Magnetic Effects Of Current Question 109

Question: A part of a long wire carrying a current i is bent into a circle of radius r as shown in figure. The net magnetic field at the centre O of the circular loop is [UPSEAT 2002]

Options:

A) $ \frac{{\mu_{o}}i}{4r} $

B) $ \frac{{\mu_{o}}i}{2r} $

C) $ \frac{{\mu_{o}}i}{2\pi r}(\pi +1) $

D) $ \frac{{\mu_{o}}i}{2\pi r}(\pi -1) $

Show Answer

Answer:

Correct Answer: C

Solution:

The given circuit can be considered as follows $ {B_{\text{loop}}}=\frac{{\mu_{0}}i}{2r} $ ยค $ {B_{\text{conductor}}}=\frac{{\mu_{0}}i}{2\pi r} $ ยค $ {B_{\text{net}}}=\frac{{\mu_{0}}i}{2\pi r}(\pi +1) $ ยค



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