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Asked by jain.pradeep | 16th Feb, 2020, 08:29: PM

Expert Answer:

Figure shows a rectangular coil of width a and length b is rotating in a uniform magnetic field.
 
Induced emf E in the coil is given as,   E = -dφ/dt  , where φ is magnetic flux
 
magnetic flux = B•A = B (ab) cosθ  where B is magnetic flux density, A is area of coil that equals (a b)
and θ is the angle made by coil with magnetic field direction.
 
Hence emf E = - (d/dt )[ B (ab) cosθ ] = - (d/dt )[ B (ab) cos(ωt) ] = B (ab) ω sin(ωt)
 
current i = ( induced emf ) / ( Resistance of coil ) = { [ B (ab) ω ] / R } sin(ωt)
 
Peak value of emf = B (ab) ω
 
Peak value of current = { [ B (ab) ω ] / R }
 
 
Graph of emf as a function of t is shown in figure
 

Answered by Thiyagarajan K | 17th Feb, 2020, 12:24: PM

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