EP PHYSICS F/SCI.+ENG.W/MOD..-MOD.MAST.
EP PHYSICS F/SCI.+ENG.W/MOD..-MOD.MAST.
5th Edition
ISBN: 9780134402635
Author: GIANCOLI
Publisher: PEARSON CO
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Chapter 29, Problem 68GP

A search coil for measuring B (also called a flip coil) is a small coil with N turns, each of cross-sectional area A. It is connected to a so-called ballistic galvanometer, which is a device to measure the total charge Q that passes through it in a short time. The flip coil is placed in the magnetic field to be measured with its face perpendicular to the field. It is then quickly rotated 180º about a diameter. Show that the total charge Q that flows in the induced current during this short “flip” time is proportional to the magnetic field B. In particular, show that B is given by

B = Q R 2 N A

where R is the total resistance of the circuit, including that of the coil and that of the ballistic galvanometer which measures the charge Q.

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