Explanation Write the expression for the magnetic flux through a loop. ϕ = A B cos θ (I) Here, ϕ is the magnetic flux, B is the magnetic field, A is the area of the loop and θ is the angle between the area vector and the magnetic field. Write the expression for the area of the circular loop. A = π r 2 Here, A is the area and r is the radius of the loop. Substitute π r 2 for A in equation (I) to find ϕ . ϕ = π r 2 B cos θ (II) Write the expression for the average emf induced in the coil. | ε | = | Δ ϕ Δ t | = | ϕ 2 − ϕ 1 Δ t | (III) Here, | ε | is the magnitude of average induced emf, ϕ 1 is the magnetic flux in the initial position, ϕ 2 is the magnetic flux in the final position and Δ t is the time interval. Conclusion: Substitute 4.0 cm for r , 0.060 T for B and 0 ° for θ in equation (II) to find ϕ 1 . ϕ 1 = π ( 4.0 cm × 10 − 2 m 1 cm ) 2 ( 0

Physics for Scientists and Engineers With Modern Physics

9th Edition

ISBN: 9781133953982

Author: SERWAY, Raymond A./

Publisher: Cengage Learning

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Chapter 31 Solutions

Physics for Scientists and Engineers With Modern Physics

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Solution Summary: The author calculates the magnitude of the average emf induced in the loop using the following equations: varphi =ABmathrmcostheta , A,

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