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.

Calculation
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RLC Series Impedance

The frequency dependent impedance of an RLC series circuit
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.
Default values will be entered for unspecified parameters, but all component values can be changed. Click outside the box after entering data to initiate the calculation.
AC behavior of RLC series circuit
Index

Capacitance concepts

Inductance concepts

AC circuit concepts
  HyperPhysics***** Electricity and Magnetism Go Back