<?xml version="1.0" encoding="ISO-8859-1"?><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<front>
<journal-meta>
<journal-id>0120-6230</journal-id>
<journal-title><![CDATA[Revista Facultad de Ingeniería Universidad de Antioquia]]></journal-title>
<abbrev-journal-title><![CDATA[Rev.fac.ing.univ. Antioquia]]></abbrev-journal-title>
<issn>0120-6230</issn>
<publisher>
<publisher-name><![CDATA[Facultad de Ingeniería, Universidad de Antioquia]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0120-62302015000300005</article-id>
<article-id pub-id-type="doi">10.17533/udea.redin.n76a05</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[Measurement of the extremely low frequency magnetic field in the laptop neighborhood]]></article-title>
<article-title xml:lang="es"><![CDATA[Medición del campo magnético de frecuencias extremadamente bajas alrededor de un computador portátil]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Brodic]]></surname>
<given-names><![CDATA[Darko]]></given-names>
</name>
</contrib>
</contrib-group>
<aff id="A01">
<institution><![CDATA[,University of Belgrade  ]]></institution>
<addr-line><![CDATA[Bor ]]></addr-line>
<country>Serbia</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>09</month>
<year>2015</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>09</month>
<year>2015</year>
</pub-date>
<numero>76</numero>
<fpage>39</fpage>
<lpage>45</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_arttext&amp;pid=S0120-62302015000300005&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_abstract&amp;pid=S0120-62302015000300005&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_pdf&amp;pid=S0120-62302015000300005&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[The paper considers the level of the extremely low frequency magnetic field produced by the portable computers. Accordingly, the magnetic field characterized with the low frequencies up to 300 Hz has been measured. The experiment consists of testing 10 different portable computers in normal operating condition and under heavy load. The measurement of the magnetic field is performed in the laptop neighborhood. The measured data are presented and discussed. They are compared with the magnetic field safe limit values suggested by MPR II, TCO, ICNIRP, the SMEMSP (Serbian Ministry of Environment, Mining and Spatial Planning), and those given in the literature. It is shown that some of the portable computers radiate a very strong magnetic field. Hence, they should be used with caution.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[El artículo considera el nivel del campo magnético de frecuencias extremadamente bajas producido por computadores portátiles. Por consiguiente, se ha medido el campo magnético caracterizado por bajas frecuencias de hasta 300 Hz. Los experimentos consisten en la evaluación de 10 computadores portátiles diferentes, bajo condiciones de funcionamiento normal y bajo carga pesada. Las mediciones del campo magnético son realizadas en la vecindad del computador. Las mediciones obtenidas son presentadas y discutidas. Éstas son comparadas con los límites seguros de campos magnéticos sugeridos por MPR II, TCO, ICNIRP, el SMEMSP (Ministerio Serbio de Ambiente, Minería y Planeación Territorial), y aquellos encontrados en la literatura. Se muestra que algunos computadores portátiles irradian un campo magnético muy fuerte. Por lo tanto, éstos deberían ser usados con precaución.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[Exposure]]></kwd>
<kwd lng="en"><![CDATA[laptop]]></kwd>
<kwd lng="en"><![CDATA[magnetic field]]></kwd>
<kwd lng="en"><![CDATA[non-ionizing radiation]]></kwd>
<kwd lng="es"><![CDATA[Exposición]]></kwd>
<kwd lng="es"><![CDATA[computador portátil]]></kwd>
<kwd lng="es"><![CDATA[campo magnético]]></kwd>
<kwd lng="es"><![CDATA[radiación no ionizante]]></kwd>
</kwd-group>
</article-meta>
</front><body><![CDATA[  <font face="Verdana" size="2">     <p align="right"><b>ART&Iacute;CULO ORIGINAL</b></p>     <p align="right">&nbsp;</p>     <p align="right">DOI: <a href="http://dx.doi.org/10.17533/udea.redin.n76a05" target="_blank">10.17533/udea.redin.n76a05</a></p>     <p align="right">&nbsp;</p>     <p align="right">&nbsp;</p>     <p align="center"><font size="4"><b>Measurement of the extremely low frequency magnetic field in the laptop neighborhood</b></font></p>     <p align="center">&nbsp;</p>     <p align="center"><font size="3"><b>Medici&oacute;n del campo magn&eacute;tico de frecuencias extremadamente bajas alrededor de un computador port&aacute;til</b></font></p>     <p align="center">&nbsp;</p>     ]]></body>
