A -turn rectangular coil with length and width is in a region with its axis initially aligned to a horizontally directed uniform magnetic field of mT and set to rotate about a vertical axis with an angular speed of rad/s. What is the maximum induced emf in the rotating coil? What is the induced emf in the rotating coil at ? What is the maximum rate of change of the magnetic flux through the rotating coil?

Complete Question

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The maximum emf is

The emf induced at t = 1.00 s is

The maximum rate of change of magnetic flux is  

Explanation:

    From the question we are told that

        The number of turns is N = 44 turns

          The length of the coil is  

          The width of the coil is  

          The magnetic field is  

          The angular speed is

Generally the induced emf is mathematically represented as

 Where is the maximum induced emf and this is mathematically represented as

Where is the magnetic flux

            N is the number of turns

             A is the area of the coil which is mathematically evaluated as

        Substituting values

substituting values into the equation for  maximum induced emf

 given that the time t = 1.0sec

substituting values into the equation for induced emf  

   The maximum induced emf can also be represented mathematically as

  Where   is the magnetic flux and is the maximum rate at which magnetic flux changes the value of the maximum rate of change of magnetic flux is