MCQ
A long coaxial cable carries current $I$ (along its surface ). The current flows down the surface of inner cylinder of radius $a$ and back along the outer cylinder of radius $b$
  • A
    Energy stored in magnetic field per unit length is $\frac{{{\mu _0}{I^2}}}{{8\pi }}\ln \frac{b}{a}$
  • B
    Energy stored in magnetic field per unit length is $\frac{{{\mu _0}{I^2}}}{{2\pi }}\ln \frac{b}{a}$
  • Self inductance of given arrangement per unit length is $\frac{{{\mu _0}}}{{2\pi }}\ln \left( {\frac{b}{a}} \right)$
  • D
    Self inductance of given arrangement per unit length is $\frac{{{\mu _0}}}{{4\pi }}\ln \left( {\frac{b}{a}} \right)$

Answer

Correct option: C.
Self inductance of given arrangement per unit length is $\frac{{{\mu _0}}}{{2\pi }}\ln \left( {\frac{b}{a}} \right)$
c
$\mathrm{v}_{\mathrm{B}}-\mathrm{v}_{\mathrm{A}}=\mathrm{L} \frac{\mathrm{di}}{\mathrm{dt}} ; \mathrm{E}=\frac{1}{2} \mathrm{Li}^{2}$

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