An infinitely long hollow conducting cylinder with inner radius R /...

An infinitely long hollow conducting cylinder with inner radius

R / 2

and outer radius

R

carries a uniform current density along its length. The magnitude of the magnetic field,

|\vec{B}|

as a function of the radial distance

r

from the axis is best represented by An infinitely long hollow conducting cylinder with inner radius R / 2 and outer radius R carries a uniform current

An infinitely long hollow conducting cylinder with inner radius R / 2 and outer radius R carries a uniform current

Options

Correct answer

D. The major product U in the following reactions is

Step-by-step solution

For

r < \frac{R}{2}, \quad B=0

\begin{array}{l} \text{ For } \frac{R}{2} \leq r < R, \\ B=\frac{\mu_{0}}{2}\left[r-\frac{R^{2}}{2 r}\right] J \end{array}

\begin{array}{l} \text{ For } r>R, \quad B=\frac{\mu_{0} i}{2 \pi r} \\ \text{ i.e., } B \propto \frac{1}{r} \end{array}

Hence graph

(d)

correctly depicts

|\vec{B}|

versus

r

graph.

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