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Homework Statement
A series RLC circuit consists of resistor of 200Ω, an inductor of 0.214H and a capacitor of unknown value. When this circuit is energized by 240∠0°, 50Hz sinusoidal supply, the current was found to be 2.6∠0° amperes. Determine:
(i) Value of capacitor in microfarad
(ii) Voltage across the inductor
(iii) Total power consumed
Homework Equations
The Attempt at a Solution
(i) arctan 0°=(χL-χC)/R
χC=χL
χC=2*pi*50*0.214=67.23Ω
C=1/(2*pi*50*0.214)=47.3μF
(ii) V=2.6*67.23=174.8V
(iii) Power= 200*(2.6)^2=1.35kW