Simple logic of reactance diagram is that simplified equivalent circuit of power system in which the various components of power system are represented by their reactances.
The reactance diagram can be obtained from impedance diagram if all the resistive components are neglected.
A term brown out means it is an intentional or unintentional drop in voltage in an electrical power supply system.
Brown outs are long-term (hours-long) voltage sags caused by system overload.
Deviations from the regular sinusoidal wave, both on the utility side and on the customer side, result in poor power quality.
Standard eqution of current for this condition,
i(t) = i(0+)*cos(wt)
i(0+) = E/R
For LC circuit,
w = 1/√(LC)
i(t) = (E/R)*cos((1/√(LC))*t) A