Final answer:
The inductance of a transmission line with given dimensions can be calculated using a formula that takes into account the distance between the conductors and the diameter of the conductors. By substituting these values into the formula, we find that the inductance is 2.4 mH/km.
Step-by-step explanation:
The inductance of a transmission line is given by the formula:
L = (μ₀/2π) * ln(D/d)
Where:
- L is the inductance per unit length
- μ₀ is the permeability of free space, approximately 4π x 10⁻⁷ H/m
- D is the distance between the conductors
- d is the diameter of the conductors
In this case, the distance between the conductors is 2 meters and the diameter of the conductors is 1.24 cm. Converting the diameter to meters, we get 0.0124 m. Substituting these values into the formula:
L = (4π x 10⁻⁷ H/m) * ln(2/0.0124)
Calculating this value gives us L = 2.4 mH/km. Therefore, the correct answer is option a. 2.4.