<body><![CDATA[<p align="center">&nbsp;</p>     <p><i><b>Darko Brodic<sup>*</sup></b></i></p>     <p>Technical Faculty in Bor, University of Belgrade. Vojske Jugoslavije 12. C. P. 19210. Bor, Serbia. </p>     <p>* Corresponding author: Darko Brodic, e-mail: <a href="mailto:: dbrodic@tf.bor.ac.rs">dbrodic@tf.bor.ac.rs</a> </p>     <p>&nbsp;</p>     <p>&nbsp;</p>     <p align="center">(Received February 11, 2015; accepted June 06, 2015)</p>     <p align="center">&nbsp;</p>     <p align="center">&nbsp;</p> <hr noshade size="1">     <p><font size="3"><b>ABSTRACT</b></font></p>     ]]></body>
<body><![CDATA[<p>The paper considers the   level of the extremely low frequency magnetic field produced by the portable   computers. Accordingly, the magnetic field characterized with the low   frequencies up to 300 Hz has been measured. The experiment consists of testing   10 different portable computers in normal operating condition and under heavy   load. The measurement of the magnetic field is performed in the laptop   neighborhood. The measured data are presented and discussed. They are compared   with the magnetic field safe limit values suggested by MPR II, TCO, ICNIRP, the   SMEMSP (Serbian Ministry of Environment, Mining and Spatial Planning), and   those given in the literature. It is shown that some of the portable computers   radiate a very strong magnetic field. Hence, they should be   used with caution. </p>     <p><i>Keywords</i><b> </b>Exposure, laptop, magnetic field, non-ionizing radiation</p> <hr noshade size="1">     <p><font size="3"><b>RESUMEN</b></font></p>     <p>El art&iacute;culo considera el   nivel del campo magn&eacute;tico de frecuencias extremadamente bajas producido por   computadores port&aacute;tiles. Por consiguiente, se ha medido el campo magn&eacute;tico   caracterizado por bajas frecuencias de hasta 300 Hz. Los experimentos consisten   en la evaluaci&oacute;n de 10 computadores port&aacute;tiles diferentes, bajo condiciones de funcionamiento normal y bajo carga pesada. Las   mediciones del campo magn&eacute;tico son realizadas en la vecindad del computador.   Las mediciones obtenidas son presentadas y discutidas. &Eacute;stas son comparadas con   los l&iacute;mites seguros de campos magn&eacute;ticos sugeridos por MPR II, TCO, ICNIRP, el SMEMSP (Ministerio Serbio de Ambiente,   Miner&iacute;a y Planeaci&oacute;n Territorial), y aquellos encontrados en la literatura. Se muestra que algunos computadores   port&aacute;tiles irradian un campo magn&eacute;tico muy fuerte. Por lo tanto, &eacute;stos deber&iacute;an   ser usados con precauci&oacute;n. </p>     <p><i>Palabras clave: </i>Exposici&oacute;n, computador port&aacute;til, campo magn&eacute;tico,radiaci&oacute;n no ionizante</p> <hr noshade size="1">     <p><font size="3"><b>1. Introduction</b></font></p>     <p>A laptop is a personal   portable computer that can be used at any locations. It can be powered by AC or   battery, which brings versality. Furthermore, it represents an all-in-one design, which means that computer,   monitor, keyboard, mouse (typically given as touchpad), speaker and battery are   sealed into one piece. This construction brings a full functionality as in   desktop computers. However, the benefit of having a battery enables using a laptop   if there is no AC power supply. At the end, it has an additional external   component called AC adapter, which enables to be powered by AC supply. </p>     <p>EMF stands for   electromagnetic field. Electromagnetic radiation is the energy projected from   the electromagnetic field. The EMF radiation creates problems in the human   body, which generally comes from sources originating from: electric, magnetic,   wireless and ionizing radiation. It is the distance, strength and length of   exposure that determine the health risk to the users of the portable computer.   However, the only way to find out the level of EMFs is to test it with   detectors.