Parts a and b of the drawing show the same uniform and constant (in time) magnetic field B directed perpendicularly into the screen over a rectangular region. Outside this region, there is no field. Also shown is a rectangular coil (one turn), which lies in the plane of the screen. In part a the long side of the coil (length = L) is just at the edge of the field region, while in part b the short side (width = W) is just at the edge. It is known that L/W = 5.87. In both parts of the drawing the coil is pushed into the field with the same velocity v until i is completely within the field region. The magnitude of the emf induced in the coil in part a is 0.169 V. What is its magnitude in part b? (into paper) (a) (b) Number i Units

Parts a and b of the drawing show the same uniform and constant (in time) magnetic field B directed perpendicularly into the screen over a rectangular region. Outside this region, there is no field. Also shown is a rectangular coil (one turn), which lies in the plane of the screen. In part a the long side of the coil (length = L) is just at the edge of the field region, while in part b the short side (width = W) is just at the edge. It is known that L/W = 5.87. In both parts of the drawing the coil is pushed into the field with the same velocity v until i is completely within the field region. The magnitude of the emf induced in the coil in part a is 0.169 V. What is its magnitude in part b? (into paper) (a) (b) Number i Units

Physics for Scientists and Engineers with Modern Physics

10th Edition

ISBN:9781337553292

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter31: Inductance

Section: Chapter Questions

Problem 6P: A toroid has a major radius R and a minor radius r and is tightly wound with N turns of wire on a...

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A toroid has a major radius R and a minor radius r and is tightly wound with N turns of wire on a hollow cardboard torus. Figure P31.6 shows half of this toroid, allowing us to see its cross section. If R r, the magnetic field in the region enclosed by the wire is essentially the same as the magnetic field of a solenoid that has been bent into a large circle of radius R. Modeling the field as the uniform field of a long solenoid, show that the inductance of such a toroid is approximately L=120N2r2R Figure P31.6
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