Match the List-I with List-II. For a coaxial cable in which the dielectric has inner radius 'a' and outer radius 'b' where σ is conductivity.
56. Match the List-I with List-II. For a coaxial cable in which the dielectric has inner radius 'a' and outer radius 'b' where σ is conductivity.
List-I
(Transmission line parameter)
- (a) Capacitance per unit length
- (b) Conductance per unit length
- (c) Inductance per unit length
- (d) Characteristic Impedance
List-II
(Expression)
- \( \frac{2\pi\epsilon}{\ln\left(\frac{b}{a}\right)} \)
- \( \frac{1}{2\pi}\sqrt{\frac{\mu}{\epsilon}}\ln\left(\frac{b}{a}\right) \)
- \( \frac{2\pi\sigma}{\ln\left(\frac{b}{a}\right)} \)
- \( \frac{\mu}{2\pi}\ln\left(\frac{b}{a}\right) \)
Choose the correct answer from the options given below:
| (a) | (b) | (c) | (d) | |
| A. | II | I | III | IV |
| B. | III | I | IV | II |
| C. | IV | I | II | III |
| D. | I | III | IV | II |