"The magnetoelectric effect (ME), the appearance of a dc bias voltage in the presence of an ac magnetic field, present in multiferroic materials attracts much attention since it allows for a novel way to couple electric and magnetic fields. Materials exhibiting ME possess a strong coupling of the magnetic and lattice degrees of freedom. Therefore, controlling the phonon modes and the spin polarization allows for understanding the underlying mechanism that gives rise to ME. Phonon modes and spin polarization are usually controlled by temperature and magnetic field. Unfortunately, measuring techniques for studying the magnetoelectric effect in multiferroic materials and nanostructures under such conditions of temperature and magnetic fields are not well established yet. In this work, we developed an experimental setup for magnetoelectric measurements as a function of temperature and the magnetic field in BiFeO3 nanoparticles and nanostructures. We address the overall process of the measurement technique, as well as the theory of the coupling and advantages and disadvantages of our method. We study the magnetoelectric coupling with AC magnetic field at frequencies starting from 1 kHz to 10kHz with amplitudes of 0.2mT to 2mT and DC magnetic fields from 0.8T to 12T. Magnetoelectric coupling was measured and studied in the archetypical multiferroic material BiFeO3 prepared by a sol-gel synthesis in the form of nanoparticles."--Tomado del Formato de Documento de Grado.