Voltage
The Voltage Coefficient of Resistance (VCR) is the change in resistance with applied voltage. This is entirely different and in addition to the effects of self-heating when power is applied. A resistor with a VCR of 100 ppm/V will change 0.1 percent over a 10-Volt change and 1 percent over a 100-Volt change.
Temperature and Power
Electronic devices often have to operate in high-temperature environments, so it is vital to know how the resistor you choose will behave with variations in temperature. The Temperature Coefficient of Resistance (TCR) is specified as the change in resistance, in parts per million (ppm), for a change in temperature of one degree. The value is usually specific for degrees Celsius, as opposed to the Fahrenheit. Closely related to the TCR is the Power Coefficient of Resistance (PCR), because the temperature changes in a resistor are closely related to the amount of power dissipated.
Changes due to TCR are reversible; when power is turned off and the resistor cools back down to room temperature, the resistor’s value returns to normal. But, over the longer term, the temperature under which the resistor operates can also cause permanent changes in a resistor’s value. The effect varies with resistor technology, and it can usually be predicted in advance based on information supplied by the manufacturer.
Especially Precision Resistors
There are many factors precision resistors share with all resistors that are, perhaps, more important for the former simply because they don’t often factor in with applications that can tolerate 10 or 20 percent variation, but can be devastating in an application requiring higher fidelity.
Every resistor is rated by the maximum power it can dissipate, but the stated amount of safe power dissipation is derated by how far the temperature of the resistor deviates from ambient room temperature. A good spec sheet for any precision resistor will include a graph specifying the fall-off.
Resistor noise can be thought of as tiny, random electrical signals emanating from a resistor. This can be intolerable to designs that measure low-level analog signals. Also, the value of resistors can change over time, and in response to many sorts of environmental stress, with power dissipation and heat being the usual malefactors.
Technologies
There are many different types of resistors on the market today and some types are better suited than others to specific challenges when high precision, high stability, are required. Generally speaking, precision metal film resistors perform well on this basis. Microhm Electronics' NLT series exhibit TCRs as low as 1 ppm and the tolerance down to 0.01%.
Specifying a precision resistor can be a daunting task, and they are not inexpensive. The designer needs to completely understand the environmental stresses the final product will need to survive, and carefully study the datasheets offered by reputable manufacturers, such as Microhm Electronics.