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ECE201exam3review

ECE201exam3review - (complementary solutions • Compute...

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ECE201 Final Exam Review 1 Final Exam Review
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ECE201 Final Exam Review 2 The Fundamentals Polarity and Passive Sign Convention Ohm’s Law; KCL; KVL Voltage and Current Division Phasors, Impedance, and Complex numbers
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ECE201 Final Exam Review 3 Circuit Analysis Techniques Wide applicability (DC, AC, Transient) Nodal and Loop/Mesh Analyses Linearity; Source Transformation; Superposition Thevenin’s and Norton’s Theorems Applications: Op-Amps
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ECE201 Final Exam Review 4 Op Amps Generally apply nodal analysis Ideal Op-Amp Relations i = 0 = i + v = v + + R in v + v + A ( v + - v ) v o
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ECE201 Final Exam Review 5 LC Characteristics Element V/I Relation DC Steady-State Resistor V( t ) = R I( t ) V = I R Capacitor I( t ) = C d V( t )/ dt I=0; open Inductor V( t ) = L d I( t )/ dt V=0; short
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ECE201 Final Exam Review 6 First-Order Circuits Determine the differential equation Find the forced (particular) and natural
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Unformatted text preview: (complementary) solutions • Compute time constant ( τ =RC; τ =L/R) • Transient and steady-state waveforms ECE201 Final Exam Review 7 Second-Order Circuits • Determine the differential equation • Find the forced and homogeneous solutions • Compute the natural frequency, ϖ , and the damping ratio, ζ (or compute the roots, s 1,2 , of the characteristic equation) ECE201 Final Exam Review 8 Damping Summary ζ Roots ( s 1 , s 2 ) Damping ζ>1 Real and unequal Overdamped ζ=1 Real and equal Critically damped 0<ζ<1 Complex Underdamped ECE201 Final Exam Review 9 Transient Circuit Analysis • First and second order circuits • Differential equation approach • Step-by-step approach • Bottom line : Using techniques from this semester can you find v ( t ) and/or i ( t )?...
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