**Resistors 101**

### Contents

Introduction

Resistor Videos

What is a Resistor?

What is Ohm's Law?

Common Resistor Terminology

Selection Guides for Special Types of Resistors

Wire bondable

Ultra-precision current sense resistors

Ultra-precision foil resistors

High-temp, high-value, wire bondable

## Introduction

This Resistors 101 provides an overview of the resistor types and common terminology, before going on to show a summary of resistor products and the various technologies.

## Resistor Videos

## What is a Resistor?

The resistor is the most common and well-known of the passive electrical components. A resistor resists or limits the flow of electric current in a circuit. There are many uses for resistors: they are used to drop voltage, limit current, attenuate signals, act as heaters, act as fuses, furnish electrical loads and divide voltages.

## What is Ohm's Law?

Ohm’s law is a simple equation that shows the relationship between resistance, voltage and current through a metal wire, or some other type of resistive material. In mathematical terms, Ohm’s law is written as:

**I = V/R**

where I is the current (amps), V is the voltage, and R is the resistance.

Ohm’s law can also show the relationship between resistance, voltage and power using the following equation:

**P = (V*V)/R**

where P is the power (watts), V is the voltage, and R is the resistance.

## Types of Resistors

## Fixed Resistors

A fixed resistor is one in which the value of its resistance cannot change.

## Variable Resistors

A variable resistor is a resistor whose value can be adjusted by turning a shaft or sliding a control. They are also called potentiometers or rheostats and allow the resistance of the device to be altered by hand.

## Non-Linear Resistors

A non-linear resistor is a resistor that has resistances that vary significantly with applied voltage, temperature or light. Types of non-linear resistors are varistors, thermistors and photoresistors.

## Common Resistor Terminology

## Critical Resistance Value

The maximum nominal resistance value at which the rated power can be loaded without exceeding the maximum working voltage. The rated voltage is equal to the maximum working voltage in the critical resistance value.

## De-rating Curve

The curve that expresses the relation between the ambient temperature and the maximum value of continuously loadable power at its temperature, which is generally expressed as a percentage.

## Dielectric Withstanding Voltage

The rated voltage that can be applied to a designated point between the resistive element and the outer coating, or the resistive element and the mounting surface, without causing dielectric breakdown.

## Electrostatic Discharge (ESD) Sensitivity

In resistors, ESD sensitivity is a function of their size. The smaller the resistor, the less space there is to spread the energy pulsed through it from the ESD. This energy concentration in a small area of a resistor’s active element causes it to heat up, which could lead to irreversible damage. With the growing trend of miniaturization, electronic devices, including resistors, are becoming smaller and smaller, causing them to be more prone to ESD damage.

## Load Life Stability

Load life stability is the characteristic most relied upon to demonstrate a resistor’s long-term reliability. Military testing requirements to 10,000 hours with limits on amount of shift and the resistors value and the number of failures results in a failure rate evaluation. (Please see the "Precision Current Sensing" under our "applications" section on this website for a complete explanation.

## Maximum Overload Voltage

The maximum value of voltage capable of being applied to resistors for a short period of time in the overload test. Typically the applied voltage in the short time overload test is 2.5 times larger than the rated voltage. However, it should not exceed the maximum overload voltage.

## Maximum Working Voltage (or Maximum Limiting Element Voltage)

The maximum value of DC voltage or AC voltage (rms) capable of being applied continuously to resistors or element. However, the maximum value of the applicable voltage is the rated voltage at the critical resistance value or lower.

## Noise

Noise is an unwanted AC signal from within the resistor. Resistive noise can have a devastating effect on low-level signals, charge amplifiers, high gain amplifiers, and other applications sensitive to noise. The best approach is to use resistor types with low or minimal noise in applications that are sensitive to noise.

## Power Rating

Power ratings are based on physical size, allowable change in resistance over life, thermal conductivity of materials, insulating and resistive materials, and ambient operating conditions. For best results, employ the largest physical size resistors at less than their maximum rated temperature and power.

## Rated Ambient Temperature

The maximum ambient temperature at which resistors are capable of being used continuously with the prescribed rated power. The rated ambient temperature refers to the temperature around the resistors inside the equipment, not to the air temperature outside the equipment.

## Rated Power

The maximum amount of power that can be continuously loaded to a resistor at a rated ambient temperature. Network and array products have both rated power per package as well as per element.

## Rated Voltage

The maximum value of DC voltage or AC voltage (rms) capable of being applied continuously to resistors at the rated ambient temperature.

