Series RLC parallel RLC

Location
Texas
Occupation
electrical Code instructor and mentor
Can anyone explain a real life situation or scenario where a series RLC or Parallel RLC circuit exists


Therealcrt, are you talking about Rules for Series Circuits or Rules for Parallel Circuits? Which one or what is it?

TX+MASTER#4544
 

xformer

Senior Member
Location
Dallas, Tx
Occupation
Master Electrician
Can anyone explain a real life situation or scenario where a series RLC or Parallel RLC circuit exists
Parallel RLC circuits are used all the time. Think of a single motor circuit to a capacitive start motor. :)
Series RLC Circuits are used all the time also. Think of a HID lighting ballast.
 

__dan

Banned
Line reactor on a VFD, line side or load side both, but for different reasons.

If you want it explained, it's an interesting explanation. But what you would have to know is E = L di/dt.

E is the Voltage drop of the inductor in series, L is the fixed inductance of the coil, di/dt is typically a sinewave but is the rate of change per unit time of current. For a fast changing current like transient spike or noise, di/dt is big. For 60Hz sinewave the E drop across the inductor is within the normal rating.

The inductor tends to drop Voltage rather than pass current for current in the form having large di/dt. For low di/dt the inductor performs more like a short and conducts.
 
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synchro

Senior Member
Location
Chicago, IL
Occupation
EE
Can anyone explain a real life situation or scenario where a series RLC or Parallel RLC circuit exists

A series RLC (a series connection of a resistor, inductor, and capacitor) is used for "traps" to eliminate harmonics of a specific frequency. At the resonant frequency 1/(2π√LC), a series RLC that's placed in shunt across filter input lines (or from line to ground) will present a low impedance and therefore attenuate a harmonic near that frequency.

A parallel resonant RLC circuit can be used for a bandpass filter when placed in shunt across circuit conductors, or a notch filter (aka bandstop filter) when placed in series with a conductor. A parallel resonant circuit will present a high impedance at its resonant frequency.

Both series and parallel resonant circuits can be used in wireless charging.
Below is a simple example of a wireless charging circuit with a series resonant "tank" inductively coupled to a series resonant load.


energies-10-00894-g003a-550.jpg

Tesla's ideas for wireless power transfer relied on resonant circuits.
A spark-gap switched Tesla coil has a high impedance secondary RLC resonant circuit magnetically coupled to a primary resonant circuit. The "torus" electrode has a self-capacitance to the surrounding grounded objects. The spark gap completes the primary RLC circuit when the secondary voltage from the mains frequency transformer that's charging the capacitor reaches the breakdown voltage of the gap. Then the energy of 1/2 CV2 that's stored in the capacitor is exchanged to the primary, and vise-versa as oscillation occurs in the resonant primary circuit. And that oscillating primary current is coupled by mutual inductance to the resonant secondary circuit, which then builds up high voltage oscillations because of its high impedance level (large L/C ratio).

Both the primary and secondary resonant circuits could be appropriately viewed as being parallel resonant. But from the point of view of the spark gap, it sees a series resonant RLC circuit because the L and C are in series with it. And so sometimes you have to be more specific about what exactly you are referring to.

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By the way, "L" is used for the symbol of an inductor in honor of Heinrich Lenz:
https://nationalmaglab.org/magnet-a...netism/pioneers/heinrich-friedrich-emil-lenz/
 
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