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handbook of modern sensors

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218 5 Interface Electronic Circuits<br />

teristics (multiplicative noise) or they may result in the generation <strong>of</strong> spurious signals<br />

(additive noise) by a sensor. If a sensor incorporates certain mechanical elements,<br />

vibration along some axes with a given frequency and amplitude may cause resonant<br />

effects. For some <strong>sensors</strong>, acceleration is a source <strong>of</strong> noise. For instance, most<br />

pyroelectric detectors also possess piezoelectric properties. The main function <strong>of</strong> the<br />

detector is to respond to thermal gradients. However, such environmental mechanical<br />

factors as fast changing air pressure, strong wind, or structural vibration cause the sensor<br />

to respond with output signals which <strong>of</strong>ten are indistinguishable from responses<br />

to normal stimuli.<br />

5.9.7 Ground Planes<br />

For many years, ground planes have been known to electronic engineers and printed<br />

circuit designers as a “mystical and ill-defined” cure for spurious circuit operation<br />

[16]. Ground planes are primarily useful for minimizing circuit inductance. They<br />

do this by utilizing the basic magnetic theory. Current flowing in a wire produces an<br />

associated magnetic field (Section 3.3 <strong>of</strong> Chapter 3). The field’s strength is proportional<br />

to the current i and inversely related to the distance r from the conductor:<br />

B = µ 0 i<br />

2πr . (5.85)<br />

Thus, we can imagine a current carrying wire surrounded by a magnetic field. Wire<br />

inductance is defined as energy stored in the field set up by the wire’s current. To<br />

compute the wire’s inductance requires integrating the field over the wire’s length and<br />

the total area <strong>of</strong> the field. This implies integrating on the radius from the wire surface<br />

to infinity. However, if two wires carrying the same current in opposite directions<br />

are in close proximity, their magnetic fields are canceled. In this case, the virtual<br />

wire inductance is much smaller. An opposite flowing current is called return current.<br />

This is the underlying reason for ground planes. A ground plane provides a return<br />

path directly under the signal-carrying conductor through which return current can<br />

flow. Return current has a direct path to ground, regardless <strong>of</strong> the number <strong>of</strong> branches<br />

associated with the conductor. Currents will always flow through the return path<br />

<strong>of</strong> the lowest impedance. In a properly designed ground plane, this path is directly<br />

under the signal conductor. In practical circuits, a ground plane is on one side <strong>of</strong><br />

the board and the signal conductors are on the other. In the multilayer boards, a<br />

ground plane is usually sandwiched between two or more conductor planes. Aside<br />

from minimizing parasitic inductance, ground planes have additional benefits. Their<br />

flat surface minimizes resistive losses due to the "skin effect” (ac current travel along<br />

a conductor’s surface). Additionally, they aid the circuit’s high-frequency stability by<br />

referring stray capacitance to the ground. Some practical suggestions are as follows:<br />

• Make ground planes <strong>of</strong> as much area as possible on the component side (or inside<br />

for the multilayer boards). Maximize the area especially under traces that operate<br />

with high frequency or digital signals.<br />

• Mount components that conduct fast transient currents (terminal resistors, ICs,<br />

transistors, decoupling capacitors, etc.) as close to the board as possible.

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