Answer :


Given:


Average induced emf in the loop


Time taken to rotate the loo


Edge length of square loop


Area of square loop


We know that,


Average induced emf in time interval Δt is given by


…(i)


Where


are flux across the cross section at time intervals respectively.


Magnetic flux(ϕ) through the loop is given by the formula




Where B=magnetic field intensity


A=area of cross section


θ =angle between area vector and magnetic field


Initially, angle between area vector and magnetic field is 0°


Therefore, initial flux through the coil is



When it is rotated by 180° flux passing through the coil is given by



Putting this values in eqn.(i) we get,



Putting the values of ϵ, B and Δt in the above eqn.




Therefore, magnitude of magnetic field intensity is 5T


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