PHY2061
R. D. Field
Department of Physics
chp36_1.doc
University of Florida
Mutual & Self Inductance
Mutual Inductance (
M
):
Consider
two fixed coils
with a varying
current
I
1
in
coil 1
producing a magnetic
field
B
1
.
The
induced EMF
in
coil 2
due
to
B
1
is proportional to the magnetic flux
through
coil 2
,
Φ
21
2
2
22
=⋅
=
∫
rr
Bd
A N
coil
φ
,
where
N
2
is the number of loops in
coil 2
and
φ
2
is the flux through a
single
loop in
coil 2
.
However, we know that
B
1
is proportional to
I
1
which
means that
Φ
2
is proportional to
I
1
.
The
mutual inductance M
is defined
to be the
constant of proportionality between
Φ
2
and
I
1
and depends on
the geometry of the situation,
M
I
N
I
NM
I
==
=
=
Φ
Φ
2
1
1
2
1
. The
induced EMF
in
coil 2
due
to the varying current in
coil 1
is given by,
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 Spring '08
 FRY
 Physics, Current, Inductance, Magnetic Field, DI, Faraday's law of induction

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