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The time dependent Schr\"odinger equation for an electron passing through asemiconductor quantum ring of nonzero width is solved in the presence of aperpendicular homogenous magnetic field. We study the effects of the Lorentzforce on the Aharonov-Bohm oscillations. Within the range of incident momentumfor which the ring is transparent at zero magnetic field, the Lorentz forceleads to a decrease of the oscillation amplitude, due to the asymmetry in theelectron injection in the two arms of the ring. For structures in which thefast electrons are predominantly backscattered, the Lorentz force assists inthe transport producing an initial increase of the corresponding oscillationamplitude. Furthermore, we discuss the effect of elastic scattering on apotential cavity within one of the arms of the ring. For the cavity tuned toshift maximally the phase of the maximum of the wave packet we observe a $\pi$shift of the Aharonov-Bohm oscillations. For other cavity depths theoscillations with a period of half of the flux quantum are observed

Time-dependent simulations of electron transport through a quantum ring: Effect of the Lorentz force