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handbook of modern sensors

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5.9 Noise in Sensors and Circuits 217<br />

Fig. 5.53. Receiver’s loop is formed by long conductors.<br />

arrangement to work, none <strong>of</strong> the current can be shared with another conductor,<br />

(e.g., a ground plane, which may result in ground loops).<br />

• Use a shielded cable with the high-level source circuit’s return current carried by<br />

the shield (Fig. 5.52A). If the shield current i 2 is equal and opposite to that <strong>of</strong><br />

the center conductor i 1 , the center conductor field and the shield field will cancel,<br />

producing a zero net field. This case seems to be a violation <strong>of</strong> the rule “no shield<br />

currents” for the receiver’s circuit; however, the shielded cable here is not used<br />

to electrostatically shield the center conductor. Instead, the geometry produces a<br />

cancellation <strong>of</strong> the magnetic field which is generated by a current supplied to a<br />

“current-hungry” device (an electric motor in this example)<br />

• Because magnetically induced noise depends on the area <strong>of</strong> the receiver loop, the<br />

induced voltage due to magnetic coupling can be reduced by making the loop’s<br />

area smaller.<br />

What is the receiver’s loop Figure 5.53 shows a sensor which is connected to<br />

the load circuit via two conductors having length L and separated by distance D.<br />

The rectangular circuit forms a loop area a = LD. The voltage induced in series with<br />

the loop is proportional to the area and the cosine <strong>of</strong> its angle to the field. Thus, to<br />

minimize noise, the loop should be oriented at right angles to the field and its area<br />

should be minimized.<br />

The area can be decreased by reducing the length <strong>of</strong> the conductors and/or decreasing<br />

the distance between the conductors. This is easily accomplished with a twisted<br />

pair, or at least with a tightly cabled pair <strong>of</strong> conductors. It is good practice to pair the<br />

conductors so that the circuit wire and its return path will always be together. This<br />

requirement must not be overlooked. For instance, if wires are correctly positioned<br />

by a designer, a service technician may reposition them during the repair work. A new<br />

wire location may create a disastrous noise level. Hence, a general rule is: Know the<br />

area and orientation <strong>of</strong> the wires and permanently secure the wiring.<br />

Magnetic fields are much more difficult to shield against than electric fields because<br />

they can penetrate conductive materials.<br />

5.9.6 Mechanical Noise<br />

Vibration and acceleration effects are also sources <strong>of</strong> transmitted noise in <strong>sensors</strong><br />

which otherwise should be immune to them. These effects may alter transfer charac-

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