An infinitely long solenoid of radius R and n turns per unit length carries an oscillating current I(t) - lo cos wt, where lo and w are parameters corresponding to the maximum current and (angular) frequency. This problem concerns a square wire loop of side length a inside the solenoid. You can assume that the loop is wholly contained inside the solenoid, as shown in the picture below, and ignore edge effects. (a) What is the magnetic flux through the loop as a function of time? (b) Write an expression for the magnitude of the emf induced in the loop.

An infinitely long solenoid of radius R and n turns per unit length carries an oscillating current I(t) - lo cos wt, where lo and w are parameters corresponding to the maximum current and (angular) frequency. This problem concerns a square wire loop of side length a inside the solenoid. You can assume that the loop is wholly contained inside the solenoid, as shown in the picture below, and ignore edge effects. (a) What is the magnetic flux through the loop as a function of time? (b) Write an expression for the magnitude of the emf induced in the loop.

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter13: Electromagnetic Induction

Section: Chapter Questions

Problem 89CP: A long solenoid of radius a with n turns per unit length is carrying a tune-dependent current...

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