Magnetic Effects Of Current Question 117

Question: In the figure, what is the magnetic field at the point O [MP PMT 2004]

Options:

A) $ \frac{{\mu_{0}}I}{4\pi r} $

B) $ \frac{{\mu_{0}}I}{4\pi r}+\frac{{\mu_{0}}I}{2\pi r} $

C) $ \frac{{\mu_{0}}I}{4r}+\frac{{\mu_{0}}I}{4\pi r} $

D) $ \frac{{\mu_{0}}I}{4r}-\frac{{\mu_{0}}I}{4\pi r} $

Show Answer

Answer:

Correct Answer: C

Solution:

Magnetic field due to different parts are B1 = 0 $ B_{2}=\frac{{\mu_{0}}}{4\pi }.\frac{\pi i}{r} $ ¤ $ B_{3}=\frac{{\mu_{0}}}{4\pi }.\frac{i}{r} $ ¤
$ \therefore \ B_{net}=B_{2}+B_{3}=\frac{{\mu_{0}}i}{4r}+\frac{{\mu_{0}}i}{4\pi r} $



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