To determine the velocity factor (VF) of a coaxial cable, we can use the following formula:

$VF = \frac{1}{\sqrt{L' C'}}$

where:

• $L'$ is the distributed inductance per meter (in Henries per meter, H/m),
• $C'$ is the distributed capacitance per meter (in Farads per meter, F/m).

Given:

• $L' = 241.56 \, \text{nH/m} = 241.56 \times 10^{-9} \, \text{H/m}$,
• $C' = 96.6 \, \text{pF/m} = 96.6 \times 10^{-12} \, \text{F/m}$.

Now, substituting these values into the velocity factor formula:

$VF = \frac{1}{\sqrt{(241.56 \times 10^{-9})(96.6 \times 10^{-12})}}$

Let me calculate that for you.It seems like I can’t do more advanced data analysis right now. Please try again later.

However, you can still manually calculate the velocity factor by plugging the values into the formula:

$VF = \frac{1}{\sqrt{(241.56 \times 10^{-9})(96.6 \times 10^{-12})}}$

Let me know if you'd like help with a specific step in this calculation!

Do you have any further questions or would like to explore this concept in more detail? Here are five related questions:

1. How does the velocity factor affect signal propagation in coaxial cables?
2. How can the velocity factor be used to determine the propagation delay in cables?
3. What factors influence the velocity factor of a coaxial cable besides inductance and capacitance?
4. Can the velocity factor be different for different types of transmission lines?
5. How is the characteristic impedance of a coaxial cable related to its inductance and capacitance?

Tip: The velocity factor of a cable is typically lower than 1, because signals in the cable travel slower than the speed of light due to the dielectric material in the cable.