Magnetic Effects Of Current Question 35

Question: A current of 0.1 A circulates around a coil of 100 turns and having a radius equal to 5 cm. The magnetic field set up at the centre of the coil is $ ({\mu_{0}}=4\pi \times {{10}^{-7}},weber/ampere-metre) $ [MP PMT 1993]

Options:

A) $ 4\pi \times {{10}^{-5}},tesla $

B) $ 8\pi \times {{10}^{-5}},tesla $

C) $ 4\times {{10}^{-5}},tesla $

D) $ 2\times {{10}^{-5}},tesla $

Show Answer

Answer:

Correct Answer: A

Solution:

$ B=\frac{{\mu_{0}}Ni}{2r}=\frac{4\pi \times {{10}^{-7}}\times 100\times 0.1}{2\times 5\times {{10}^{-2}}} $ $ =4\pi \times {{10}^{-5}} $ Tesla