RLC Series Circuit

The RLC series circuit is a very important example of a resonant circuit. It has a minimum of impedance Z=R at the resonant frequency, and the phase angle is equal to zero at resonance.

RLC Series Impedance

For

= x10^ F =

= pF

and

= x10^ H = mH = microHenries

at angular frequency		= x10^ rad/s,

frequency = x10^ Hz = kHz = MHz

and resistance R = x10^ ohms = kohms = Megohms,

the impedance is

Z = x10^ ohms = kohms = Megohms

at phase		= degrees.

The resonant condition is

Angular frequency = x10^ rad/s, Frequency f = x10^ Hz Z = R = x10^ ohms Phase = 0

For an applied rms voltage V = volts,

the rms current will be I = x 10^ amperes.

The component voltages can be obtained by multiplying the current times the component impedances.

Capacitor: = volts. Inductance: = volts. Resistor: = volts.