Magnetic Effects Of Current Question 97
Question: A wire in the form of a square of side ?a? carries a current i. Then the magnetic induction at the centre of the square wire is (Magnetic permeability of free space = $ {\mu_{o}}) $ [EAMCET 2001]
Options:
A) $ \frac{{\mu_{0}}i}{2\pi a} $
B) $ \frac{{\mu_{0}}i\sqrt{2}}{\pi a} $
C) $ \frac{2\sqrt{2}{\mu_{o}}i}{\pi a} $
D) $ \frac{{\mu_{0}}i}{\sqrt{2}\pi ,a} $
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Answer:
Correct Answer: C
Solution:
$ B_{0}=4\times \frac{{\mu_{0}}}{4\pi }\times \frac{i}{( a/2 )}(\sin 45{}^\circ +\sin 45{}^\circ ) $ $ =4\times \frac{{\mu_{0}}}{4\pi }\times \frac{2i}{a}\times \frac{2}{\sqrt{2}} $ $ =\frac{{\mu_{0}}i2\sqrt{2}}{\pi a} $
BETA
