Faraday's Law Question

Question

John is pedaling his bike down the street perpendicular to the earth’s magnetic field of 5.5 x 10-5 T. What

is the induced voltage in one metal rim of the bicycle if the wheel has an area of 1.13 m2 and he takes

2.0 s to make a 90 degrees turn into a northbound street?

Answer 1

B = 5.5 * 10^-5T ^Δ A₁=1.13*m² A₂ = 0 * m²

ΔA =A₁-A₂ = 1.13 * m² and Δt = 2*s

The induced Emf is equal to the change in flux. since B is constant, the change in crosssection of the area perpendicular to the B field controls the induced Emf.

V_induced = - Δ Φ / Δ t

V_induced = - B * ΔA/Δt

= - (5.5 * 10^-5 * 1.13 m² / 2*s

= 3.1 * 10^-5 V