Magnetic Effects Of Current Question 105

Question: A long straight wire carries a current of $ \pi ,amp. $ The magnetic field due to it will be $ 5\times {{10}^{-5}}weber/{{m}^{\text{2}}} $ at what distance from the wire $ [{\mu_{o}}= $ permeability of air] [MP PMT 2002]

Options:

A) $ 10^{4}{\mu_{o}} $ metre

B) $ \frac{10^{4}}{{\mu_{o}}} $ metre

C) $ 10^{6}{\mu_{o}} $ metre

D) $ \frac{10^{6}}{{\mu_{o}}} $ metre

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Answer:

Correct Answer: A

Solution:

$ B=\frac{{\mu_{0}}}{2\pi }\frac{i}{r}\Rightarrow 5\times {{10}^{-5}}=\frac{{\mu_{0}}}{2\pi }\times \frac{\pi }{r}\Rightarrow r=10^{4}{\mu_{0}}\ metre $