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Chapter 6

AC Circuit Analysis

Sinusoidal Sources
Sinusoidal Sources
Direct current refers to unidirectional current, whereas alternating current refers to current that reverses its direction periodically. Alternating ...
Graphical and Analytic Representation of Sinusoids
Graphical and Analytic Representation of Sinusoids
Analyzing two sinusoidal voltages on an oscilloscope with equal amplitude and period but different phases involves three steps. First, the peak-to-peak ...
Phasors
Phasors
Phasors are complex representations of the sinusoids where the magnitude of the phasor equals the amplitude, and the angle equals the phase measured from ...
Phasor Arithmetics
Phasor Arithmetics
Consider a sinusoid and its corresponding phasor. The derivative of the sinusoid in the time domain equals its phasor multiplied by j-omega in the phasor ...
Phasor Relationships for Circuit Elements
Phasor Relationships for Circuit Elements
The voltage-current relationship for the resistors, inductors, and capacitors can be transformed from the time domain to the phasor or frequency domain ...
Kirchoff's Laws using Phasors
Kirchoff's Laws using Phasors
Consider a household circuit where an AC power supply from the distribution panel is wired to appliances in parallel. Analyzing an AC circuit involves ...
Impedances and Admittance
Impedances and Admittance
In AC circuits, the passive elements - the resistor, the inductor, and the capacitor - are characterized by the phasor voltage and current. Impedance is ...
Impedance Combination
Impedance Combination
Consider a string of christmas lights, where each bulb represents an impedance. This series arrangement of impedances ensures a uniform current across ...
Node Analysis for AC Circuits
Node Analysis for AC Circuits
In the rotablator angioplasty system, the turbine causes the rotation of the catheter burr, which aids in removing plaque deposits from coronary ...
Mesh Analysis for AC Circuits
Mesh Analysis for AC Circuits
In radio communication, an impedance-matching circuit aligns the radio transmitter and receiver impedance. Consider a basic impedance-matching circuit ...
Source Transformation for AC Circuits
Source Transformation for AC Circuits
Consider a circuit composed of a current source and a combination of resistors, capacitors, and inductors with known impedance values. The aim is to ...
Th&#233venin Equivalent Circuits
Thévenin Equivalent Circuits
The household power distribution system which includes distribution lines and transformers, can be considered the source network. Inside the house, ...
Norton Equivalent Circuits
Norton Equivalent Circuits
Norton's theorem states that any two-terminal linear network can be replaced by an equivalent circuit consisting of a constant current source in ...
Superposition Theorem for AC Circuits
Superposition Theorem for AC Circuits
The superposition principle finds application in the analysis of AC linear circuits with multiple independent sources. Consider a circuit consisting of ...
Op Amp AC Circuits
Op Amp AC Circuits
In an audio system, the filter circuit processes the amplified audio signal from an amplifier, strongly attenuating the signal components with low ...
Design Example: Capacitance Multiplier Circuit
Design Example: Capacitance Multiplier Circuit
Capacitance multiplier circuits are used in integrated circuits to produce a multiple of a small physical capacitance when a high-value capacitance is ...
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