Question

An insulator used in a transmission line has dielectric constant equal to \(0.25\) What is the velocity factor of the transmission line ? (A) \((4 / 3)\) (B) 2 (C) \((3 / 2)\) (D) 4

Short answer

The velocity factor of the transmission line is 2, which is found by calculating the reciprocal of the square root of the dielectric constant (0.25). Therefore, the correct answer is (B) 2.

Step-by-step solution

Calculate the square root of the dielectric constant

Since dielectric constant = 0.25, we'll take the square root to get the reciprocal of the velocity factor: \[\sqrt{0.25} = \frac{1}{2}\]

Find the reciprocal of the square root of the dielectric constant

We'll now find the reciprocal of the obtained value: \[\frac{1}{\frac{1}{2}} = 2\]

Choose the correct answer from the options

Compare the calculated value to the provided options: (A) \((4 / 3)\) (B) 2 (C) \((3 / 2)\) (D) 4 The correct answer is (B) 2, as the velocity factor of the transmission line is 2.