## Reliability

Reliability is the probability that a resistor (or any other device) will perform its desired function. There are two ways of defining reliability. One is Mean Time Between Failures (MTBF) and the other is Failure Rate per 1000 hours of operation. Both of these means of evaluating reliability must be determined with a specific group of tests and a definition of what is the end of life for a device, such as a maximum change in resistance or a catastrophic failure (short or open). Various statistical studies are used to arrive at these failure rates and large samples are tested at the maximum rated temperature with rated load for up to 10 000 hours (24 hours per day for approximately 13 months). Reliability is generally higher at lower power levels.

## High Speed and Response Time

The equivalent circuit of a resistor, as shown in Figure 1, combines a resistor in series with an inductance and in parallel with a capacitance (PLC). Resistors can perform like an R/C circuit, filter or inductor depending on their geometry. In spiraled and wire-wound resistors, these reactances are created by the loops and spaces formed by the spirals or turns of wire.

## Resistor Tolerance

Resistor tolerance is expressed as the deviations from nominal value in percent and is typically measured at 25 °C. A resistor’s value will also change with applied voltage (VCR) and temperature (TCR). For networks, absolute resistor tolerance refers to the overall tolerance of the network. Ratio tolerance refers to the relationship of each resistor to the others in the package.

## Stability

Stability is the change in resistance with time at a specific load, humidity level, stress, or ambient temperature. When these stresses are minimized, the better the stability. Temperature Coefficient of Resistance (TCR also known as RTC) TCR is expressed as the change in resistance in ppm (0.0001 %) with each degree Celsius of change in temperature. TCR is typically referenced at + 25 ˚C and changes as the temperature increases (or decreases). A resistor with a TCR of 100 ppm/°C will change 0.1 % over a 10 °C change and 1 % over a 100 °C change. In the context of a resistor network, the TCR value is called the absolute TCR in that it defines the TCR of a specific resistor element. The term TCR tracking refers to the difference in TCR between each specific resistor in a network.

## Temperature Rating

Temperature rating is the maximum allowable temperature at which the resistor may be used. It is generally defined with two temperatures. For example, a resistor may be rated at full load up to + 70 °C derated to no load at + 125 °C. This means that with certain allowable changes in resistance over the life of the resistor, it may be operated at + 70 °C at rated power. It also may be operated with temperatures in excess of + 70 °C if the load is reduced, but in no case should the temperature exceed the design temperature of + 125 ˚C with a combination of ambient temperature and self-heating due to the applied load.

## Voltage Coefficient of Resistance (VCR)

The voltage coefficient 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 % over a 10 V change and 1 % over a 100 V change. In the context of a resistor network, this VCR value is called the absolute VCR in that it defines the VCR of a specific resistor element. The term VCR tracking refers to the difference in VCR between each specific resistor in a network.

## Selection Guides to Special Types of Resistors

## Wire Bondable Resistors (click image for more info)

Wire bondable resistors are used in hybrid packages where space is limited. A variety of configurations, values and tolerances are available with low-ohmic contacts for connecting the resistor to the substrate. They are 100 % electrically tested and visually inspected to MIL-STD-883. They provide excellent power capacity.

## Ultra-Precision Current Sense Resistors (click image for more information)

Precision current sensing resistors are used were accuracy is of paramount importance. There are many control-system applications where the accurate measurement of current flow is required. In many of these applications the measurement circuits must provide accurate feedback of system current flow(s) across a very broad range of operating temperatures. Components in these applications require a minimal absolute temperature coefficient variation to ensure accurate feedback and efficient control system operation. For the highest level of accuracy four-leaded “Kelvin Resistors” are available. The 4-terminal configuration eliminates the IR-drop error voltage that would be present in the voltage sense leads if a standard two-terminal resistor were used. They are commonly used in applications where the value of the sense resistor in 0.1Ω or less and even as small as 0.01Ω.

**Ultra-precision foil resistors (click image for more information)**

Ultra-precision foil resistors provide very low temperature coefficient of resistance (TCR) and exceptional long-term stability even in extreme temperatures. The devices provide a wide range of resistance values, including any specific resistance value within their given ranges. They are perfect for applications requiring precision biasing across a broad variance in temperature. They are not subject to joule effects and are great when identical value resistors are used in a biasing circuit and those resistors must have perfect tracking, regardless of their respective current flows.

## High-temp, high-value, wire bondable (click image for more information)

Rev-1

High-temperature high-value, wire bondable resistors are available for hybrid module applications as single resistors and resistor networks. They offer low temperature coefficient: 10ppm/°C (- 55 °C; + 155 °C) - 5ppm/°C (- 25 °C; + 85 °C) and available as bare chips and with wraparound connections in sizes down to 20 mils x 20 mils. They come and a broad range of values from up to 100 MΩ.