Magnetic Effects Of Current Question 40

Question: In the above question, the magnetic induction at O due to the whole length of the conductor is [MP PMT/PET 1998; RPET 2002]

Options:

A) $ \frac{{\mu_{0}}i}{r} $

B) $ \frac{{\mu_{0}}i}{2r} $

C) $ \frac{{\mu_{0}}i}{4r} $

D) Zero

Show Answer

Answer:

Correct Answer: C

Solution:

The induction due to $ AB $ and $ CD $ will be zero. Hence the whole induction will be due to the semicircular part $ BC $ . $ B=\frac{{\mu_{o}}i}{4r} $