Question

In a physics laboratory experiment, a coil with 170 turns enclosing an area of 10.9 cm2 is rotated during the time interval 3.50×10−2 s from a position in which its plane is perpendicular to Earth's magnetic field to one in which its plane is parallel to the field. The magnitude of Earth's magnetic field at the lab location is 5.60×10−5 T. What is the total magnitude of the magnetic flux (initial) through the coil before it is rotated?

Answer 1

$N= 170 turns\\A=10.9cm^2\\t=3.5*10^{-2}s \\\B = 5.6*10^{-5}T$

The Magnetic flow $\Phi_{initial}$ is given by the formula,

$\Phi_{Initial}=BAsin\theta$

Replacing the values

$\Phi_{Initial} =(5.6*10^{-5})(10.9)(\frac{10^{-4}m^2}{1cm^2}) sin90\°$

$\Phi_{Initial} =6.104*10^{-7} Wb$