Core - Electrical Engineering

Chapter 6

AC Circuit Analysis

6.1 : Sinusoidal Sources

6.1 : Sinusoidal Sources

Direct current refers to unidirectional current, whereas alternating current refers to current that reverses its direction periodically. Alternating ...

6.2 : Graphical and Analytic Representation of Sinusoids

6.2 : 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 ...

6.3 : 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 ...

6.4 : Phasor Arithmetics

6.4 : 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 ...

6.5 : Phasor Relationships for Circuit Elements

6.5 : 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 ...

6.6 : Kirchoff's Laws using Phasors

6.6 : 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 ...

6.7 : Impedances and Admittance

6.7 : 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 ...

6.8 : Impedance Combination

6.8 : Impedance Combination

Consider a string of christmas lights, where each bulb represents an impedance. This series arrangement of impedances ensures a uniform current across ...

6.9 : Node Analysis for AC Circuits

6.9 : 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 ...

6.10 : Mesh Analysis for AC Circuits

6.10 : 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 ...

6.11 : Source Transformation for AC Circuits

6.11 : 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 ...

6.12 : Thévenin Equivalent Circuits

6.12 : Thévenin Equivalent Circuits

The household power distribution system, encompassing distribution lines and transformers, serves as the primary network. Electrical appliances within a ...

6.13 : Norton Equivalent Circuits

6.13 : 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 ...

6.14 : Superposition Theorem for AC Circuits

6.14 : 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 ...

6.15 : Op Amp AC Circuits

6.15 : 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 ...

6.16 : Design Example: Capacitance Multiplier Circuit

6.16 : 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 ...

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