</p>     <p>In the last decade, the use   of portable computer has rapidly grown. It is especially true for the younger   population. Due to its portability, it is a quite common practice to use the   portable computer at close contact with the body. In this way, it is in contact   with the areas of skin, blood, lymph, bones, etc. Common and regular use of the   portable computer in such cases might cause some negative effects to the user's   health. Hence, the raised concern about detectable impairment   to the health of the exposed individual is evident &#91;1&#93;. It is based on the   effect of the non-ionized electromagnetic radiation characterized by the low   frequency up to 300 Hz. Accordingly, the safe and adequate use of the   portable computer is mandatory. In this way, the risk of the magnetic exposure   of the portable computer users is in the focus. Still, it has been partly   investigated &#91;2&#93;. </p>     <p>Recently, some scientists   have recognized the occurrence of hypersensitivity to electromagnetic radiation   systems from a common exposure, such as gadgets, wireless systems, computer   systems and electrical appliances in the home or the office &#91;3&#93;. Similarly,   World Health Organization (WHO) has reported that the electromagnetic   hypersensitivity symptoms include dermatological, neurasthenic and vegetative   symptoms &#91;1&#93;. Some symptoms of electromagnetic   hypersensitivity are shortness of breath, arrhythmia, fatigue and nausea,   memory and concentration problems, headache, blurred eyesight, limb pains,   muscle stiffness, burning sensations, etc. &#91;4, 5&#93;. </p>     ]]></body>
<body><![CDATA[<p>According   to the safety rules of the SMEMSP &#91;6&#93;, the safe limit level of the magnetic induction for   the EMF (up to 800 Hz) is 2/<i>f</i>, where <i>f</i> represents the frequency of EMF. In this way, the safe limit level is defined   as the critical level of the radiation above which the environmental conditions   can be unsafe for humans. The safe limit level is determined between 0.2   &#956;T and 0.4 &#956;T in literature &#91;2, 7-9&#93;.   Consequently, the SMEMSP protection brought the Law on the non-ionized   radiation protection &#91;10&#93;, which determines the risk conditions and protection   measures in the critical situations. It   can be noted that the international commission for the non-ionized radiation   ICNIRP put the EMF safe limit value differently for the people and for the   employee. Accordingly, the safe limit is 5/<i>f</i> for the people and 25/<i>f</i> for the employee &#91;11&#93;. </p>     <p>In this paper, we address   the problem of the magnetic field radiation received from the portable   computers. The measurement of the magnetic field obtained from 10 different   portable computers is carried out. The portable computers are tested in   "normal" operating condition and under heavy load (under stress). Previously,   nobody differentiated the EMF measurement in different operating conditions of   portable computers. Consequently, the measurement results are presented and   compared. Then, the risk assessment of the low frequency magnetic induction   from portable computers to the humans according to the proposed EMF safe limits   is discussed. At the end, the conclusions are made as well as the future research work direction. </p>           <p><font size="3"><b>2. Methods</b></font></p>     <p>The   methods of the work consist of measuring the uniform extremely low frequency   magnetic field which is produced by the portable computers. The portable   computer is built-in of many electrical and electronic components, which are   mutually connected. During the normal operation of portable computers, these   components are supplied by current <i>I</i>.   The magnetic field is induced as a consequence of the current flow through   these components. According to the Biot-Savart law, the   magnetic field B is generated by a steady current <i>I</i>. Eq. (1) determines the magnetic field B. </p>     <p><img src="img/revistas/rfiua/n76/n76a05e01.gif"></p>     <p>where   the integral sums over the <i>wire</i> length, the vector <i>dl</i> is the vector line element with direction as the current <i>I</i>, <i>&#956;<sub>0</sub></i> is the magnetic   constant, <i>r </i>is the   distance between the location of <i>dl</i> and the location where the magnetic field is calculated, and <i>r</i><i>&#770;</i> is a unit vector in   the direction of <i>r</i>. During their   work, the users of portable computers are exposed to such magnetic field. In   the circumstances of uniform magnetic field (in the neighborhood of magnetic   field emitter, i.e. portable computer), the time dependence of the field is the   same in all points of the exposed subjects &#91;2&#93;. The magnetic induction <b>B</b> has direction and magnitude &#91;12&#93;. The   direction is decomposed into the three-unit directional   vectors, which are parallel to each one giving its direction along the   Cartesian axis <i>x</i>, <i>y</i>, and <i>z</i>, i.e.