The figure below is a graph of the induced emf versus time for a coil of N turns

Question

The figure below is a graph of the induced emf versus time for a coil of N turns rotating with angular speed in a uniform magnetic field directed perpendicular to the coil's axis of rotation. Copy this sketch (on a larger scale), and on the same set of axes show the graph of emf versus t. On the same graph, plot the following changes and provide answers to the corresponding questions. (a) The number of turns in the coil is doubled which causes the amplitude to ---Select--- double decrease by half remain unaffected and the period to ---Select--- double decrease by half remain unaffected . (b) The angular speed is doubled which causes the amplitude to ---Select--- double decrease by half remain unaffected and the period to ---Result--- double decrease by half remain unaffected . (c) The angular speed is doubled while the number of turns in the coil is halved which causes the amplitude to ---Result--- double decrease by half remain unaffected and the period to ---Result--- double decrease by half remain unaffected .

Explanation / Answer

part A:

emf = -n d(phi)/dt

hence, if the number of turns is doubled, the amplitude gets double and time period remain unaffected.

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