A cylinderical conductor of radius R is carrying a constant current. The plot of the magnitude of the magnetic field. B with the distane d from the centre of the conductor, is correctly represented by the figure :

Moving Charges and Magnetism question

2019 · Q145

Moving Charges and Magnetism question

2019 · Q145

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Correct answer: C

The magnetic field inside conductor is given as

B = ${{{\mu _0}} \over {2\pi }}{i \over {{R^2}}}d$

$\therefore$ B $\propto$ d

If, straight line passing through origin, at surface (d = R)

B = ${{{\mu _0}} \over {2\pi }}{i \over R}$

For the maximum B at outside surface (d > R)

B = ${{{\mu _0}} \over {2\pi }}{i \over d}$

$\Rightarrow$ B $\propto$ ${1 \over d}$

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Moving Charges and Magnetism question

2019 · Q145

Moving Charges and Magnetism question

2019 · Q145

View written solutionFree

Correct answer: C

The magnetic field inside conductor is given as

B = ${{{\mu _0}} \over {2\pi }}{i \over {{R^2}}}d$

$\therefore$ B $\propto$ d

If, straight line passing through origin, at surface (d = R)

B = ${{{\mu _0}} \over {2\pi }}{i \over R}$

For the maximum B at outside surface (d > R)

B = ${{{\mu _0}} \over {2\pi }}{i \over d}$

$\Rightarrow$ B $\propto$ ${1 \over d}$