A coaxial cable consists of an inner wire of radius a surrounded by an outer shell of inner and outer radii b and c respectively. The inner wire carries an electric current i 0 which is distributed un

Question

A coaxial cable consists of an inner wire of radius $a$ surrounded by an outer shell of inner and outer radii $b$ and $c$ respectively. The inner wire carries an electric current $i_{0}$ which is distributed uniformly across cross-sectional area. The outer shell carries an equal current in opposite direction and distributed uniformly. What will be the ratio of the magnetic field at a distance $x$ from the axis when $(i)$ $x < a$ and $(i i)$ $a < x < b$ ?

Options:

Answer:

D

Solution:

$B_{1} \times 2 π x = \frac{μ_{0} I_{0} (x)^{2}}{a^{2}}$

$B_{2} \times 2 π x = μ_{0} I_{0}$

$\frac{B_{1}}{B_{2}} = \frac{x^{2}}{a^{2}}$

TestHub · Accepted Answer

B 1 × 2 π x = μ 0 I 0 ( x ) 2 a 2 B 2 × 2 π x = μ 0 I 0 B 1 B 2 = x 2 a 2

Physics - Magnetism Question with Solution | TestHub

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