Magnetic Effects Of Current Question 57

Question: Due to 10 ampere of current flowing in a circular coil of 10 cm radius, the magnetic field produced at its centre is $ 3.14\times {{10}^{-3}},Weber/m^{2} $ . The number of turns in the coil will be [MP PET 1996]

Options:

A) 5000

B) 100

C) 50

D) 25

Show Answer

Answer:

Correct Answer: C

Solution:

$ B=\frac{{\mu_{0}}}{4\pi }\cdot \frac{2\pi Ni}{r} $

Þ $ 3.14\times {{10}^{-3}}=\frac{{{10}^{-7}}\times 2\times 3.14\times N\times 10}{(10\times {{10}^{-2}})} $

Þ $ N=50 $