In part 1 of this lab you will move a coil from well above to well below a strong permanent magnet. You will measure the current in the loop during this motion using a current sensor. The program will also display the flux “measured” through the loop, even though this value is never directly measured. In this problem you will understand how. (a) Starting from Faraday’s Law and Ohm’s law, write an equation relating the current in the loop to the time derivative of the flux through the loop. (b) Now integrate that expression to get the time dependence of the flux through the loop Φ(t) as a function of current I(t). What assumption must the software make (what value must it arbitrarily set) before it can plot flux vs. time?

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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In part 1 of this lab you will move a coil from well above to well below a strong
permanent magnet. You will measure the current in the loop during this motion using a
current sensor. The program will also display the flux “measured” through the loop, even
though this value is never directly measured. In this problem you will understand how.
(a) Starting from Faraday’s Law and Ohm’s law, write an equation relating the
current in the loop to the time derivative of the flux through the loop.
(b) Now integrate that expression to get the time dependence of the flux through the
loop Φ(t) as a function of current I(t). What assumption must the software make (what
value must it arbitrarily set) before it can plot flux vs. time?

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