How is the equation for impedance in a parallel resonance LC circuit derived?

AI Thread Summary
At resonance frequency in a parallel resonance LC circuit, the impedance reaches its maximum value and is purely resistive. The impedance is expressed as L/Cr, but the derivation of this equation is not clearly explained in available resources. Users are seeking a step-by-step breakdown of how this relationship is established. Existing references do not provide adequate clarification on the derivation process. Understanding this derivation is essential for grasping the behavior of parallel resonance circuits.
uzair_ha91
Messages
92
Reaction score
0
"At resonance frequency, the circuit impedance is maximum. It is resistive and its value is given L/Cr..."
The book doesn't explain how impedance equals L/Cr, so I'm confused here. How is it derived? (Can you please show all the steps?)
Thanking in advance...
 
Physics news on Phys.org
uzair_ha91 said:
"At resonance frequency, the circuit impedance is maximum. It is resistive and its value is given L/Cr..."
The book doesn't explain how impedance equals L/Cr, so I'm confused here. How is it derived? (Can you please show all the steps?)
Thanking in advance...

This resource should help you out:

http://en.wikipedia.org/wiki/RLC_circuit

.
 
Sorry , the article does not have that equation nor any explanation regarding that...
 
Thread 'Question about pressure of a liquid'

Thread 'Question about pressure of a liquid'

I am looking at pressure in liquids and I am testing my idea. The vertical tube is 100m, the contraption is filled with water. The vertical tube is very thin(maybe 1mm^2 cross section). The area of the base is ~100m^2. Will he top half be launched in the air if suddenly it cracked?- assuming its light enough. I want to test my idea that if I had a thin long ruber tube that I lifted up, then the pressure at "red lines" will be high and that the $force = pressure * area$ would be massive...
View full post »

Thread 'Why is the 3 body problem unsolvable? And what will happen if someone solves it?'

I feel it should be solvable we just need to find a perfect pattern, and there will be a general pattern since the forces acting are based on a single function, so..... you can't actually say it is unsolvable right? Cause imaging 3 bodies actually existed somwhere in this universe then nature isn't gonna wait till we predict it! And yea I have checked in many places that tiny changes cause large changes so it becomes chaos........ but still I just can't accept that it is impossible to solve...
View full post »

Similar threads

Resonant frequency of L - R||C circuit
Replies
21
Views
1K
B LC resonance with high Q factor, Inductor with non magnetic core
Replies
4
Views
1K
Determining Inductance L in an LC Circuit
Replies
5
Views
2K
I Helmholtz resonator with multiple necks--formula?
Replies
10
Views
6K
Pulsating DC supply to LC circuit
Replies
8
Views
3K
High-energy LC oscillatory discharge: what kind of switch?
Replies
19
Views
1K
Can Resonant Frequency Disassociate Water Molecules?
Replies
12
Views
3K
Finding the resonant frequency of this "discriminator" demod circuit.
Replies
2
Views
2K
How to know when an LC circuit hits resonance
Replies
32
Views
5K
Relating resonant frequency to electrical impedance
Replies
9
Views
2K

Hot Threads

Recent Insights

Back
Top