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flow of current, which in turn produces a force tending to oppose<br />

the movement of the conductor. Work will then have to be done<br />

to move the conductor:<br />

F.d,i =J( Lx jj) ·di. (18.8)<br />

The power input is P = dAjdt, and therefore<br />

P =J (L x jj). V, (18.9)<br />

where V is the velocity of the conductor. But the power input is<br />

given by P = JU, where U is the potential difference across the<br />

ends of the conductor; therefore<br />

- - -<br />

U = (L xB)·V. (18.10)<br />

When L, iJ, and V are mutually perpendicular, as in the<br />

case of the electromagnetic flow meter, the last equation<br />

simplifies to<br />

U = LBV. (18.11)<br />

This equation can be applied directly to measurement of the<br />

blood flow.<br />

Fig. 18.5. Electromagnetic flowmeter:<br />

1 - signal voltage; 2 ­<br />

electromagnet; 3 - readout<br />

system; 4 - blood vessel; S ­<br />

cross-sectional area of the vessel;<br />

V - velocity of the blood<br />

Fig. 18.6. Principles of threedimensional<br />

magnetocardiography<br />

through the mapping<br />

flow; U - potential difference;<br />

B - the magnetic field; / _<br />

of the magnetic field around<br />

distance between the poles<br />

the thorax of patient<br />

of magnet<br />

i f<br />

~.<br />

Chapter 19. BIOMAGNETISM<br />

19.1. MAGNETIC FIELDS IN LIVING ORGANISMS<br />

The word magnetography originates from Greek words magnetos<br />

meaning magnetic field and graphi meaning to write on. Neural<br />

tissue produces electrical potentials within the body and these<br />

potentials give rise to electrical currents in tissue. These currents<br />

will give rise to magnetic fields. Biomagnetic fields are produced<br />

also by the currents which circulate in biological membranes,<br />

blood vessels, around the heart (magnetocardiography), brain (magnetoencephalography),<br />

muscles (magnetomiography) , eye (magnetooculography).<br />

d5<br />

Magnetocardiography provide<br />

the mapping of the magnetic<br />

field around the thorax as a research<br />

tool. The magnetic field is<br />

a vector quantity and has therefore<br />

three components at each<br />

V location in space. The method of<br />

magnetocardiography is explained<br />

in fig. 18.6. Each of the three<br />

components are measured symmetrically<br />

(i.e., on both sides of<br />

the source). Such a system requires<br />

six magnetometers or six consecutive<br />

measurements with one<br />

magnetometer.<br />

The electromagnetic flow meter for blood flow measurement<br />

consists of an electromagnet to generate a magnetic field and two<br />

electrodes to sense the flow signal. They are encapsulated in an<br />

inert hard plastic in a form which permits them to fit around the<br />

blood vessel of interest (fig. 18.5). In this way the system can be<br />

used to measure the potential difference versus the blood flow.<br />

136<br />

Chapter 20. MAGNETIBIOLOGY<br />

• ... • M oQ'ii!'!S!' r<br />

20.1. MAGNETIC ORIENTATION IN ANIMALS<br />

The total intensity of the geomagnetic field is highest near the<br />

magnetic poles, with more than 60000 nT; it decreases to values<br />

of about 26000 nT at the magnetic equator. The magnetic orientation<br />

means that animals use information from the magnetic field<br />

to direct and control their behavior.<br />

137

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