Question

As part of a lab exercise, Sam is given an unknown capacitor and inductor and asked to determine the reactance of the circuit. He connects the inductor and capacitor in series with a resistor and an AC voltage source. He measures the rms current and rms voltage to be 18.0 A and 175 V, respectively, and determines that the voltage lags behind the current by 38.0°.What value does Sam get for the reactance of the circuit?

Answer 1

Rms voltage of circuit

Rms voltage of cicuit

Phase angle ( as voltage lags behind current)

and   , impedance   ----(1)

Using

so -----(2)

Impeadance ----(3)

substituting (1) and (2) in (3)  

Reactance