Resistor Theory and Technology

Chapter 7: Overview of Fixed and Variable Resistors

1 FUNDAMENTAL PARAMETERS

1.1 Ohmic Value

Resistors are passive components (unlike transistors, integrated circuits, etc.), characterized by the deposition of a resistive element on an appropriate substrate. This resistive element can be a wire, metallic layer, metal foil, etc. Its ohmic value is determined by means of the following formula:


where L(m) = length of deposit

R( ?) = resistance

p( ?) = resistivity of the material forming the deposit

S(m 2) = cross-section of the deposit

R is inversely proportional to the thickness of the resistive material, which, for obvious technical reasons, must be greater than zero (the diameter of wound wire is close to 10 ?m; the thickness of a metallic deposition layer is roughly a micrometer). This relationship becomes more significant as the desired power increases, limiting the range of ohmic values possible with these devices.

1.2 Nominal Ohmic Value of a Resistor

Nominal value is the desired ohmic value of the resistor. Standard preferred numbers of nominal values R n are obtained by rounding the theoretical value obtained:


where n is a positive or negative integer number

m can take the values 3, 6, 12, 24, 48, 96, or 192

The series obtained (E3 to E192) include between 3 and 192 values per decade. They are associated with increasingly closer tolerances (greater than 20% for the E3 series, 0.5% for the E192 series).

Table 1 lists, for n = 1, the nominal values and...

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