Home |
Search |
Today's Posts |
#1
|
|||
|
|||
Tuned circuit Q question
The source is 50 ohms, I am feeding through a 1000 ohm resistor to
my tuned circuit at 30mhz, and the load is over 5000 ohms (FET input). I want to use a parallel resonant circuit to ground to form a pass filter. If I want a Q of around 5, would I need 5000 ohm XL/XC ?? This would seem nearly correct. Have I calculated correctly? |
#3
|
|||
|
|||
In article ,
says... In article , (gudmundur) writes: The source is 50 ohms, I am feeding through a 1000 ohm resistor to my tuned circuit at 30mhz, and the load is over 5000 ohms (FET input). I want to use a parallel resonant circuit to ground to form a pass filter. If I want a Q of around 5, would I need 5000 ohm XL/XC ?? This would seem nearly correct. Have I calculated correctly? Not quite. Loaded Q is dependent on ALL losses in parallel with a parallel-resonant circuit. If you want a Q of around 5 then the R:Xc or R:Xl ratio is 5. A problem seems to be the loading of the 50 Ohm source plus a series (?) resistance of 1000 Ohms. That alone puts 1050 Ohms in parallel with the resonant circuit. If the total parallel R is 1050 Ohms, the total from FET input and coil's own Q is 5000 Ohms, then the total parallel R will be 868 Ohms. The inductive reactance would have to be 1/5th of that or equivalent to 0.921 uHy. The Xl of 0.921 uHy is 173.6 Ohms at 30 MHz. The problem is compounded by using a series resistor to feed the parallel resistance. If the resonant circuit has a total parallel resistance of 5000 Ohms, the magnitude of the impedance is that value, 5000 Ohms. But, with a series resistance from the 50 Ohm source there's a power loss from the equivalent voltage divider action equal to 5:6 or about 1.6 db at 30 MHz resonance. It would be better to use another way to couple the 50 Ohm source, such as a tapped inductor. Tapping down at 1/10th of the turns has an approximate 1:100 impedance change which would transform the source to be about 5000 Ohms across the parallel L-C. That would change the needed inductance to get the loaded Q but there would be no extra losses involved. The new inductance value at resonance would be about 2.65 uHy for an Xl of 500 Ohms (1/5th of 5000 in parallel with 5000 Ohms). Note: At resonance (and only at that frequency), the impedance across the L-C is entirely resistive. At any other frequency it is a complex number (both R and jX). retired (from regular hours) electronic engineer person I see my error, the XL/XC is one fifth, not five times the R. I see this now in tank circuits where Q=10 R=2000 XL/XC=200. O.K., now I can calculate my parts. This is for a bandpass preselector, and loss is no problem, there is plenty of drive available. I just need some relative measure of if any power in the total signal level happens to be at 30mhz plus or minus about 250kc at perhaps a 3db slope. TNX KD3SH (WN3SOH-WB3BIO) |
#4
|
|||
|
|||
The loading on the resonator is 1050 ohms in parallel with 5000 ohms, which
is 868 ohms. A coil or capacitor reactance value that is 868 / 5 ohms (173.6 ohms) produces a Q of 5. The initial value of L is L = 173.6 / (2 * pi * 30MHz) = 0.92 uH An additional loading is due to the resonator itself, which is the product of the coil Q times coil reactance.Let's assume a coil Q of 200. The resistance value of the coil itself is Q * XL = 200*173.6 = 38720 ohms The resistance loading by the capacitor can usually be neglected if it is very small. The loading on the output side by the combination of the 5000 ohm load and the 38720 is 4428 ohms. Go back to the beginning and get a slightly revised value of the resistive loading = 849 ohms that includes the loading by the coil itself. Recalculate L and C for this slightly different value of loading. This iterative process can be stopped here. Connecting the 50 ohm source directly to the coil through a 1000 ohm resistor produces an additional power loss which is equal to 20 * log[(1000+4428) / 4428)] = 1.8 dB. This additional loss may not be acceptable in some applications. A low-loss coupling transformer (e.g. tapped coil) or low-loss tuned network is a better approach. Bill W0IYH "gudmundur" wrote in message ... The source is 50 ohms, I am feeding through a 1000 ohm resistor to my tuned circuit at 30mhz, and the load is over 5000 ohms (FET input). I want to use a parallel resonant circuit to ground to form a pass filter. If I want a Q of around 5, would I need 5000 ohm XL/XC ?? This would seem nearly correct. Have I calculated correctly? |
#5
|
|||
|
|||
Well. the 1050 ohm source in parrallel with the 5000 ohm load puts the resistance seen by the tank at around 867 ohms. The circuit reactances would need to be RL/Q = 174 ohms. I think you multiplied instead of divided. The calculations above assume that the Q of the elements that you use is large enough not to impact the calculations. You can calculate the equivilent parrallel resistance of the inductor you select, and add it in parrallel with the 867 ohms to assess the impact of a finite-Q inductor. Don |
#6
|
|||
|
|||
On Sat, 05 Feb 2005 15:42:57 GMT, "William E. Sabin"
