A 505 turn circular loop coil with a diameter of 3.9cm is initially held perpendicular to the Earth's magnetic field. The coil is then rotated in 7.6ms by 90 degrees, so the plane of the coil is parallel to the magnetic field. The average emf induced in the coil is 7.2V. Find the value of the Earth's magnetic field (in T) inducing the current in the coil.

College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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The problem below explores the basic principles behind electric generators, which we will discuss in class in detail.

A 505 turn circular loop coil with a diameter of 3.9cm is initially held perpendicular to the Earth's magnetic field. The coil is then rotated in 7.6ms by 90 degrees, so the plane of the coil is parallel to the magnetic field. The average emf induced in the coil is 7.2V. Find the value of the Earth's magnetic field (in T) inducing the current in the coil.

As an approximation, assume that the magnetic flux in the coil changes at a constant rate between its maximum and minimum values.

Note that (see the previous problem) the flux through the coil is 505 times larger than if it was made out of one wire loop.

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