Decades of research into electromagnetic fields and human health have resulted in standard setting bodies developing exposure limits that are designed to provide protection for all members of the community and include a large safety margin (50 fold or 5000%) to cover any unknown health impacts.
As the World Health Organization states:
The exposure limits for EMF fields developed by the International Commission on Non-Ionizing Radiation Protection (ICNIRP) - a non-governmental organization formally recognised by WHO, were developed following reviews of all the peer-reviewed scientific literature, including thermal and non-thermal effects. The standards are based on evaluations of biological effects that have been established to have health consequences. The main conclusion from the WHO reviews is that EMF exposures below the limits recommended in the ICNIRP international guidelines do not appear to have any known consequence on health.
For more information see the section on Standards.