Phasor-Domain Circuit Analysis

  • Timothy A. BigelowEmail author


When analyzing and designing circuits for specific functions, solving and optimizing the circuit parameters would be very tedious if we were restricted to solving the complete differential equation for each case. Instead, we need a way to simplify the differential equations that arise due to inductors and capacitors into algebraic expressions. Phasor-domain circuit analysis allows us to make this simplification by assuming sinusoidal steady-state excitation and replacing the time derivatives with complex numbers.


Complex number Rectangular form Polar form Real part of complex number Imaginary part of complex number Imaginary number Magnitude of complex number Phase of complex number Euler number Complex conjugate Euler’s identity Harmonic signals Angular frequency Phase Period Frequency Amplitude RMS values Phasor Impedance Ohm’s law Node voltage method Mesh current method Superposition Time Domain Phasor-domain 

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© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Iowa State UniversityAmesUSA

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