Phasor-Domain Circuit Analysis
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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.