Inductance and Capacitance per Temperature

In summary, the relationship between transmission speed and temperature in a Transmission Cable is described by the equation v=\frac{1}{\sqrt{LC}} where L is the inductance per unit length and C is the capacitance per unit length. The expected changes in inductance and capacitance with temperature depend on the dielectric properties, but for common materials like PTFE, the change should be minimal within the range of 20-50 degrees Celsius. Data on these changes can also be found in datasheets for cables conforming to military specifications.
  • #1
americanforest
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I am studying the relationship between transmission speed in a Transmission Cable and the temperature of the cable. This speed is given by (as per discussion in the Feynman lectures)

[tex]v=\frac{1}{\sqrt{LC}}[/tex] where
  • [tex]L[/tex] is the inductance per unit length
  • [tex]C[/tex] is the capacitance per unit length

Does anyone know how the inductance and capacitance are expected to vary with temperature? The range examined in the experiment is approximately 20-50 degrees Celsius.
 
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  • #2
How much it will change basically depends on the properties of the dielectric (I am assuming you are referring to a coaxial cable).
The change should be very small assuming one of the more common dielectric is used, e.g. PTFE etc. I doubt creep will be much of an issue in such a small temperature range.

Also, if the range in question includes room temperature you should be able to find this data in a datasheet, they typically list data from -50 to +80 degrees C or so, at least if the cable conforms to military specs (and most coaxes do)
 
  • #3


I can provide some insights on the expected behavior of inductance and capacitance with changing temperature. Both inductance and capacitance are properties of a material or component that determine its ability to store and transmit electrical energy.

In general, the inductance of a material or component is expected to increase with an increase in temperature. This is because as temperature rises, the vibrations and movements of the atoms and molecules in the material increase, leading to a higher resistance to the flow of electrons. This in turn increases the inductance of the material.

On the other hand, the capacitance of a material or component is expected to decrease with an increase in temperature. This is because at higher temperatures, the atoms and molecules in the material have more energy and are able to move more freely, reducing the ability of the material to store electrical energy.

In your experiment, the range of temperatures being examined (20-50 degrees Celsius) is relatively small and may not result in significant changes in inductance and capacitance. However, it is important to keep in mind that the exact relationship between temperature and these properties may vary depending on the specific materials and components being used. Therefore, it is important to carefully monitor and measure these properties at different temperatures to accurately understand their behavior in your experiment.
 

Related to Inductance and Capacitance per Temperature

1. What is the relationship between inductance and temperature?

As temperature increases, the inductance of a material typically decreases. This is due to the increase in thermal energy, which causes the atoms and molecules in the material to vibrate more, disrupting the flow of current and reducing the inductance.

2. How does temperature affect the capacitance of a material?

The capacitance of a material typically increases with temperature. This is because the thermal energy causes the atoms and molecules to expand, creating more space between them and allowing for a greater separation of charge.

3. Are there materials that exhibit a constant inductance or capacitance regardless of temperature?

Yes, there are some materials known as "temperature-stable" materials that have a minimal change in inductance or capacitance over a wide temperature range. These materials are used in applications where precise control of inductance or capacitance is necessary, such as in electronic circuits.

4. Can temperature changes affect the performance of inductors and capacitors in electronic circuits?

Yes, temperature changes can significantly impact the performance of inductors and capacitors in electronic circuits. This is because the change in inductance and capacitance can alter the overall behavior of the circuit, leading to incorrect calculations and potential malfunctions.

5. How can the effects of temperature on inductance and capacitance be mitigated?

One way to mitigate the effects of temperature on inductance and capacitance is to use temperature compensation techniques. This involves designing the circuit with additional components or materials that counteract the changes in inductance and capacitance caused by temperature. Another approach is to use materials with minimal temperature dependence, such as temperature-stable materials.

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