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Q.

A long straight wire with a circular cross-section having radius R, is carrying a steady current I. The current I is uniformly distributed across this cross-section. Then the variation of magnetic field due to current I with distance r (r < R) from its centre will be :-

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a

B ∝r

b

B ∝ r2

c

B ∝1r2

d

B ∝ 1r

answer is B.

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Detailed Solution

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Use Ampere's law

B.2πr = μ0 . IπR2.πr2  

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B=μ0IR2r

 

Thus B ∝r

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