Question

G a magnetic field perpendicular to the plane of a wire loop is uniform in space but changes with time t in the region of the loop. if the induced emf in the loop increases linearly with time t, then the magnitude of the magnetic field must be proportional to

Answer 1

e = Δφ / Δt induced emf is proportional to enclosed flux

Also φ = B * A flux is proportional to area and enclosed field

If the induced emf e increases with time than the flux and hence the magnetic field is increasing with time (replace B with G)

Since e = ΔG * A / Δt if e is linear then G must also be linear and be proportional to the time