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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