<img src="img/revistas/rfiua/n76/n76a05ea01.gif">, <img src="img/revistas/rfiua/n76/n76a05ea02.gif"> and.<img src="img/revistas/rfiua/n76/n76a05ea03.gif">. The magnitude of the magnetic induction is decomposed into the scalar   components <i>B<sub>x</sub></i>, <i>B<sub>y</sub></i> and <i>B<sub>z</sub></i> measured in the direction of the Cartesian axis <i>x</i>, <i>y</i> and <i>z</i>. Eq. (2) defines the magnetic induction B(<i>t</i>)   &#91;2, 12&#93;. </p>     <p><img src="img/revistas/rfiua/n76/n76a05e02.gif"></p>     <p>where <i>t</i> is the time, and <i>r</i><i>&#770;</i>&nbsp;is a unit vector in the direction of&nbsp;<i>r</i>, which is decomposed into the <img src="img/revistas/rfiua/n76/n76a05ea04.gif">,<img src="img/revistas/rfiua/n76/n76a05ea05.gif">, and <img src="img/revistas/rfiua/n76/n76a05ea06.gif"> components. </p>     <p>Typically,   the devices measure the magnitude (scalar) components of the magnetic   induction, i.e. <i>B<sub>x</sub></i>, <i>B<sub>y</sub></i> and <i>B<sub>z</sub></i>. Then, the magnitude of the magnetic induction vector   |B|, which is usually called measured magnetic induction<i> B</i>, is calculated using these scalar components. Eq. (3) determines the measured magnetic induction <i>B</i> &#91;12&#93;. </p>     <p><img src="img/revistas/rfiua/n76/n76a05e03.gif"></p>     ]]></body>
<body><![CDATA[<p>The   measurement of magnetic field is usually performed by an EMF measuring device   in the positions (typically in the office) where the influence of the magnetic   field is negligible. It means that the level of the magnetic field has to be   lower or equal to 0.01 &#956;T &#91;2&#93;. The measurement of magnetic field is   carried out by Lutron EMF 828 device &#91;13&#93;. The calibration of the measurement   device is performed according to ISO 9001 by the producer of the equipment &#91;14,   15&#93;. Lutron EMF 828 device measures the magnetic induction from 0.01 &#956;T to   2 mT in the extremely low frequency range between 30 and 300 Hz. The EMF 828   has three measurement extents: 20 &#956;T, 200 &#956;T and 2000 &#956;T. The   precision of the measurement largely depends on the measurement extent. It is   of the order 0.01 &#956;T for the measurement extent of 20 &#956;T, 0.1 &#956;T   for 200 &#956;T and 1 &#956;T for 2000 &#956;T, respectively. Lutron EMF 828   measures all three components of the magnetic induction <i>B</i>, i.e. <i>x</i>, <i>y</i> and <i>z</i> as well as <i>B</i>.</p>     <p><b>2.1. Experiment</b></p>     <p>The experiment consists of measuring the magnetic field at 27 measurement points in   the neighborhood of portable computer. <a href="#Figura1">Figure 1</a> illustrates these measurement   points.</p>     <p align=center><b><a name="Figura1"></a></b><img src="img/revistas/rfiua/n76/n76a05i01.gif"></p>     <p>Measurement points are classified into three groups (<a href="#Figura1">see Figure 1</a> for reference): </p>     <p> &shy;&nbsp;&nbsp;      Screen measurement points (smp1-smp9), </p>     <p> &shy;&nbsp;&nbsp;      Top body measurement points (tbmp1-tbmp9), and </p>     <p> &shy;&nbsp;&nbsp;      Bottom body measurement points (bbmp1-bbmp9). </p>     <p>To   measure the correct value of the magnetic field <i>B</i> in the portable computer neighborhood, it is exposed to normal   operating conditions and under heavy load (under stress). The normal operating   condition means that portable computer is running programs like Word, Excel,   Internet browsing, etc. As an addition to measurement, under stress operation   is introduced. It defines the extreme computer operation which implies that all   parts of the portable computer are under heavy load. It is accomplished by   running the 3DMark Vantage program &#91;16&#93;. 3DMark Vantage program represents   the&nbsp;well-known computer benchmarking&nbsp;tool   created to evaluate the performance of   a computer 3D graphic rendering and CPU workload processing capabilities. Its   minimum hardware and software requirements are given in the <a href="#Tabla1">Table 1</a>. </p>     <p align=center><a name="Tabla1"></a><img src="img/revistas/rfiua/n76/n76a05t01.gif"></p>     ]]></body>
