lecture05

# lecture05 - Summary from previous lecture Electrical...

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Lecture 05 – Friday, Sept. 14 2.004 Fall ’07 Summary from previous lecture Electrical dynamical variables and elements Electrical networks Charge q ( t ), Q ( s ) . Current i ( t )= ˙ q ( t ), I ( s )= sQ ( s ). Voltage v ( t ), V ( s )= Z ( s ) I ( s ). Resistor v ( t )= Ri ( t ), Z R ( s )= R . Capacitor i ( t )= C ˙ v ( t ), Z C ( s )=1 /Cs . Inductor v ( t )= L d i ( t ) / d t , Z L ( s )= Ls . + + + v 1 v k ··· P v k ( t )=0 P V k ( s )=0 i 1 i k ··· P i k ( t )=0 P I k ( s )=0 Z 1 Z 2 Impedances in series Z = Z 1 + Z 2 1 G = 1 G 1 + 1 G 2 . Z 1 Z 2 Impedances in parallel 1 Z = 1 Z 1 + 1 Z 2 G = G 1 + G 2 . + V 2 V i Z 1 Z 2 + + I V i V 2 Z 2 Z 1 + Z 2 Voltage divider KCL KVL Op—Amp in feedback con guration: V o ( s ) V i ( s ) = Z 2 ( s ) Z 1 ( s ) . V 1 ( s ) I 2 ( s ) I a ( s ) I 1 ( s ) Z 1 ( s ) Z 2 ( s ) V i ( s ) V o ( s ) + - Figure by MIT OpenCourseWare.

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2.004 Fall ’07 Goals for today The DC motor: – equation of motion, – transfer function. Next week:
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lecture05 - Summary from previous lecture Electrical...

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