Multiple inductor or capacitor RLC circuits

AI Thread Summary
The natural frequency of an RLC circuit is given by ω0=(LC)-1/2, but this formula changes when multiple inductors or capacitors are involved. In circuits with components in parallel and series, the overall impedance must be calculated to determine the new natural frequency. The discussion emphasizes the importance of circuit diagrams for accurate analysis. The AC impedances for resistors, inductors, and capacitors are defined as R, jωL, and 1/(jωC), respectively. Understanding these concepts is crucial for analyzing complex RLC circuits effectively.
ricc
Messages
5
Reaction score
0
So I know that the equation for the natural frequency of an RLC circuit is:
ω0=(LC)-1/2
I'm just wondering how this would change for a circuit with more than one inductor or capacitor. Say for instance an inductor in parallel with a capacitor, both connected in series to another inductor.

Cheers in advance for any help you can give me.
 
Physics news on Phys.org
It is easy to write down an equation and even analyze it, once a circuit diagram exists. Specifically, the ac impedances of resistors, inductors, and capacitors are R. jωL, and 1/(jωC).
 

Thread 'Maxwell stress tensor'

This is from Griffiths' Electrodynamics, 3rd edition, page 352. I am trying to calculate the divergence of the Maxwell stress tensor. The tensor is given as ##T_{ij} =\epsilon_0 (E_iE_j-\frac 1 2 \delta_{ij} E^2)+\frac 1 {\mu_0}(B_iB_j-\frac 1 2 \delta_{ij} B^2)##. To make things easier, I just want to focus on the part with the electrical field, i.e. I want to find the divergence of ##E_{ij}=E_iE_j-\frac 1 2 \delta_{ij}E^2##. In matrix form, this tensor should look like this...
View full post »
Thread 'Applying the Gauss (1835) formula for force between 2 parallel DC currents'

Thread 'Applying the Gauss (1835) formula for force between 2 parallel DC currents'

Please can anyone either:- (1) point me to a derivation of the perpendicular force (Fy) between two very long parallel wires carrying steady currents utilising the formula of Gauss for the force F along the line r between 2 charges? Or alternatively (2) point out where I have gone wrong in my method? I am having problems with calculating the direction and magnitude of the force as expected from modern (Biot-Savart-Maxwell-Lorentz) formula. Here is my method and results so far:- This...
View full post »

Similar threads

B LC resonance with high Q factor, Inductor with non magnetic core
Replies
4
Views
1K
B Why does my LC circuit not oscillate its energy between Electric & Magnetic fields?
4
Replies
152
Views
6K
Basic question about RLC circuits
Replies
32
Views
2K
Series RLC and Parallel RLC circuits
Replies
15
Views
5K
Do Oscillations Occur in Inductors When Modifying AM Transmitter Circuits?
Replies
30
Views
3K
Impedances for RLC circuits in the limit of zero frequency
Replies
18
Views
2K
Resonant frequency of L - R||C circuit
Replies
21
Views
1K
Formula for Resonant Frequency of 2 Metal Coaxial Cylinders?
Replies
10
Views
2K
Determining Inductance L in an LC Circuit
Replies
5
Views
2K
LC oscillations - two capacitors and an inductor
Replies
15
Views
587

Hot Threads

Recent Insights

Back
Top