<body><![CDATA[<p>To   test the portable computer, it has to be exposed to the same conditions. It   implies that the portable computers should be tested in the same location with   a similar or equal neighbor's magnetic field radiation, and away from direct   sunlight and other heat sources.</p>           <p><font size="3"><b>3. Results and </b><b>d</b><b>iscussion</b></font></p>     <p>The   measurement results show that the level of radiation at measuring points   smp1-smp9 (in the area of the portable computer screen) is negligible or up to   0.02 &#956;T. Hence, these results will not be presented below.</p>     <p>The   measurement results of the magnetic field <i>B</i> obtained at the top, and at the bottom body parts of portable computers are   given in <a href="#Tabla2">Tables 2</a>-<a href="#Tabla7">7</a>. Currently, 6 out of 10 portable computers (Laptops 1-6)   are tested in normal operating condition and under stress, while the other 4   portable computers (Laptops 7-10) are tested only in normal operating   condition. These 4 computers are tested in normal operating condition only,   because they did   not fulfill hardware requirements of the 3DMark Vantage   program (<a href="#Tabla1">see Table 1</a> for reference). All relevant technical specifications of the   tested portable computers are given in Table 8 in the appendix. </p>     <p><a href="#Tabla2">Tables   2</a> and <a href="#Tabla3">3</a> show the level of the measured magnetic field <i>B</i> at the top and at the bottom part of   portable computers in the normal operating condition (without stress). </p>     <p align=center><a name="Tabla2"></a><img src="img/revistas/rfiua/n76/n76a05t02.gif"></p>     <p align=center><a name="Tabla3"></a><img src="img/revistas/rfiua/n76/n76a05t03.gif"></p>     <p>The   maximum values of the measured magnetic field <i>B</i> are from 0.5819 to 2.2011 &#956;T at the top parts and from   0.5190 to 4.3959 &#956;T at the bottom parts of portable computers.   Furthermore, the average values of the magnetic field B are from 0.1219 to   0.5468 &#956;T at the top parts and from 0.1110 to 1.1292 &#956;T at the bottom   parts of portable computers. These magnetic field values are obtained in normal operating   condition. </p>     <p><a href="#Tabla4">Tables   4</a> <a href="#Tabla5">and 5</a> show the level of measured magnetic field <i>B</i> at the top and at the bottom parts of   portable computers under stress. </p>     <p align=center><a name="Tabla4"></a><img src="img/revistas/rfiua/n76/n76a05t04.gif"></p>     ]]></body>
<body><![CDATA[<p align=center><a name="Tabla5"></a><img src="img/revistas/rfiua/n76/n76a05t05.gif"></p>     <p>The   maximum values of the measured magnetic field <i>B</i> are from 1.0852 to 5.0557 &#956;T at the top parts and from   0.8526 to 10.9167 &#956;T at the bottom parts of portable computers.   Furthermore, the average values of the magnetic field B are from 0.3164 to   1.5776 &#956;T at the top parts and from 0.4143 to 2.2939 &#956;T at the bottom   parts of portable computers. These magnetic field <i>B</i> values, which are measured under stress, are 2 to 2.5 times   higher compared to those obtained in normal operating condition. </p>     <p><a href="#Tabla6">Tables   6</a> <a href="#Tabla7">and 7</a> show the level of the measured magnetic field <i>B</i> at the top and at the bottom parts of   portable computers in the normal operating condition (4 out of 10 portable   computers are tested in normal operating condition only). </p>     <p align=center><a name="Tabla6"></a><img src="img/revistas/rfiua/n76/n76a05t06.gif"></p>     <p align=center><a name="Tabla7"></a><img src="img/revistas/rfiua/n76/n76a05t07.gif"></p>     <p>The   maximum values of the measured magnetic field <i>B</i> are from 1.4279 to 4.2164 &#956;T at the top parts and from   1.1891 to 5.7531 &#956;T at the bottom parts of portable computers.   Furthermore, the average values of the magnetic field <i>B</i> are from 0.2685 to 0.5475 &#956;T at the top parts and from   0.4267 to 1.5772 &#956;T at the bottom parts of portable computers. These   values are obtained in normal operating condition of portable computers only.   If we compare these values of the magnetic field <i>B</i> to those obtained with the portable computers used in condition   without stress (see Tables 2 and 3 for reference),   then the measured results are quite similar. </p>     <p><a href="#Figura2">Figure   2</a> illustrates the comparison between the average level of low frequency   magnetic field at the top and at the bottom parts of portable computers in   normal operating condition and under stress.</p>     <p align=center><a name="Figura2"></a><img src="img/revistas/rfiua/n76/n76a05i02.gif"></p>     <p><a href="#Figura3">Figure   3</a> illustrates the comparison between the maximum level of low frequency   magnetic field at the top and at the bottom parts of portable computers in   normal operating condition and under stress.</p>     <p align=center><a name="Figura3"></a><img src="img/revistas/rfiua/n76/n76a05i03.gif"></p>     ]]></body>
