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  • The current density inside a long, solid cylindrical wire of radius a is in the direction of the central axis and varies linearly with radial distance r from the axis according to J=Jo r/a . The ma

The current density inside a long, solid cylindrical wire of radius a is in the direction of the central axis and varies linearly with radial distance r from the axis according to J=Jo r/a . The magnetic field inside the wire as function of r is:

Option: 1

\mathrm{\frac{\mu_0 J_0 r}{3 a^3}}


Option: 2

\mathrm{\frac{\mu_0 J_0 r^2}{2 \pi a^3}}


Option: 3

\mathrm{\frac{\mu_0 \mathrm{~J}_0 r}{2 \pi a^3}}


Option: 4

\mathrm{\frac{\mu_0 \mathrm{~J}_0 r^2}{3 a}}


Answers (1)

best_answer

Use ampere law, Or integrate due to ring element having radius r,


\mathrm{ d B=\frac{\mu_0}{2 \mathrm{r}} \mathrm{dl} }

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Gunjita

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