Magnetic Effects Of Current Question 433

Question: The magnetic field at point ‘C’ due to current flowing in ‘M’ shape figure is

Options:

A) $ \frac{{\mu_{0}}}{2\pi }.\frac{\sqrt{3}i}{\ell } $

B) $ \frac{{\mu_{0}}}{\pi }.\frac{i}{\ell }\sqrt{3} $

C) zero

D) $ \frac{{\mu_{0}}}{4\pi }.\frac{i}{\ell \sqrt{3}} $

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Answer:

Correct Answer: B

Solution:

[b] B due to $ AB=\frac{{\mu_{0}}}{4\pi }\frac{i}{d}[ \sqrt{3} ] $ $ =\frac{{\mu_{0}}}{4\pi }\frac{i}{\ell /2}[ \sqrt{3} ]=\frac{{\mu_{0}}i}{4\pi \ell }2\sqrt{3} $ Net magnetic field $ =\frac{{\mu_{0}}}{2\pi }\frac{i}{\ell }\sqrt{3}\times 2=\frac{{\mu_{0}}}{\pi }\frac{i}{\ell }\sqrt{3} $