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} $ ยค $ B_{3}=\frac{{\mu_{0}}}{4\pi }.\frac{i}{r} $ ยค
$ \therefore \ B_{net}=B_{2}+B_{3}=\frac{{\mu_{0}}i}{4r}+\frac{{\mu_{0}}i}{4\pi r} $