A circular loop of wire has radius of 9.50 cmcm. A sinusoidal electromagnetic plane wave traveling in air passes through the loop, with the direction of the magnetic field of the wave perpendicular to the plane of the loop. The intensity of the wave at the location of the loop is 0.0215 W/m2W/m2, and the wavelength of the wave is 6.90 mm. What is the maximum emf induced in the loop? Express your answer with the appropriate units.

The induced emf  is    

Explanation:

From the question we are told that

   The  radius of the circular loop is  

     The  intensity of the wave is  

      The wavelength is  

Generally the intensity is mathematically represented as

Here   is the permeability of free space with value  

B is the magnetic field which can be mathematically represented from the equation as

substituting values

The  area is mathematically represented as

substituting values

The angular velocity is mathematically represented as

substituting values          

Generally the induced emf is mathematically represented as

At maximum induced emf  

    So

substituting values

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