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The illustration below shows a loop of wire with area A and a uniform magnetic field...

The illustration below shows a loop of wire with area A and a uniform magnetic field B that goes through the loop. (The field fills the whole area of the page, but it is simpler to make one drawing.) The area vector and B-field direction are both in the plane of the page. The loop is perpendicular to it, but drawn in a perspective view so that you can see it is a loop. The B-field has a constant magnitude but is rotating in the plane of the page so that the angle theta = (angular

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Answer #1

a) As the magnetic field rotates from =0 to =90 , the magnetic flux decreases this is because , magnetic flux is given as ::

flux = B A Cos

B and A are constant   . as angle rotates from =0 to =90, Cos decreases. and hence flux decreases/

b)

yes there is induced current in the loop in counter-clockwise direction as looked from above.

external magnetic field is in up direction and is decreasing , so to resist the change loop induces an induced current in it so as to produce magnetic field in up direction.

c) there is no torque

d) Flux is given as ::

= B A Coswt

w = angular speed , t = time

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