Scientists have said there is no evidence to suggest a link between the use of wi-fi and damage to health.
Wireless working is becoming part of daily life
BBC programme Panorama found that radiation levels from wi-fi in one school was up to three times the level of mobile phone mast radiation.
The readings were 600 times below the government's safety limits but there is ongoing debate about wi-fi use.
Sir William Stewart, chairman of the Health Protection Agency, has said there needs to be a review of wi-fi.
He told Panorama that there was evidence that low-level radiation - from devices like mobile phones and wi-fi - did cause adverse health effects.
But some experts in the scientific community have disagreed with his assessment.
"Wi-fi seems unlikely to pose any risk to health," said Professor Lawrie Challis, of Nottingham University.
Prof Challis, chairman of the Mobile Telecommunications and Health Research (MTHR) programme management committee, said: "Wi-fi exposures are usually very small - the transmitters are low power and some distance from the body.
"They can be near to the body, however, when a laptop is on one's lap and my own view is that just as we encourage young children not to use mobile phones we should also encourage them to use their laptops on a table rather than their lap, if they are going online for a long time."
As part of its investigation, Panorama visited a school in Norwich, with more than 1,000 pupils, to compare the level of radiation from a typical mobile phone mast with that of wi-fi in the classroom.
Readings taken for the programme, broadcast on BBC One on Monday, showed the height of wi-fi signal strength to be three times higher in the school classroom than the main beam of radiation intensity from a mobile phone mast.
Sir William recommended to the government in 2002 that the beam of greatest intensity from a phone mast should not fall on any part of the school grounds, unless the school and parents agreed to it.
Wireless working is becoming more popular
Medical physics expert Professor Malcolm Sperrin told BBC News that the fact wi-fi radiation in a particular school was three times higher than a mobile phone mast was irrelevant, unless there was any evidence of a link to health effects.
"Wi-fi is a technique using very low intensity radio waves. Whilst similar in wavelength to domestic microwave radiation, the intensity of wi-fi radiation is 100,000 times less than that of a domestic microwave oven.
"Furthermore, tissue can only be effectively heated by a wavelength that is closely matched to the absorption, and there are strict guidelines for ensuring such absorption peaks are avoided."
The type of radiation emitted by radio waves (wi-fi), visible light, microwaves and mobile phones has been shown to raise the temperature of tissue at very high levels of exposure - called a thermal interaction - but there is no evidence that low levels cause damage.
The Health Protection Agency has said that sitting in a wi-fi hotspot for a year results in receiving the same dose of radio waves as making a 20-minute mobile phone call.
"Some people suspect a non-thermal interaction but there is no evidence to suggest that this exists and indeed it is unlikely," said Prof Sperrin.
He added: "Radio waves (wi-fi) and other non-ionising radiations have been part of our lives for a century or more and if such effects were occurring then damage or other untoward effects would have been recorded and studied.
"Research is still proceeding in this area at leading centres in many countries but evidence points to wi-fi transmissions being well below any likely threshold for human effects."
Panorama spoke to Professor Olle Johansson, of the Karolinska Institute in Sweden, who said there had been many recorded effects such as chromosome damage from low-level radiation.
Professor Henry Lai, from Washington state university, also quoted in Panorama, said he had found health effects at similar levels of radiation to wi-fi.
He estimated that of the two to three thousand studies carried out over the last 30 years, there is a 50-50 split - half finding an effect with the other half finding no effect at all.
But Professor Will J Stewart, fellow of the Royal Academy of Engineering, said: "Science has studied the safety of mobile phones for many years and the overwhelming body of evidence shows little cause for concern.
"As for wi-fi, although these devices operate at a modestly different frequency to mobiles they also operate at a lower power level over a much shorter-range.
"Add to the fact that high-bandwidth wi-fi devices are less likely to be head-mounted and there really is no issue here.
"This is not to say that all electromagnetic radiation is necessarily harmless - sunlight, for example, poses a significant cancer risk; so if you are using your laptop on the beach make sure and get some shade."
Professor Sperrin said one of the difficulties around wi-fi research was that it was impossible to prove a negative.
"It's impossible to prove that something has no effect," he said.
He said there was no justification in discarding wi-fi until it could be proved unsafe.
"The educational benefits from using laptops and having access to information far outweigh any unproven fears over the safety of wi-fi. I am more concerned about the heat laptops generate and the impact that could on sensitive parts of the body."
Wi-fi: a warning signal, Panorama, Monday, 8.30pm, BBC1.