Explanation Write the expression for the magnetic field of the solenoid. B = μ 0 n I ( t ) Here, B is the magnetic field, μ 0 is the permittivity of free space, n is the number of truns per meter and I ( t ) is the current with respect to time. Write the expression for the magnetic flux. Φ = N A B Here, Φ is the magnetic flux, A is the area and N is the number of turns. Substitute μ 0 n I ( t ) for B in the above equation to calculate Φ . Φ = N A μ 0 n I ( t ) Write the expression for the induced emf. ε = − d Φ d t Here, ε is the induced emf. Substitute N A μ 0 n I ( t ) for Φ in the above equation to calculate ε . ε = − N A μ 0 n d I ( t ) d t Substitute 30.0 ( 1 − e − 1.6 t ) for I ( t ) in the above equation. ε = − N A μ 0 n d d t ( 30.0 ( 1 − e − 1.6 t ) ) = − 30.0 N A μ 0 n ( − e − 1.6 t ) ( 1.6 ) = − 48 N A μ 0 n e − 1.6 t (I) Conclusion: Calculate the area covered by the coil

Physics for Scientists and Engineers With Modern Physics

9th Edition

ISBN: 9781133953982

Author: SERWAY, Raymond A./

Publisher: Cengage Learning

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Physics for Scientists and Engineers With Modern Physics

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