Power Factor Correction: Solving for Complex Power and Unity Factor in a Circuit

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Homework Statement



Consider this circuit. Calculate the complex power for the circuit, and correct the power factor to unity by connecting a parallel reactance to the load.

Circuit schematic with a voltage source labelled 50cos(10^4 t+π/3) V, series inductor 2×10^-2 H, parallel resistor 50 Ω, series inductor 1×10^-2 H, and parallel resistor 200 Ω.


Homework Equations


The Attempt at a Solution



My attempt:

Handwritten AC circuit analysis on lined paper: a source with a branch of two inductors and resistors, followed by impedance, load voltage, complex power and reactive power calculations.


Can someone check? Thanks a lot!
 
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