Question

Problem 5

Answer 1

Given information

The magnetic field of the loop is 1.5 T.

The time taken to rotate the loop is 0.20 s.

The diameter of the loop is 18.5 cm.

 

Step-by-step explanation

Step 1.

Formula Used:

The area of the circular loop is,

 

Here, r is the radius of the loop.

The relation between the radius and the diameter is as follows:

 

Here, d is the diameter.

The magnetic flux through the circular lop is as follows:

 

Here, B is the magnetic field, A is the area, and  is the angle between the area and the magnetic field vector.

The expression for the EMF is as follows:

 

Here, is the change in the flux and is the change in time.

Therefore, the equation  is rewritten as follows:

 

Here, is the flux in the final position and  is the flux in the initial situation.

Therefore,

 

Here,  is the initial angle.

And,

 

Here, is the final angle.