Magnetic Effects Of Current Question 86

Question: A circular loop of radius 0.0157m carries a current of 2.0 amp. The magnetic field at the centre of the loop is $ ({\mu_{0}}=4\pi \times {{10}^{-7}},weber/amp-m) $ [MP PET 2000]

Options:

A) $ \text{1}\text{.57}\times \text{10}{{}^{\text{-5}}},weber/m^{2} $

B) $ 8.0\times \text{10}{{}^{\text{-5}}},weber/m^{2} $

C) $ 2.5\times \text{10}{{}^{\text{-5}}},weber/m^{2} $

D) $ \text{3}.14\times \text{10}{{}^{\text{-5}}},weber/m^{2} $

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Answer:

Correct Answer: B

Solution:

$ B=\frac{{\mu_{0}}}{4\pi }\frac{2\pi i}{r}={{10}^{-7}}\times \frac{2\pi \times 2}{0.0157}=8\times {{10}^{-5}}Wb/m^{2} $