Lecture 13, Slide 1
EECS40, Fall 2003
Prof. King
Lecture #13
ANNOUNCEMENTS
•
Graded HW can be picked up in 278 Cory
OUTLINE
•
Mutual inductance
•
Firstorder circuits
•
Natural response of an RL circuit
Reading
Chapter 6.4, Chapter 7.1
Lecture 13, Slide 2
EECS40, Fall 2003
Prof. King
Mutual Inductance
•
Mutual inductance occurs when two circuits are
arranged so that the change in current in one
causes a voltage drop to be induced in the other.
Example
: Consider inductor
L
1
in the circuit below
– selfinduced voltage is
L
1
(d
i
1
/d
t
)
– mutually induced voltage is
M
(d
i
2
/d
t
)
…but what is the polarity of this voltage?
–
+
v
g
R
1
L
1
L
2
R
2
M
i
1
i
2
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Lecture 13, Slide 3
EECS40, Fall 2003
Prof. King
The “Dot Convention”
•
If a current “enters” the dotted terminal of a coil,
the reference polarity of the voltage induced in
the other coil is positive at its dotted terminal.
•
If a current “leaves” the dotted terminal of a coil,
the reference polarity of the voltage induced in
the other coil is negative at its dotted terminal.
dt
di
M
2
–
+
v
g
R
1
L
1
L
2
R
2
M
i
1
i
2
dt
di
M
1
–
+
–
+
Lecture 13, Slide 4
EECS40, Fall 2003
Prof. King
•
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 Fall '08
 ChangHasnain
 Inductance, Inductor, RC circuit, RL circuit, Prof. King

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