Transcript ECE 201 Final Exam Review

Final Exam Review
Dr. Holbert
May 1, 2006
ECE201 Final Exam Review
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The Fundamentals
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Polarity and Passive Sign Convention
Ohm’s Law; KCL; KVL
Voltage and Current Division
Phasors, Impedance, and Complex numbers
ECE201 Final Exam Review
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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
ECE201 Final Exam Review
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Op Amps
v+
+
Rin
v–
vo
+
–
–
A(v+ - v– )
ECE201 Final Exam Review
• Generally apply
nodal analysis
• Ideal Op-Amp
Relations
i– = 0 = i+
v– = v+
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LC Characteristics
Element
V/I Relation
DC Steady-State
Resistor
V(t) = R I(t)
V=IR
Capacitor I(t) = C dV(t)/dt
I=0; open
Inductor
V=0; short
V(t) = L dI(t)/dt
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First-Order Circuits
• Determine the differential equation
• Find the forced (particular) and natural
(complementary) solutions
• Compute time constant (=RC; =L/R)
• Transient and steady-state waveforms
ECE201 Final Exam Review
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Second-Order Circuits
• Determine the differential equation
• Find the forced and homogeneous solutions
• Compute the natural frequency, 0, and the
damping ratio,  (or compute the roots, s1,2,
of the characteristic equation)
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Damping Summary
ζ
Roots (s1, s2)
Damping
ζ>1
Real and unequal Overdamped
ζ=1
Real and equal
0<ζ<1 Complex
Critically damped
Underdamped
ECE201 Final Exam Review
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Transient Circuit Analysis
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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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