Help with this RLC circuit

Thread Starter

Jeran

Joined Oct 25, 2023
3
Hi everyone, I have this circuit in permanent sinusoidal regime
1698232099118.png


I have to find:

1)Instantaneous power of generator
2)Vc(t)
3)Prove the active power conservation
Help please
 

MrAl

Joined Jun 17, 2014
13,702
Hi everyone, I have this circuit in permanent sinusoidal regime
View attachment 305850


I have to find:

1)Instantaneous power of generator
2)Vc(t)
3)Prove the active power conservation
Help please
Hello,



Are you saying that the Ig(t) is a sine wave current generator?
Why are there parts enclosed A and B.

You are supposed to show your best attempt to solve this first in the Homework section really.
 

WBahn

Joined Mar 31, 2012
32,823
I guessing that "permanent sinusoidal regime" is what we normally refer to as "sinusoidal steady state".

I'm also assuming that Ig(t) is a sinusoidal current source.

Start by specifying the source in terms of amplitude and frequency. If nothing else, use

Ig(t) = Io*sin(wt)

Have you learned about phasor analysis yet (it might be called something different where you are)? That involves transforming the capacitor and inductor to an effective impedance (reactance) at whatever frequency the source is at. If you have, then do that and then apply the circuit analysis techniques you should already be familiar with.

If not, then you will need to set up the differential equation that describes the circuit and solve that.

In either case, we need to see your best attempt to get as far as you can before we can help you see where you are going wrong and help you move in the right direction.
 

MrAl

Joined Jun 17, 2014
13,702
Can someone tell me if this is correct and tell me how to complete the exercise please?
Hello,

I would help more but your writing is not neat enough to read quickly.
I would do it a different way, as it appears anyway. I would start by converting L to s*L and C to 1/(s*C) and leave R along, then calculate s*L in parallel with 1/(s*C)+R, then multiply by Ig. If you did something like that, then you could be correct. You should check your result in a simulator using some select values for L, C and R.
See if your results match with the simulation, then try a different set of L, C, and R.
 
Top