Magnetic Effects Of Current Question 99

Question: A current of 0.1 A circulates around a coil of 100 turns and having a radius equal to 5cm. The magnetic field set up at the centre of the coil is (m0 = 4p ´ 10?7 weber/amp-metre) [DPMT 2002]

Options:

A) 2 ´ 10?5 Tesla

B) 4 ´ 10?5 Tesla

C) 8p ´ 10?5 Tesla

D) 4p ´ 10?5 Tesla

Show Answer

Answer:

Correct Answer: D

Solution:

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