Samuel Dzifanu
Lab 223: Faraday’s Law
Faraday’s Law
Name
: Samuel Dzifanu
Objective:
The purpose of this experience is to measure the voltage induced in a coil by a changing
magnetic field is measured and compared with the predictions of Faraday's Law. The source of
the magnetic field will be a pair of Helmholtz coils.
Theory:
When current, I, runs through a circular coil with N turns each of radius, r, a magnetic
field is created. Its strength, B, at the center of the coil, is given by the BiotSavart Law:
=
/
B
Nμ I 2
where µ= 4B × 10^–7 T · m/A is the so called permeability constant. On the other hand, a
changing magnetic flux, ф, through a coil of N turns induces an emf, E, given by the Faraday’s
Law:
=
E
Ndфdt
where Φ =∫ B
⋅
d A = BA cos(θ)
for a magnetic field (B) which is constant over the area (A).
Here θ is the angle between the magnetic field vector and the magnitude of the area vector (A).
In this experiment, the area of the field and search coils is constant. The current in the
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 Spring '11
 Opyrchal
 Physics, Magnetic Field, Faraday, Samuel Dzifanu

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