SLOA059B October   2022  – March 2023 OPA2991 , TLC2654 , TLC4502 , TLE2021 , TLV2721

 

  1.   Abstract
  2.   Trademarks
  3. 1Introduction
  4. 2Input Offset Voltage Defined
  5. 3Cause of VOS
  6. 4VOS and Temperature Drift in the Major Device Types
    1. 4.1 Bipolar
    2. 4.2 JFET
    3. 4.3 CMOS
  7. 5Manufacturer Measurement, Trim, and Specification of VOS
    1. 5.1 Measurement
    2. 5.2 Trim
    3. 5.3 Specifications
  8. 6Impact of VOS on Circuit Design and Methods of Correction
    1. 6.1 AC Coupling
    2. 6.2 DC Feedback
    3. 6.3 Internal Calibration
  9. 7Summary
  10. 8References
  11. 9Revision History

Bipolar

Bipolar op amps consist solely of bipolar junction transistors (BJTs). A wide range of performance specifications are available, ranging from low performance, widely used relics such as the LM324, to the more contemporary op amps such as the LM2904B and the precision op amp OPA828.

GUID-20220912-SS0I-DN5Q-BZZN-LF76FQLZQJDV-low.svgFigure 4-1 Bipolar Transistor Differential Pair Circuit. (left) Basic Circuit and (right) General Circuit Used to Calculate VOS

Substituting bipolar NPN transistors for Q1 and Q2 in the circuit of Figure 3-1 and setting R = R C provides the basic NPN bipolar differential input circuit shown on the left in Figure 4-1. Small resistors can also be placed at the emitter of the devices to improve linearity and speed at the cost of increased noise and decreased open-loop gain. This is normally done because it increases stability, but the effect is not discussed here.

In the bipolar process, VOS is created primarily by differences in the base width, emitter area, and doping levels of the base and collector of transistors Q1 and Q2 (see Gray and Meyer [2]). These errors create differences in the bias currents flowing in the base of the differential pair. The overall result is a difference in the VBE values of Q1and Q2, which causes the differential voltage VOS to appear across the op amp inputs.

When the inputs are grounded, a loop is formed as shown on the right in Figure 4-1. Kirchoff's Voltage Law (KVL) is then used to obtain Equation 13, rewritten in the form of Equation 14. VBE is defined in Equation 8, where the term kT/q is known as the thermal voltage (VT), IC is the collector current, and IS is the reverse saturation current. Then is substituted into Equation 14 and manipulated into the form in Equation 4:

Equation 1. - V OS + V BE 1 - V BE 2 = 0
Equation 2. V OS = V BE 1 - V BE 2
Equation 3. V BE = kT q ln I C I S
Equation 4. V OS = kT q ln I C 1 I C 2 · I S 2 I S 1

The errors introduced in Equation 4 by the IC terms are due to the mismatch in the RC resistors. The IS-term errors are due primarily to mismatches in the area of the emitter and the width and doping of the base (see Gray and Meyer [2]). The value of VT (kT/q) is material-dependent (for example, 26 mV for silicon) and is inherent in all transistors. This term has the largest impact on VOS and its drift with temperature. As T changes, VOS predictably changes, as shown in Equation 5.

Equation 5. V O S = V O S 25 ° C + V O S T · T