Schematic diagram for single phase ac generation
A multi-turn coil is placed inside a magnet with an air gap as shown in Fig. above. The flux lines are from North Pole to South Pole. The coil is rotated at an angular speed, ω = 2π n (rad/s).
At a certain instant t, the coil is an angle (rad), θ = ωt with the horizontal (Fig. 12.2).
The emf (V) induced on one side of the coil (conductor) is Blv sinθ , θ can also be termed as angular displacement.
The emf induced in the coil (single turn) is 2Blvsin θ = 2 Bl π bsinθ.
The total emf induced or generated in the multi-turn coil is e(θ) = T2Bl π bsinθ = 2 π BlbnT sinθ.