wrote: The loading on the resonator is 1050 ohms in parallel with 5000 ohms, which is 868 ohms. A coil or capacitor reactance value that is 868 / 5 ohms (173.6 ohms) produces a Q of 5. The initial value of L is L = 173.6 / (2 * pi * 30MHz) = 0.92 uH An additional loading is due to the resonator itself, which is the product of the coil Q times coil reactance.Let's assume a coil Q of 200. The resistance value of the coil itself is Q * XL = 200*173.6 = 38720 ohms The resistance loading by the capacitor can usually be neglected if it is very small. The loading on the output side by the combination of the 5000 ohm load and the 38720 is 4428 ohms. Go back to the beginning and get a slightly revised value of the resistive loading = 849 ohms that includes the loading by the coil itself. Recalculate L and C for this slightly different value of loading. This iterative process can be stopped here. Connecting the 50 ohm source directly to the coil through a 1000 ohm resistor produces an additional power loss which is equal to 20 * log[(1000+4428) / 4428)] = 1.8 dB. This additional loss may not be acceptable in some applications. A low-loss coupling transformer (e.g. tapped coil) or low-loss tuned network is a better approach. Bill W0IYH interesting to see that you came to the same conclusion alltogether, but I believe it is another problem to make a coil with Q=200, usually the Q will be lower for readily available components, so the better way is to make the coil first, measure it and then start the calculation, hi 73 Jan-Martin, LA8AK --- J. M. Noeding, LA8AK, N-4623 Kristiansand http://home.online.no/~la8ak/c.htm |
#7
|
|||
|
|||
I have had no trouble with Q=200 coils. I have a Boonton Q meter that
verifies this when the correct core material (especially in a toroid) is used. At 30 MHz we do have to be somewhat persistent, though. Best regards, Bill W0IYH "J M Noeding" wrote in message ... On Sat, 05 Feb 2005 15:42:57 GMT, "William E. Sabin" wrote: The loading on the resonator is 1050 ohms in parallel with 5000 ohms, which is 868 ohms. A coil or capacitor reactance value that is 868 / 5 ohms (173.6 ohms) produces a Q of 5. The initial value of L is L = 173.6 / (2 * pi * 30MHz) = 0.92 uH An additional loading is due to the resonator itself, which is the product of the coil Q times coil reactance.Let's assume a coil Q of 200. The resistance value of the coil itself is Q * XL = 200*173.6 = 38720 ohms The resistance loading by the capacitor can usually be neglected if it is very small. The loading on the output side by the combination of the 5000 ohm load and the 38720 is 4428 ohms. Go back to the beginning and get a slightly revised value of the resistive loading = 849 ohms that includes the loading by the coil itself. Recalculate L and C for this slightly different value of loading. This iterative process can be stopped here. Connecting the 50 ohm source directly to the coil through a 1000 ohm resistor produces an additional power loss which is equal to 20 * log[(1000+4428) / 4428)] = 1.8 dB. This additional loss may not be acceptable in some applications. A low-loss coupling transformer (e.g. tapped coil) or low-loss tuned network is a better approach. Bill W0IYH interesting to see that you came to the same conclusion alltogether, but I believe it is another problem to make a coil with Q=200, usually the Q will be lower for readily available components, so the better way is to make the coil first, measure it and then start the calculation, hi 73 Jan-Martin, LA8AK --- J. M. Noeding, LA8AK, N-4623 Kristiansand http://home.online.no/~la8ak/c.htm |
#8
|
|||
|
|||
On Sun, 06 Feb 2005 12:46:05 GMT, "William E. Sabin"
wrote: I have had no trouble with Q=200 coils. I have a Boonton Q meter that verifies this when the correct core material (especially in a toroid) is used. At 30 MHz we do have to be somewhat persistent, though. Best regards, Bill W0IYH Bill, what I meant is that "when you want to make a coil with Q=200 - not 180 or 190" you may have to try some times if you haven't any experience from which materials gives at least Q=200, a higher Q may always be reduced to 200 with a resistor Yes, I have a Radiometer Q-meter - quite old, almost as old as yours, with thermionic tubes from the 30's and 50's, hi 73, jan-martin LA8AK --- J. M. Noeding, LA8AK, N-4623 Kristiansand http://home.online.no/~la8ak/c.htm |
#9
|
|||
|
|||
Yes, I agree. Thanks.
Bill W0IYH "J M Noeding" wrote in message ... On Sun, 06 Feb 2005 12:46:05 GMT, "William E. Sabin" wrote: I have had no trouble with Q=200 coils. I have a Boonton Q meter that verifies this when the correct core material (especially in a toroid) is used. At 30 MHz we do have to be somewhat persistent, though. Best regards, Bill W0IYH Bill, what I meant is that "when you want to make a coil with Q=200 - not 180 or 190" you may have to try some times if you haven't any experience from which materials gives at least Q=200, a higher Q may always be reduced to 200 with a resistor Yes, I have a Radiometer Q-meter - quite old, almost as old as yours, with thermionic tubes from the 30's and 50's, hi 73, jan-martin LA8AK --- J. M. Noeding, LA8AK, N-4623 Kristiansand http://home.online.no/~la8ak/c.htm |
Reply |
Thread Tools | Search this Thread |
Display Modes | |
|
|
Similar Threads | ||||
Thread | Forum | |||
Interesting question | CB | |||
Question about Sirius Satellite Radio Antenna | Broadcasting | |||
Address the issues, Skippy! Repost #3 | CB | |||
Question regarding police tactics and scanners | Scanner |