Q.
A 800 turn coil of effective area 0.05 m2 is kept perpendicular to a magnetic field 5×10−5 T. When the plane of the coil is rotated by 90∘ around any of its coplanar axis in 0.1 s, the emf induced in the coil will be
Magnetic field B=5×10−5T
Number of turns in coil N = 800
Area of coil A = 0.05 m2
Time taken to rotate Δt = 0.1 s
Initial angle θ1=0∘
Final angle θ2=90∘
Change in magnetic flux Δϕ =NBAcos90∘−BAcos0∘
= - NBA =−800×5×10−5×0.05
= - 2 ×10−3 weder e=−ΔtΔϕ=0.1s−(−)2×10−3Wb=0.02V