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lecture13

lecture13 - Lecture#13 ANNOUNCEMENTS Graded HW can be...

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Lecture 13, Slide 1 EECS40, Fall 2003 Prof. King Lecture #13 ANNOUNCEMENTS Graded HW can be picked up in 278 Cory OUTLINE Mutual inductance First-order 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 – self-induced 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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