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Question based on Motional Electro motive force (emf)

A metal rod is falling toward the surface of the Earth near the equator. As it falls, one end of the rod become positively charged due to the motional emf of the rod through the Earth's magnetic field. The rod is oriented so that

A wire forming one cycle of sine curve is moved in x-y plane with velocity vec(V)=V_(x)hat(i)+V_(y)hat(j) . There exist a magnetic field vec(B)=-B_(0)hat(k) . Find the motional emf decelop across the ends PQ of wire.

Assertion : Motional induced emf e = Bvl can be derived from the relation e = -(dtheta)/(dt) Reason : Lenz's law is a consequence of law of conservation of energy.

Classify the following as rectilinear motion (motion along a straight line), circular motion or periodic motion (oscillatory motion) : Motion of a horse pulling a cart on a straight road.

(a) A rod of length is moved horizontally with a uniform velocity 'v' in a direction perpendicular to its length through a region in which a uniform magnetic field is acting vertically downward. Derive the exprwession for the emf induced across the ends of the rod. (b) How does one understand this motional emf by invoking the Lorentz force on the free charge carries of the condutor ? Explain.

The magnetic flux in a coil of 100 turns increase by 12 xx10^(3) Maxwell in 0.2 s due to the motion of a magnet . The emf induced in the coil will be :-

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