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Chapter 7

AC Steady State Power

Chapter 7

AC Steady State Power

Instantaneous Power
For a circuit with a sinusoidal input, the power delivered to a passive element equals the product of the voltage and current across it. Expressing …
Average Power
For most practical applications, the time-varying instantaneous power is not a commonly used quantity. Instead, the average power is used as the …
Effective Value of a Periodic Waveform
Consider an AC circuit with a periodic voltage source connected to a resistor. The average power delivered to the resistor equals the integral of the …
Complex Power
Consider a load connected to an AC source. The voltage and currents across this load can be represented in the frequency domain. The complex power is …
Conservation of AC Power
The principle of AC power conservation states that the complex, real, and reactive powers generated by the source are equivalent to the total complex, …
Power Factor
The power factor is the ratio of the active power to the apparent power. It is determined by the phase difference between the voltage and current, which …
Power Factor Correction
The power transmission to a factory involves the transfer of both active and reactive power. The ratio of active to total power defines the power factor. …
The Power Superposition Principle
Consider a circuit with two sinusoidal voltage sources. According to the superposition principle, the total current resulting from both sources is the sum …
The Maximum Power Transfer Theorem
Consider a linear AC circuit connected to a load, represented by its Thevenin equivalent. The current flowing through the load is determined using the …
Simultaneous Transcranial Alternating Current Stimulation and Functional Magnetic Resonance Imaging
Transcranial alternating current stimulation (tACS) is a promising tool for noninvasive investigation of brain oscillations. TACS employs …