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On 10/31/2015 6:01 AM, Jeff wrote:
Glass is used as a dielectric in high quality low loss RF capacitors so I suspect that it would be usable in a home-made one. Doesn't necessarily follow. The loss tangent of glass is low to very low so it won't heat up much in use. But the important part is the change in Er with temperature as I explain. In fixed value caps changes in capacitance of a few percent are usually not a problem. But in this application tuning of the circuit may be very critical and require a much higher degree of stability. I am also looking at alumina ceramics. The properties vary with composition, but there are composites with very high stability numbers. They usually are in a materials data sheet rather than in a product offered for sale. Seems a lot of ceramics are custom items. I think the change of Er with temperature is the least of your worries when talking about a tuning capacitor for a magnetic loop. The change of capacitance due to mechanical changes in the plates is likely to be at least an order of magnitude greater than the dielectric changes. I wonder about that. I know metals have a high tempco of expansion and this will make changes in the capacitance. I haven't analyzed it to see how significant that would be. So let me give it a try. Expansion of the air gapped metal capacitor will have two opposing effects. Enlargement of the plate surface area will increase the area and so increase capacitance by the square of the tempco of the metal. Enlargement of the spacing will decrease capacitance directly by the tempco of the metal assuming the spacers are the same material. The net effect will be to increase the capacitance in direct proportion to the tempco of the metal. Using a dielectric would reduce the effect of the plate spacing on capacitance to a very small value since most of the capacitance will be due to the material and much less to any air gap remaining. So it would return the overall effect on the capacitance to the square of the expansion tempco. Does that sound right? In other words, it would be good if the dielectric had an effect that was opposite to the effect of the metal tempco. I'll meed to consider that as I search for materials. -- Rick |
#2
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rickman wrote:
On 10/31/2015 6:01 AM, Jeff wrote: Glass is used as a dielectric in high quality low loss RF capacitors so I suspect that it would be usable in a home-made one. Doesn't necessarily follow. The loss tangent of glass is low to very low so it won't heat up much in use. But the important part is the change in Er with temperature as I explain. In fixed value caps changes in capacitance of a few percent are usually not a problem. But in this application tuning of the circuit may be very critical and require a much higher degree of stability. I am also looking at alumina ceramics. The properties vary with composition, but there are composites with very high stability numbers. They usually are in a materials data sheet rather than in a product offered for sale. Seems a lot of ceramics are custom items. I think the change of Er with temperature is the least of your worries when talking about a tuning capacitor for a magnetic loop. The change of capacitance due to mechanical changes in the plates is likely to be at least an order of magnitude greater than the dielectric changes. I wonder about that. I know metals have a high tempco of expansion and this will make changes in the capacitance. I haven't analyzed it to see how significant that would be. So let me give it a try. Expansion of the air gapped metal capacitor will have two opposing effects. Enlargement of the plate surface area will increase the area and so increase capacitance by the square of the tempco of the metal. Enlargement of the spacing will decrease capacitance directly by the tempco of the metal assuming the spacers are the same material. The net effect will be to increase the capacitance in direct proportion to the tempco of the metal. Using a dielectric would reduce the effect of the plate spacing on capacitance to a very small value since most of the capacitance will be due to the material and much less to any air gap remaining. So it would return the overall effect on the capacitance to the square of the expansion tempco. Does that sound right? In other words, it would be good if the dielectric had an effect that was opposite to the effect of the metal tempco. I'll meed to consider that as I search for materials. An aluminum plate 6 inches square at 75 F heated to 200 F changes dimensions by 0.0092 inches. For plate glass the change is 0.0031 inches. I will leave it to you to calculate how much that will change capacitance. http://www.engineeringtoolbox.com/li...on-d_1379.html -- Jim Pennino |
#4
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rickman wrote:
On 10/31/2015 7:39 PM, wrote: rickman wrote: On 10/31/2015 6:01 AM, Jeff wrote: Glass is used as a dielectric in high quality low loss RF capacitors so I suspect that it would be usable in a home-made one. Doesn't necessarily follow. The loss tangent of glass is low to very low so it won't heat up much in use. But the important part is the change in Er with temperature as I explain. In fixed value caps changes in capacitance of a few percent are usually not a problem. But in this application tuning of the circuit may be very critical and require a much higher degree of stability. I am also looking at alumina ceramics. The properties vary with composition, but there are composites with very high stability numbers. They usually are in a materials data sheet rather than in a product offered for sale. Seems a lot of ceramics are custom items. I think the change of Er with temperature is the least of your worries when talking about a tuning capacitor for a magnetic loop. The change of capacitance due to mechanical changes in the plates is likely to be at least an order of magnitude greater than the