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Damping factor(Series RLC circuit)

Last modified by
on
Jul 8, 2024, 11:58:30 AM
Created by
on
Jan 13, 2016, 10:13:12 AM
`zeta = "R" /2 *sqrt( "C" / "L" )`
`(R)"Resistance"`
`(C)"Capacitance"`
`(L)"Indictance"`
Tags
Circuit Design Circuit Electronic Series RLC
UUID
408e9f26-b9de-11e5-9770-bc764e2038f2

The Dampening Factor for an RLC circuit in Series calculator computes the dampening factor based on the resistance, inductor and capacitance.

INSTRUCTIONS: Choose units and enter the following:

Dampening Factor (ζ):  The calculator returns the dampening factor as a real number

The Math / Science

An RLC circuit is comprised of a resistor (R), inductor (L) and a capacitor (C) in either parallel or series.  The formula for the dampening factor of an RLC circuit in series is:
 
       ` zeta =  R/2 *sqrt(C/L)`
 
where:
  • ζ = dampening factor
  • R = resistance
  • L = inductance
  • C = capacitance

Damping is caused by the resistance in the circuit. It determines whether or not the circuit will resonate naturally (that is, without a driving source). Circuits which will resonate in this way are described as underdamped and those that will not are overdamped. Damping attenuation (symbol α) is measured in nepers per second.

The special case of `zeta` = 1 is called critical damping and represents the case of a circuit that is just on the border of oscillation. It is the minimum damping that can be applied without causing oscillation.

Reference
RLC-Circuit. https://en.wikipedia.org/wiki/RLC_circuit [Retrieved January 13, 2016]
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