Suppose the base unit of an inductive charger produces a 1.50×10^-3 T magnetic field. Varying this magnetic field magnitude changes the flux through a 13.0 turn circular loop in the device, creating an emf that charges its battery. Suppose the loop area is 2.75×10^-4 m^2 and the induced emf has an average magnitude of 5.30V. Calculate the time required (in s) for the magnetic field to decrease to zero from its max value

College Physics
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Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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Suppose the base unit of an inductive charger produces a 1.50×10^-3 T magnetic field. Varying this magnetic field magnitude changes the flux through a 13.0 turn circular loop in the device, creating an emf that charges its battery. Suppose the loop area is 2.75×10^-4 m^2 and the induced emf has an average magnitude of 5.30V. Calculate the time required (in s) for the magnetic field to decrease to zero from its max value

Expert Solution
Step 1

The given magnetic field has a magnitude

B=1.5×10-3 T

This magnetic field passes through a circular loop having 13 turns, with an area of 

A=2.75×10-4 m2

When this magnetic field starts changing, the corresponding magnetic flux through this loop changes which then induces an emf in the loop, according to Faraday's law of electromagnetic induction.

The given emf induced in this loop is 5.3 V.

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