dielectric changes. I wonder about that. I know metals have a high tempco of expansion and this will make changes in the capacitance. I haven't analyzed it to see how significant that would be. So let me give it a try. Expansion of the air gapped metal capacitor will have two opposing effects. Enlargement of the plate surface area will increase the area and so increase capacitance by the square of the tempco of the metal. Enlargement of the spacing will decrease capacitance directly by the tempco of the metal assuming the spacers are the same material. The net effect will be to increase the capacitance in direct proportion to the tempco of the metal. Using a dielectric would reduce the effect of the plate spacing on capacitance to a very small value since most of the capacitance will be due to the material and much less to any air gap remaining. So it would return the overall effect on the capacitance to the square of the expansion tempco. Does that sound right? In other words, it would be good if the dielectric had an effect that was opposite to the effect of the metal tempco. I'll meed to consider that as I search for materials. An aluminum plate 6 inches square at 75 F heated to 200 F changes dimensions by 0.0092 inches. For plate glass the change is 0.0031 inches. I will leave it to you to calculate how much that will change capacitance. http://www.engineeringtoolbox.com/li...on-d_1379.html Did you have a point? It should be obvious, but since it is not, any change in capacitance due to thermal expansion is going to be miniscule for a capacitor large enough to withstand kilovolts. -- Jim Pennino |
#5
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On 11/1/2015 12:05 PM, wrote:
rickman wrote: On 10/31/2015 7:39 PM, wrote: rickman wrote: On 10/31/2015 6:01 AM, Jeff wrote: Glass is used as a dielectric in high quality low loss RF capacitors so I suspect that it would be usable in a home-made one. Doesn't necessarily follow. The loss tangent of glass is low to very low so it won't heat up much in use. But the important part is the change in Er with temperature as I explain. In fixed value caps changes in capacitance of a few percent are usually not a problem. But in this application tuning of the circuit may be very critical and require a much higher degree of stability. I am also looking at alumina ceramics. The properties vary with composition, but there are composites with very high stability numbers. They usually are in a materials data sheet rather than in a product offered for sale. Seems a lot of ceramics are custom items. I think the change of Er with temperature is the least of your worries when talking about a tuning capacitor for a magnetic loop. The change of capacitance due to mechanical changes in the plates is likely to be at least an order of magnitude greater than the dielectric changes. I wonder about that. I know metals have a high tempco of expansion and this will make changes in the capacitance. I haven't analyzed it to see how significant that would be. So let me give it a try. Expansion of the air gapped metal capacitor will have two opposing effects. Enlargement of the plate surface area will increase the area and so increase capacitance by the square of the tempco of the metal. Enlargement of the spacing will decrease capacitance directly by the tempco of the metal assuming the spacers are the same material. The net effect will be to increase the capacitance in direct proportion to the tempco of the metal. Using a dielectric would reduce the effect of the plate spacing on capacitance to a very small value since most of the capacitance will be due to the material and much less to any air gap remaining. So it would return the overall effect on the capacitance to the square of the expansion tempco. Does that sound right? In other words, it would be good if the dielectric had an effect that was opposite to the effect of the metal tempco. I'll meed to consider that as I search for materials. An aluminum plate 6 inches square at 75 F heated to 200 F changes dimensions by 0.0092 inches. For plate glass the change is 0.0031 inches. I will leave it to you to calculate how much that will change capacitance. http://www.engineeringtoolbox.com/li...on-d_1379.html Did you have a point? It should be obvious, but since it is not, any change in capacitance due to thermal expansion is going to be miniscule for a capacitor large enough to withstand kilovolts. I don't know what you consider to be "miniscule". I also don't see how the voltage matters. I believe I have already posted that without considering fringe effects, but only the first order effects of plate area and spacing, the end result is a linear change in capacitance with temperature according to the temperature coefficient. When I run the numbers I get around 370 PPM for a 30°F rise with aluminum or closer to 277 PPM for the same rise with copper (I haven't seen a copper tuning capacitor though). It appears the temperature effect on the loop inductance is larger at 413 PPM for aluminum and 309 PPM for copper. These numbers may not be spot on because I used a handy calculator for the inductance which may not have considered the diameter of the conductor, most loops are wide material. These two effects augment to feed the equation for resonant frequency which uses the square root of the product resulting in 391 PPM for an all aluminum system or 340 PPM for a system with a copper loop and aluminum cap. This is enough to impact the tuning of a high Q antenna to give more than a 3 dB drop over the course of a day. Over the course of a year some locations will see a change of 50°C or a three fold greater change. That would easily be enough to disrupt an auto-tuner and require recalibration. Do you get significantly different numbers? If a dielectric were chosen with a slight negative temperature coefficient, it could offset the natural drift of the antenna tuning bringing it closer to zero. -- Rick |
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