Answer:
a) Magnetic flux before the plane is rotated = (BA) Wb
b) Magnetic flux after the plane is rotated = 0 Wb
c) Magnitude of the average induced emf =
(NBA)/Δt
Explanation:
The magnetic flux is given as
Φ = BA cos θ
where B = magnetic field strength
A = Cross sectional Area of the loop enclosed
θ = the angle in the equation above is between the line normal to plane (NOT the plane itself!) and the magnetic field.
a) Given that the position of the plane of each turn is perpendicular to Earth's magnetic field before being rotated.
Before the plane is rotated, θ = 0°
Φ = BA cos θ = BA cos 0° = BA
b) Given that the position of the plane of each turn is parallel to Earth's magnetic field after being rotated.
After the plane is rotated, θ = 90°
Φ = BA cos θ = BA cos 90° = 0
c) According to the Faraday's law of electromagnetic induction,
E = - N (ΔΦ/Δt) (minus sign to indicate that the direction of the induced emf is opposite the direction of the change of magnetic flux)
ΔΦ = (final Φ) - (initial Φ) = (0 - BA) = - BA
E = - N (- BA)/Δt
E = (NBA)/Δt
Hope this Helps!!!
