CBSE Class 12-science Answered
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Asked by jain.pradeep | 16 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 | 17 Feb, 2020, 12:24: PM
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