Question

Plot the variation of magnetic field due to a straight conductor of uniform cross section of radius a and carrying a steady current with distance r , in the region r a.

Answer 1

Answer:

Let the current density in the wire be j.

From ampere's law, field inside the wire is given by

μ

0

(jπr

2

)=B(2πr)

⟹B=

2

μ

0

jr

So it varies linearly upto a.

From ampere's law, field outside the wire is given by

μ

0

(jπa

2

)=B(2πr)

⟹B=

2r

μ

0

ja

2

Explanation:

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