Engineering RLC Circuit (lab session doubt)

Click For Summary
The lab session focused on determining the self-inductance (L) of a solenoid using a high self-inductance solenoid to excite an RLC circuit, resulting in oscillatory damped tensions. The internal resistance of the function generator, which is 50 ohms, necessitates using a high inductance solenoid to avoid limiting current and ensure accurate measurements. The impedance from the generator and the solenoid creates a voltage divider effect, enhancing the voltage observed on the oscilloscope for better analysis. The formula T=sqrt(L*C) is used to calculate the period of oscillations, which is crucial for finding L. Understanding these principles is essential for successfully completing the lab assignment.
Phyba
Messages
9
Reaction score
0

Homework Statement


I have to answer a few questions about a lab session I did (university) and I'm really stuck with this one.
The objective of the lab session was to find the self inductance (L) of a solenoid.

In order to do that, I had a function generator exciting a solenoid with a high self-inductance coefficient. (see image)
sk.png

This one, at the same time, by magnetic coupling with the solenoid whose L we want to obtain, excites the RLC circuit, causing a transient response in the form of oscillatory damped tensions. We measured the period of those oscillations and with this formula
T=sqrt(L*C)

we can easily get the self-inductance L. No problem with that... Now, the question I'm having trouble with is the following
"Why do we use the high self-inductance solenoid instead of just connecting the function generator directly with the problem solenoid? Hint: Keep in mind that the internal resistance of the generator is 50 ohm "

I don't know why! :(

Homework Equations



T=sqrt(L*C)

The Attempt at a Solution


Perhaps it has something to do with limiting the current?

Thanks in advance!
 
Physics news on Phys.org
Phyba said:
Why do we use the high self-inductance solenoid instead of just connecting the function generator directly with the problem solenoid? Hint: Keep in mind that the internal resistance of the generator is 50 ohm
Do you know how to refer impedances from one side of a transformer to the other?

The internal impedance of the function generator and the impedance it sees from its terminals forms a voltage divider. If the two coils are tightly coupled and you have ##L \ll L_\mathrm{exc}##, then your system has a nice property in terms of the voltage that appears across the oscilloscope terminals.
 
Phyba said:
We measured the period of those oscillations and with this formula
T=sqrt(L*C)
I think you forgot a factor of 2π.
 

Similar threads

  • · Replies 4 ·
Replies
4
Views
718
  • · Replies 1 ·
Replies
1
Views
2K
Replies
19
Views
3K
  • · Replies 9 ·
Replies
9
Views
11K
  • · Replies 13 ·
Replies
13
Views
8K
  • · Replies 32 ·
2
Replies
32
Views
3K
  • · Replies 17 ·
Replies
17
Views
6K
  • · Replies 25 ·
Replies
25
Views
5K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K