Question

A rectangular loop of wire that is 54 cm wide and 27 cm long is placed in a region where the magnetic field is B = 0.2 T. Suppose the wire loop lies in the x–y plane and that the magnetic field makes an angle of 26° with the z axis. Find the magnitude of the magnetic flux.

Answer 1

The magnitude of the magnetic flux is 0.0262 Wb.

Step-by-step explanation:

Length of the rectangular loop,l = 54 cm = 0.54 m

Width of the rectangular loop, b = 27 cm = 0.27 m

It is placed in the magnetic field, B = 0.2 T

Suppose the wire loop lies in the x–y plane and that the magnetic field makes an angle of 26° with the z axis. The magnetic flux is given by :

`\phi =BA\cos\theta\\\\\phi =B(lb)\cos\theta\\\\\phi =0.2* 0.54* 0.27* \cos(26)\\\\\phi=0.0262\ Wb`

So, the magnitude of the magnetic flux is 0.0262 Wb. Hence, this is the required solution.