Find Resonator/Oscillator Capacitance/Inductance at 1 MHz

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Discussion Overview

The discussion revolves around determining the capacitance and inductance values for a resonator or oscillator operating at a frequency of 1 MHz. Participants explore theoretical and practical aspects related to RLC circuits and resonance.

Discussion Character

  • Exploratory, Technical explanation, Homework-related

Main Points Raised

  • One participant requests assistance in finding the capacitance and inductance for a 1 MHz resonator/oscillator.
  • Another participant references a Wikipedia article on resonance frequency, suggesting it as a resource.
  • A different participant proposes starting with an assumption about either capacitance, inductance, or their reactance to solve for the others at resonance.
  • Participants provide specific values for inductance and capacitance combinations that could work at 1 MHz, including examples like 16 µH with 1592 pF and 24 µH with 1061 pF.
  • One participant mentions a program that can calculate suitable L and C values based on a set reactance, emphasizing the importance of unit accuracy.
  • Another participant notes that finding suitable inductors can be challenging, mentioning a specific application involving a ferrite rod antenna in transistor radios that resonates at 1 MHz with about 200 pF.

Areas of Agreement / Disagreement

Participants present various values and methods for calculating capacitance and inductance, but there is no consensus on a single solution or approach. The discussion remains open with multiple suggestions and assumptions.

Contextual Notes

Assumptions regarding the values of capacitance and inductance are necessary for calculations, and the discussion includes various proposed values without resolving which is most appropriate.

AskTheGenius
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hi guys,

can someone tell me the capacitance and inductance for a 1 MHz resonator/oscillator

thanks,
your neighborhood genius
 

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Engineering news on Phys.org
http://en.wikipedia.org/wiki/RLC_circuit" It's under resonance frequency.
 
Last edited by a moderator:
You'll have to start with an assumption. Assume one of the following three, and you can solve for the others:

C
L
X of C and L

At resonance, Xc = XL = 2*pi*f*L = 1/2*pi*f*C
 
You could try these:

16 uH... 1592 pF

24 uH ... 1061 pF

32 uH ... 796 pF

Try to download the following program:
https://www.physicsforums.com/attachment.php?attachmentid=18761&d=1241430510

I set the reactance to about 200 ohms and let the program work out suitable L and C values.
Watch the units.

Then the hard part is finding suitable inductors. The ferrite rod antenna in transistor radios resonates at 1 MHz with about 200 pF.
 
AskTheGenius said:
hi guys,

can someone tell me the capacitance and inductance for a 1 MHz resonator/oscillator

thanks,
your neighborhood genius

Welcome to the PF, Ask. What'cha making?
 

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