A tightly wound 100 turns coil of radius 10 cm carries a current of 7 A . The magnitude of the magnetic…

A tightly wound 100 turns coil of radius 10 cm carries a current of 7 A . The magnitude of the magnetic field at the centre of the coil is (Take permeability of free space as $4 \pi \times 10^{-7}$ SI units):
  1. 4.4 T
  2. 4.4 mT
  3. 44 T
  4. 44 mT

Solution

The magnitude of magnetic field due to circular coil of $N$ turns is given by $\begin{aligned} & B_C=\frac{\mu_0 i N}{2 R} \\ & =\frac{4 \pi \times 10^{-7} \times 7 \times 100}{2 \times 0.1} \\ & =4.4 \times 10^{-3} \mathrm{~T} \\ & =4.4 \mathrm{mT} \end{aligned}$

Asked in: NEET 2024

Practice more Magnetic Fields due to Electric Current questions on Aicharya