Faraday’s Law of Induction
Objective:
The objective of this lab is to examine the relationship between a magnetic field and
the induced voltage, emf, it creates that is characterized by Faraday’s Law of Induction.
Faraday’s law states that a changing magnetic field can generate electromotive force, or
voltage in the form of an induced emf, where V=N(
∆Φ
/
∆
t), so that N is the number of
turns in the solenoid,
∆Φ
is change in magnetic flux, and
∆
t is the change in time. The
magnetic flux,
Φ
, is equal to the magnetic force multiplied by the cross sectional area of
the coil, so either a change in magnetic force or area can create a change in magnetic
flux. The magnetic force, B, is equal to uIN/L, or the constant of proportionality
multiplied by the current and number of turns in coil all divided by the length of the
solenoid. Based on these equations, some assumption can be made. The magnetic field, B
can be calculated if the magnitude of the current is known. The magnetic field should be
the same on the edges and at the center of the solenoid. The induced emf can be
calculated if the change in magnetic field is known, and as the frequency of the current
increases, the induced emf should increase as well. Finally, increasing the numbers of
turns in the coil, N, and the magnitude of the magnetic field B, will both cause an
increase in the induced emf. If Faraday’s law is true, the calculated values for the induced
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 Fall '08
 tsen
 Magnetic Field, Faraday, 40.96G, 62.5G, 62.75G

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