Question

The internal inductance $L_{int}$per unit-length of a solid cylindrical conductor is a constant, given byin SI system of units.

(a) True

(b) False

Short answer

Answer

Therefore, the correct option is (b)True

Step-by-step solution

Determine the formula of flux linkage inside the conductor.    

Write the formula of flux linkage inside the conductor.

${}^{\mathrm{\lambda }}\mathrm{int}=\frac{1}{2}\times {10}^{-7}\mathrm{I}\frac{\mathrm{H}}{\mathrm{M}}$

Here, is a current flowing through the conductor.

Determine the formula of internal inductance inside the conductor.

Write the formula of internal inductance inside the conductor.

${}^{\angle }\mathrm{int}=\frac{{}^{\mathrm{\lambda }}\mathrm{int}}{\mathrm{I}}$

Substitute the value and solve as,

$$\begin{gathered} {}^{\angle }\mathrm{int}=\frac{\frac{1}{2}\times {10}^{-7}\mathrm{I}\frac{\mathrm{H}}{\mathrm{M}}}{1} \\ \frac{1}{2}\times {10}^{-7}\mathrm{I}\frac{\mathrm{H}}{\mathrm{M}} \end{gathered}$$

Hence, correct option is (a) True.