The velocity factor of a transmission line `x`. If dielectric constant of the medium is `2.6`,

Options

A. 0.26
B. 0.62
C. 2.6
D. 6.2

Explanation

To find the velocity factor of a transmission line given the dielectric constant of the medium, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Formula**: The velocity factor \( v_f \) of a transmission line in a medium with dielectric constant \( k \) is given by the formula:
\[ v_f = \frac{1}{\sqrt{k}} \]

2. **Identify the Given Values**: From the question, we know that the dielectric constant \( k \) is given as \( 2.6 \).

3. **Substitute the Value into the Formula**: Now, we substitute the value of \( k \) into the formula:
\[ v_f = \frac{1}{\sqrt{2.6}} \]

4. **Calculate the Square Root**: First, we need to calculate \( \sqrt{2.6} \):
\[ \sqrt{2.6} \approx 1.612 \]

5. **Calculate the Velocity Factor**: Now, we can find \( v_f \):
\[ v_f = \frac{1}{1.612} \approx 0.620 \]

6. **Final Result**: Therefore, the velocity factor of the transmission line \( x \) is approximately:
\[ v_f \approx 0.62 \]

### Conclusion:
The velocity factor of the transmission line \( x \) is \( 0.62 \).

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