Explanation Write the expression for the magnetic flux linked with the coil. ϕ = B A cos θ (I) Here, ϕ is the magnetic flux linked with the coil, B is the magnetic field, A is the area and θ is the angle. Write the expression for the area. A = π r 2 (II) Here, r is the radius. Write the expression for the induced emf. ε = − N d ϕ d t (III) Here, ε is the induced emf and N is the number of turns. Conclusion: Substitute 2.70 mm for r in equation (II) to solve for A . A = π ( 2.70 mm × 10 − 3 m 1 mm ) 2 = 2.29 × 10 − 5 m 2 Substitute 2.29 × 10 − 5 m 2 for A and ( 50.0 mT + 3.20 sin ( 1046 π t ) ) for B and 0 ° for θ in equation (I) to solve for ϕ . ϕ = ( 50

Bundle: Physics for Scientists and Engineers with Modern Physics, Loose-leaf Version, 9th + WebAssign Printed Access Card, Multi-Term

9th Edition

ISBN: 9781305932302

Author: Raymond A. Serway, John W. Jewett

Publisher: Cengage Learning

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Chapter 31, Problem 59AP

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Chapter 31, Problem 58AP

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A square coil of wire of side 3.05 cm is placed in a uniform magnetic field of magnitude 1.75 T directed into the page as in the figure shown below. The coil has 21.0 turns and a resistance of 0.780 Q. If the coil is rotated through an angle of 90.0° about the horizontal axis shown in 0.335 s, find the following. Rotation axis x x X (a) the magnitude of the average emf induced in the coil during this rotation (b) the average current induced in the coil during this rotation x xx x x xx x x xx x

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Chapter 31 Solutions

Bundle: Physics for Scientists and Engineers with Modern Physics, Loose-leaf Version, 9th + WebAssign Printed Access Card, Multi-Term

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Solution Summary: The author analyzes the emf induced in the coil as a function of time. varphi =BAmathrmcostheta , A is the area,

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