A rectangular coil of N turns and of length a and width b is rotated at frequency f in a uniform magnetic field of magnitude B, asindicated in the figure. The coil is connected to co-rotating cylinders, against which metal brushes slide to make contact. The emfinduced in the coil is given (as a function of time t) byε = 2лfNabB sin (2лft) = ε sin (2πft).This is the principle of the commercial alternating-current generator. What value of Nab gives an emf with &0 = 161 V when the loop isrotated at 62.3 rev/s in a uniform magnetic field of 0.683 T?Sliding contacts-BX X XX X XaR

Answered: Image /qna-images/answer/ff5f51f4-e005-487c-a25d-c698acfb7650.jpg

Answered: A rectangular coil of N turns and of…

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter13: Electromagnetic Induction

Section: Chapter Questions

Problem 69AP: The conducting rod shown in the accompanying figure moves along parallel metal rails that are 25-cm...

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A flat, square coil of 20 turns that has sides of length 15.0 cm is rotating in a magnetic field of strength 0.050 T. If tlie maximum emf produced in die coil is 30.0 mV, what is the angular velocity of the coil?
How many turns must be wound on a flat, circular coil of radius 20 cm in order to produce a magnetic field of magnitude 4.0105 T at the center of the coil when the current through it is 0.85 A?
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 conducting single-turn circular loop with a total resistance of 5.00 is placed in a time-varying magnetic field that produces a magnetic flux through the loop given by B = a + bt2 ct3, where a = 4.00 Wb, b = 11.0 Wb/s2, and c = 6.00 Wb/s3. B is in webers, and t is in seconds. What is the maximum current induced in the loop during the time interval t = 0 to t = 3.50 s?
A rectangular coil of N turns and of length a and width b is rotated at frequency f in a uniform magnetic field of magnitude B, as indicated in the figure. The coil is connected to co-rotating cylinders, against which metal brushes slide to make contact. The emf induced in the coil is given (as a function of time t) by 8 = 2nfNabB sin (2nft) = 8 sin (2nft). This is the principle of the commercial alternating-current generator. What value of Nab gives an emf with Eo = 165 V when the loop is rotated at 88.7 rev/s in a uniform magnetic field of 0.519 T? Sliding contacts 4 BX X X R
In the figure (Figure 1) a conducting rod of length L = 40.0 cm moves in a magnetic field B of magnitude 0.410 T directed into the plane of the figure. The rod moves with speed v = 5.60 m/s in the direction shown. Part F What is the potential difference across the rod if it moves parallel to ab? Express your answer in volts. Figure < 1 of 1 ? V = 0.91 V B х ах
Two straight conducting rails from a right angle as shown in the figure. A conducting bar with the specific resistance of 0.125 per meter is an contact with the rails. The rails have no resistance. The bar starts at the vertex at time t=0 and moves with a constant velocity of 2m/s parallel to the median of the triangle. Conducting rails and the bar are in a uniform magnetic field with the magnitude of B=0.25 T directed into the page. What is the induced current flowing through the bar and its direction at t=2 s?
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The space to the right of the y axis in (Figure 1) contains a uniform magnetic field of unknown magnitude that points in the positive z direction. As a conducting square loop placed in the xy plane (oriented with its horizontal and vertical sides parallel to the xx and yy axes) moves to the right across the y axis at a constant speed of 2.0 m/s, a 0.42-V emf is induced in the loop. If the side length of the loop is 0.30 mm, what is the magnitude of the magnetic field? B=?
The bar of length 1=20 cm, resistance 0.0005 Ohms and mass 1 kg shown in the figure slides from rest down the frictionless contacts. A magnetic field B is directed vertically upward with magnitude l Tesla. The angle is (theta)=30° a) At the instant the velocity of the bar is 0.1 m/s down the incline, find the induced current in the rod. b) Viewed-from above is the current clockwise or counter clockwise? c) After a while the bar slides with constant speed. Find the magnitude of this constant speed.
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