RLC Circuit (lab session doubt)

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SUMMARY

The discussion centers on the use of a high self-inductance solenoid in an RLC circuit experiment to measure the self-inductance (L) of another solenoid. The function generator, with an internal resistance of 50 ohms, is connected to the high self-inductance solenoid to create a magnetic coupling, which excites the RLC circuit and produces a damped oscillatory response. This setup allows for accurate measurement of the oscillation period, which is calculated using the formula T=sqrt(L*C). The choice of the high self-inductance solenoid is crucial for minimizing current limitations and optimizing voltage readings across the oscilloscope.

PREREQUISITES
  • Understanding of RLC circuits and their components
  • Familiarity with self-inductance and its measurement
  • Knowledge of function generators and their internal resistance
  • Basic principles of magnetic coupling in electrical circuits
NEXT STEPS
  • Study the principles of magnetic coupling in RLC circuits
  • Learn about impedance matching and voltage dividers in circuit design
  • Explore advanced topics in oscillatory motion and damping in electrical systems
  • Investigate the effects of varying self-inductance in solenoids on circuit behavior
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Students in electrical engineering, lab instructors conducting experiments on inductance, and anyone interested in the practical applications of RLC circuits in measuring electrical properties.

Phyba
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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!
 
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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.
 

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