Magnetic Effects Of Current Question 75

Question: The magnetic field at the centre of current carrying coil is [CPMT 1996; RPET 2002, 03]

Options:

A) $ \frac{{\mu_{0}}ni}{2r} $

B) $ \frac{{\mu_{0}}}{2\pi }\frac{ni}{r} $

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

D) $ {\mu_{0}}ni $

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Answer:

Correct Answer: A

Solution:

Magnetic field at the centre of current carrying coil is $ B=\frac{{\mu_{0}}}{4\pi }\cdot \frac{2\pi ni}{r}=\frac{{\mu_{0}}ni}{2r} $