) and explain the relationship between them.

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