A144-ω light bulb is connected to a conducting wire that is wrapped into the shape of a square with side length of 83.0 cm. this square loop is rotated within a uniform magnetic field of 454 mt. what is the change in magnetic flux through the loop when it rotates from a position where its area vector makes an angle of 30° with the field to a position where the area vector is parallel to the field?

0.04 Wb

Explanation:

The flux through the coil at a generic time t is given by

where

B = 454 mT = 0.454 T is the magnetic field intensity

A is the area of the coil

is the angle between the direction of the field B and the normal to the surface of the coil

The side length of the coil is

L = 83.0 cm = 0.83 m

so its area is

At the initial instant, the angle is

so the magnetic flux through the coil is

At the final instant, the angle is

so the magnetic flux through the coil is

So, the change in magnetic flux is

1= 26.17

2= 1.17

3=30.86

4=5.86

just took the assigment on edge

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