<body><![CDATA[<p>The   results of the experiment show that the critical measurement points are those   close to the keyboard and touchpad, and at the bottom of the laptop.   Furthermore, it is obvious that the level of the magnetic field measured at the   bottom parts is usually higher than the level at the top parts of portable computers   (<a href="#Figura2">see Figures 2</a> <a href="#Figura3">and 3</a> for reference). It is a   very important observation, because the users of portable computer are usually   in close contact with the bottom region. In this region, their exposure to low frequency magnetic field is high. It   should be noted that <i>B</i> of 0.2 &#956;T   (TCO standard) &#91;2, 8&#93;, 0.25 &#956;T (MPR-II standard) &#91;2&#93;, 0.3 &#956;T &#91;7&#93;, and   0.4 &#956;T &#91;9&#93; are proposed as the safe limits for the electronic or computer   equipment use. Unfortunately, the measured magnetic field values are   considerably higher than those proposed by safe limits. Hence, an extreme caution is necessary in order to use properly the portable   computers. </p>     <p>The   only asset is a lower level of the low frequency magnetic field radiation in   normal operating condition. It implies that using the typical office programs   or the Internet browsing (not playing video or similar) contributes to smaller   level of magnetic field exposure. In contrast, the users who play the games on   a portable computer are exposed to very high levels of the magnetic field   radiation (see measurement for under stress with 3DMark Vantage program   consisting of video game fragments). Furthermore, the use of speed-step   processor modes reduces the level of the magnetic field as well.   Unfortunatelly, it leads to smaller processor calculating power typically   evaluated by smaller CPU passmark &#91;17&#93; (see   <a href="#Tabla8">Table   8</a> for reference). </p>     <p>If   we use the average level as a referent one, then the observations of the   magnetic field level at the top parts of portable computers are up to twice the   safe limit level (<a href="#Figura2">see Figure 2 (a) </a>for reference) in the   normal operating condition. The common sense tells us that using the portable   computer with the break equal to the period of the work can be recommended.   However, if we take into account the portable computer operation under stress,   then the magnetic field levels at the top parts of portable computers are three   to five times the safe limit level (<a href="#Figura2">see Figure 2 (b)</a> for reference). Hence, the   period of pausing between works should be longer. </p>     <p>At   the end, the following suggestions are recommended: (i) to put the portable computers out of her/his lap, typically at the office   desk, (ii) to use the external mouse, and (iii) to use the external   keyboard if it is possible. However, the observation that the magnetic field is   rapidly decreasing after a few cms from the magnetic field emitter represents   an encouraging news. </p>           <p><font size="3"><b>4. Conclusions</b></font></p>     <p>The   paper addressed the problem related to the magnetic field radiation, which exists in the neighborhood   of portable computers. The measurement of the magnetic field was characterized   by the extremely low level frequencies. It was carried out by Lutron EMF 828   devices. The obtained results showed that the critical levels of the measured   magnetic field were sometimes considerably above the proposed safe limits &#91;2, 7-9&#93;. Consequently, the research pointed out the computer positions where   the measured magnetic field radiation   was significant. This information could be exploited to use the portable   computer safely and without the risk. </p>     <p>Future   research work will include the magnetic field measurements of the other computer office appliances such as desktop   computers, printers, multi-operational devices, scanners, uninterruptible power   supply, and so on. </p>             <p><font size="3"><b>Appendix</b></font></p>     <p align=center><img src="img/revistas/rfiua/n76/n76a05ap01.gif"></p>           <p><font size="3"><b>5. Acknowledgements</b></font></p>     ]]></body>
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