Question

What must the current in the coil be if the magnetic field at the center of the coil is 0.0770 TT ? Express your answer to three significant figures and include the appropriate units.

Answer 1

Answer:

The current in the coil be 3.67 A  

Explanation:

A closely wound, circular coil with radius 2.40 cm has 800 turns. We need to find the current in the coil be if the magnetic field at the center of the coil is 0.0770 T. The magnetic field due to a circular coil is given by :

        $B=\dfrac{\mu_oNI}{2r}$                                      

        $I=\dfrac{2Br}{\mu_oN}$

      $I=\dfrac{2\times 0.077\times 2.4\times 10^{-2}}{4\pi \times 10^{-7}\times 800}$

      $I=3.67\ A$

So, the current in the coil be 3.67 A. Hence, this is the required solution.