Magnetic Effects Of Current Question 27
Question: A current i ampere flows in a circular arc of wire whose radius is R, which subtend an angle $ 3\pi /2 $ radian at its centre. The magnetic induction B at the centre is
Options:
A) $ \frac{{\mu_{0}}i}{R} $
B) $ \frac{{\mu_{0}}i}{2R} $
C) $ \frac{2{\mu_{0}}i}{R} $
D) $ \frac{3{\mu_{0}}i}{8R} $
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Answer:
Correct Answer: D
Solution:
$ B=\frac{{\mu_{0}}}{4\pi }\frac{(2\pi -\theta )i}{R}=\frac{{\mu_{0}}}{4\pi }\frac{( 2\pi -\frac{\pi }{2} )\times i}{R} $ $ =\frac{3{\mu_{0}}i}{8R} $
BETA
