Ac Circuit
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CALIFORNIA INSTITUTE OF TECHNOLOGY PHYSICS MATHEMATICS AND ASTRONOMY DIVISION
Freshman Physics Laboratory (PH003)
Analog Electronic Measurements: AC Measurement
Academic Year 2007-2008 Copyright c Virgínio de Oliveira Sannibale, 2001
Contents
10 Alternating Current Network Theory 10.1 Symbolic Representation of a Sinusoidal Signals, Phasors . . 10.1.1 Derivative of a Phasor . . . . . . . . . . . . . . . . . . 10.1.2 Integral of a Phasor . . . . . . . . . . . . . . . . . . . . 10.2 Current Voltage Equation for Passive Ideal Components with Phasors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10.2.1 The Resistor . . . . . . . . . . . . . . . . . . . . . . . . 10.2.2 The Capacitor . . . . . . . . . . . . . . . . . . . . . . . 10.2.3 The Inductor . . . . . . . . . . . . . . . . . . . . . . . 10.3 The Impedance and Admittance Concept. . . . . . . . . . . . 10.3.1 Impedance in Parallel and Series . . . . . . . . . . . . 10.3.2 Ohm’s Law for Sinusoidal Regime . . . . . . . . . . . 10.4 Two-port Network . . . . . . . . . . . . . . . . . . . . . . . . 10.4.1 The RC Low-Pass Filter . . . . . . . . . . . . . . . . . 10.4.2 The CR High-Pass Filter . . . . . . . . . . . . . . . . . 10.4.3 The LCR Series Resonant Circuit . . . . . . . . . . . . 10.5 First Laboratory Week . . . . . . . . . . . . . . . . . . . . . . 10.5.1 Pre-laboratory Exercises . . . . . . . . . . . . . . . . . 10.5.2 Procedure . . . . . . . . . . . . . . . . . . . . . . . . . 10.6 Second Laboratory Week . . . . . . . . . . . . . . . . . . . . . 10.6.1 Pre-laboratory Exercises . . . . . . . . . . . . . . . . . 10.6.2 Procedure . . . . . . . . . . . . . . . . . . . . . . . . . 3 3 5 5 5 6 6 7 8 9 9 9 11 12 14 16 16 17 18 18 19
2
Chapter 10 Alternating Current Network Theory
In this chapter we will study the properties of electronic networks propagating sinusoidal currents (alternate currents/AC). In this case, voltage or current sources produce sinusoidal waves whose...
Freshman Physics Laboratory (PH003)
Analog Electronic Measurements: AC Measurement
Academic Year 2007-2008 Copyright c Virgínio de Oliveira Sannibale, 2001
Contents
10 Alternating Current Network Theory 10.1 Symbolic Representation of a Sinusoidal Signals, Phasors . . 10.1.1 Derivative of a Phasor . . . . . . . . . . . . . . . . . . 10.1.2 Integral of a Phasor . . . . . . . . . . . . . . . . . . . . 10.2 Current Voltage Equation for Passive Ideal Components with Phasors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10.2.1 The Resistor . . . . . . . . . . . . . . . . . . . . . . . . 10.2.2 The Capacitor . . . . . . . . . . . . . . . . . . . . . . . 10.2.3 The Inductor . . . . . . . . . . . . . . . . . . . . . . . 10.3 The Impedance and Admittance Concept. . . . . . . . . . . . 10.3.1 Impedance in Parallel and Series . . . . . . . . . . . . 10.3.2 Ohm’s Law for Sinusoidal Regime . . . . . . . . . . . 10.4 Two-port Network . . . . . . . . . . . . . . . . . . . . . . . . 10.4.1 The RC Low-Pass Filter . . . . . . . . . . . . . . . . . 10.4.2 The CR High-Pass Filter . . . . . . . . . . . . . . . . . 10.4.3 The LCR Series Resonant Circuit . . . . . . . . . . . . 10.5 First Laboratory Week . . . . . . . . . . . . . . . . . . . . . . 10.5.1 Pre-laboratory Exercises . . . . . . . . . . . . . . . . . 10.5.2 Procedure . . . . . . . . . . . . . . . . . . . . . . . . . 10.6 Second Laboratory Week . . . . . . . . . . . . . . . . . . . . . 10.6.1 Pre-laboratory Exercises . . . . . . . . . . . . . . . . . 10.6.2 Procedure . . . . . . . . . . . . . . . . . . . . . . . . . 3 3 5 5 5 6 6 7 8 9 9 9 11 12 14 16 16 17 18 18 19
2
Chapter 10 Alternating Current Network Theory
In this chapter we will study the properties of electronic networks propagating sinusoidal currents (alternate currents/AC). In this case, voltage or current sources produce sinusoidal waves whose...