• Welcome to our site! Electro Tech is an online community (with over 170,000 members) who enjoy talking about and building electronic circuits, projects and gadgets. To participate you need to register. Registration is free. Click here to register now.

Equations during resonance

Status
Not open for further replies.

Archit

Member
I have attached the following circuit in which resonance is happening. Initial voltage of capacitor C1 is Vo , ie Vc1(0)=Vo. Vc2(0)=0. there is zero initial current through inductor Lk. Please provide mathematical equations derived from basic KVL and KCL equations happening here during resonance.
I need to show that after quarter period of resonance one of the C1 will discharge completely and C2 will charge to Vo.
Thanking in anticipation.
EDIT1 Assume C1=C2= Cp
 

Attachments

Last edited:

Tony Stewart

Well-Known Member
Most Helpful Member
Parallel tank cct needs a current source. Never a voltage source then V ratio is never 0 an Vmax rather it is C1/C2
 

Ratchit

Well-Known Member
I have attached the following circuit in which resonance is happening. Initial voltage of capacitor C1 is Vo , ie Vc1(0)=Vo. Vc2(0)=0. there is zero initial current through inductor Lk. Please provide mathematical equations derived from basic KVL and KCL equations happening here during resonance.
I need to show that after quarter period of resonance one of the C1 will discharge completely and C2 will charge to Vo.
Thanking in anticipation.
A quarter period starting for where? At t=0, or when the circuit reaches steady state?. If at t=0, you need to do a transient analysis, so you need to set up the differential equation. What is the period of Vo? How are you going to achieve resonance, by changing the L C values, or the frequency of Vo?

Ratch
 

Archit

Member
A quarter period starting for where? At t=0, or when the circuit reaches steady state?. If at t=0, you need to do a transient analysis, so you need to set up the differential equation. What is the period of Vo? How are you going to achieve resonance, by changing the L C values, or the frequency of Vo?

Ratch
Vo is a dc voltage source. L and C values are fixed. t=0 meaning the time when the circuit conditions are given ie when vc1=vo and il=0
 

Ratchit

Well-Known Member
I have attached the following circuit in which resonance is happening. Initial voltage of capacitor C1 is Vo , ie Vc1(0)=Vo. Vc2(0)=0. there is zero initial current through inductor Lk. Please provide mathematical equations derived from basic KVL and KCL equations happening here during resonance.
I need to show that after quarter period of resonance one of the C1 will discharge completely and C2 will charge to Vo.
Thanking in anticipation.
EDIT1 Assume C1=C2= Cp
OK, I think I have the equations you are look for. Do you want to publish your solution before I disclose mine?

Ratch
 

Ratchit

Well-Known Member
Parallel tank cct needs a current source. Never a voltage source then V ratio is never 0 an Vmax rather it is C1/C2
Question: How can a current source at the resonant frequency send current through a parallel tank circuit when its impedance is infinity? Isn't that like a unstoppable force trying to push an immovable object?

Ratch
 

Archit

Member
Question: How can a current source at the resonant frequency send current through a parallel tank circuit when its impedance is infinity? Isn't that like a unstoppable force trying to push an immovable object?

Ratch
are you getting same?
 
Status
Not open for further replies.

Latest threads

EE World Online Articles

Loading
Top