Magnetic Effects Of Current Question 63
Question: An arc of a circle of radius R subtends an angle $ \frac{\pi }{2} $ at the centre. It carries a current i. The magnetic field at the centre will be [MP PET 2003]
Options:
A) $ \frac{{\mu_{0}}i}{2R} $
B) $ \frac{{\mu_{0}}i}{8R} $
C) $ \frac{{\mu_{0}}i}{4R} $
D) $ \frac{2{\mu_{0}}i}{5R} $
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Answer:
Correct Answer: B
Solution:
$ B=\frac{{\mu_{0}}}{4\pi }\frac{\theta i}{r}=\frac{{\mu_{0}}}{4\pi }\times \frac{\pi }{2}\times \frac{i}{R}=\frac{{\mu_{0}}i}{8R} $
BETA
