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Chapter 6

AC Circuit Analysis

Chapter 6

AC Circuit Analysis

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
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 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
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
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
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
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
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
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
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
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
The household power distribution system, encompassing distribution lines and transformers, serves as the primary network. Electrical appliances within a …
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
Consider encountering a circuit in a steady state where all its inputs are sinusoidal, yet they do not all possess the same frequency. Such a circuit is …
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
In integrated circuit technology, a capacitance multiplier is often utilized to produce a larger capacitance value when a small physical capacitance falls …
Effects of Transcranial Alternating Current Stimulation on the Primary Motor Cortex by Online Combined Approach with Transcranial Magnetic Stimulation
Transcranial Alternating Current Stimulation (tACS) is a neuromodulatory technique able to act through sinusoidal electrical waveforms in a specific …
Preparation of Janus Particles and Alternating Current Electrokinetic Measurements with a Rapidly Fabricated Indium Tin Oxide Electrode Array
This article provides a simple method to prepare partially or fully coated metallic particles and to perform the rapid fabrication of electrode arrays, …
Microfluidic Device for the Separation of Non-Metastatic (MCF-7) and Non-Tumor (MCF-10A) Breast Cancer Cells Using AC Dielectrophoresis
Dielectrophoretic devices are capable of the detection and manipulation of cancer cells in a label-free, cost-effective, robust, and accurate manner using …