# RLC values in an AC circuit

A series RLC circuit has R=150 ohm, L=500 mH, C=30 uF is connected to a signal generator, whose output frequency is adjusted to 100 Hz and the averaged output voltage is 10.0V (a) Calculate the impedance Z of the circuit; (b) Find the voltage on each element measured by a voltmeter. (c) Calculate the power factor cos(theta). (d) If the value of the capacitor is suspected to be lower than the stated value, find a way to measure the exact value of the capacitor using the equipment (the signal generator and digital multi-meters) provided.

See attachment for symbol representation.

© BrainMass Inc. brainmass.com October 10, 2019, 8:00 am ad1c9bdddfhttps://brainmass.com/physics/applied-physics/rlc-values-ac-circuit-603662

#### Solution Preview

a.

XL = 2*pi*f*L = 2*pi*100*0.5 = 314.16 ohm

XC = 1/(2*pi*f*C) = 1/(2*pi*100*30*10^-6) = 53.05 ohm

Impedance, Z = sqrt (R^2 + (XL -XC)^2) = ...

#### Solution Summary

This solution contains detailed steps to calculate different parameters such as impedance, current, and power factor of the circuit using the given RLC values in an AC circuit.