lecture21

lecture21 - EE 205 Coifman Set your phasors on stun. it's...

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n a m f i o C 5 0 2 E E 21-1 Set your phasors on stun. .. it s time for phasor circuit analysis In other words, finding the sinusoidal steady state response without touching differential equations. How do the following translate into the phasor domain: Connection constraints (Kirchhoff s laws) Device constraints (element equations) If a circuit is being driven by sinusoidal inputs with frequency ω , what will the following elements do to this frequency: a capacitor an inductor an Op Amp Homework set #8, due 5/21/08 8-1, 8-2, 8-3, 8-6, 8-10, 8-12, 8-18 , 8-22, 8-26, 8-29, 8-30
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EE 205 Coifman 21-2 Connection constraints, consider KCL at a node with N inputs: it it i t N 12 0 () + () ++ () = ... It I t I t NN 11 2 2 0 cos cos ... cos ωφ + () + = Using duality, extend to KVL KVL: The algebraic sum of phasor voltages around a loop is zero KCL: The algebraic sum of phasor currents at a node is zero
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EE 205 Coifman 21-3 Device constraints in phasor phorm Resistor: v t Ri t RR () = () j Im Re I R φ
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EE 205 Coifman 21-4 Inductor: vt L di t dt L L () = () j Im Re I L φ
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EE 205 Coifman 21-5 Capacitor: it C dv t dt C C () = () j Im Re I C φ
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This note was uploaded on 07/17/2008 for the course EE 205 taught by Professor Coifman during the Spring '08 term at Ohio State.

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lecture21 - EE 205 Coifman Set your phasors on stun. it's...

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