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  • A long straight wire of radius a carries a steady current I. The current is uniformly distributed over its cross-section. The ratio of the magnetic fields B and B', at radial distances a/2 and

A long straight wire of radius a carries a steady current I. The current is uniformly distributed over its cross-section. The ratio of the magnetic fields B and B', at radial distances a/2 and 2a respectively, from the axis of the wire is :

Option: 1

\frac{1}{4}


Option: 2

\frac{1}{2}


Option: 3

1


Option: 4

4


Answers (1)

best_answer

For points inside the wire i.e., (r, R) 

Magnetic field \mathrm{B=\frac{\mu_0 \mathrm{Ir}}{2 \pi \mathrm{R}^2}}

For points outside the wire \mathrm{(r~ R)}  Magnetic field,  \mathrm{B^{\prime}=\frac{\mu_0 I}{2 \pi R}} 
\mathrm{ \therefore \frac{B}{B^{\prime}}=\frac{\frac{\mu_0 1\left(\frac{a}{2}\right)}{2 \pi^2}}{\frac{\mu_0 1}{2 \pi(2 a)}}=1: 1 }

Posted by

Gaurav

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