AN-735 APPLICATION NOTE One Technology Way • P.O. Box 9106 • Norwood, MA 02062-9106 • Tel: 781/329-4700 • Fax: 781/326-8703 • www.analog.com Universal Precision Op Amp Evaluation Board in SOT-23 Package by Giampaolo Marino, Soufiane Bendaoud, and Steve Ranta INTRODUCTION The EVAL-PRAOPAMP-1RJ is an evaluation board which accommodates single op amps in SOT-23 packages. It is meant to provide the user with multiple choices and extensive flexibility for different applications circuits and configurations. This board is not intended to be used with high frequency components or high speed amplifiers. However, it provides the user with many combinations for various circuit types including active filters, differential amplifiers, and external frequency compensation circuits. A few examples of application circuits are given in this application note. f C = 1/(2 R7 C7); –3 dB frequency fL = 1/(2 R2 C7); unity gain frequency Acl = –(R7/R2); close loop gain R6 should be chosen equal to the parallel combination between R7 and R2 in order to minimize errors due to bias currents. �� �� ��� LOW-PASS FILTER Figure 1 is a typical representation of a first-order lowpass filter. This circuit has a 6 dB per octave roll-off after a close-loop –3 dB point defined by f C. Gain below this frequency is defined as the magnitude of R7 to R2. The circuit might be considered as an ac integrator for frequencies well above f C ; however, the time domain response is that of a single RC, rather than an integral. �� �� ���� ���� �� ���� �� �� ���� �� �� ���� ���� Figure 2. Difference Amplifier �� �� �� �� � ��� ����� � ��� � ��� ���� ����� �������� ��������� Figure 1. Simple Low-Pass Filter ������ DIFFERENCE AMPLIFIER AND PERFORMANCE OPTIMIZATION Figure 2 shows an op amp configured as a difference amplifier. The difference amplifier is the complement of the summing amplifier, and allows the subtraction of two voltages or the cancellation of a signal common to both inputs. The circuit shown in Figure 2 is useful as a computational amplifier in making a differential to single-ended conversion or in rejecting a commonmode signal. The output voltage VOUT is comprised of two separate components: 1. A component VOUT1 due to VIN1 acting alone (VIN2 short circuited to ground.) 2. A component VOUT 2 due to VIN2 acting alone (VIN1 short circuited to ground.) REV. A AN-735 The algebraic sum of these two components should be equal to VOUT. By applying the principles expressed in the output voltage VOUT components, and by letting R4 = R2 and R7 = R6, then: CURRENT-TO-VOLTAGE CONVERTER Current may be measured in two ways with an operational amplifier. Current can be converted to a voltage with a resistor and then amplified or injected directly into a summing node. VOUT1 = VIN1 R7/R2 �� VOUT2 = –VIN2 R7/R2 VOUT = VOUT1 + VOUT2 = ( VIN1 – VIN2) R7/R1 Difference amplifiers are commonly used in high accuracy circuits to improve the common-mode rejection ratio, typically known as CMRR. ���� �� ���� � ���� � �� For this type of application, CMRR depends upon how tightly matched resistors are used; poorly matched resistors result in a low value of CMRR. Figure 3. Current-to-Voltage Converter Figure 3 is a typical representation of a current-to-voltage transducer. The input current is fed directly into the summing node and the amplifier output voltage changes to exactly the same current from the summing node through R7. The scale factor of this circuit is R7 volts per amps. The only conversion error in this circuit is IBIAS, which is summed algebraically with IIN. To see how this works, consider a hypothetical source of error for resistor R7 (1 – error). Using the superposition principle and letting R4 = R2 and R7 = R6, the output voltage would be as follows: VOUT ���� Ï È R 7 Ê R 2 + 2R 7 ˆ error ˘ ¸ ÔÍ Á1 - R 2 + R 7 ˜ ¥ 2 ˙ Ô ¯ ˙˚ Ô Ô ÍÎ R 2 Ë =Ì ˝ Ê ˆ R 7 Ô VD + Ô ¥ error Á R2 + R7 ˜ Ô Ô Ë ¯ Ó ˛ �� VDD = VIN 2 - VIN 1 �� �� �� �� From this equation, ACM and A DM can be defined as follows: ���� �� ACM = R7/(R7 – R2) error Figure 4. Bistable Multivibrator ADM = R7/R2 {1 – [(R2+2R7/R2+R7) error/2]} These equations demonstrate that when there is not an error in the resistor values, the ACM = 0 and the amplifier responds only to the differential voltage being applied to its inputs; under these conditions, the CMRR of the circuit becomes highly dependent on the CMRR of the amplifier selected for this job. �� As mentioned above, errors introduced by resistor mismatch can be a big drawback of discrete differential amplifiers, but there are different ways to optimize this circuit configuration: ��� � ��� �� 1. The differential gain is directly related to the ratio R7/ R2; therefore, one way to optimize the performance of this circuit is to place the amplifier in a high gain configuration. When larger values for resistors R7 and R6 and smaller values for resistor R2 and R4 are selected, the higher the gain, the higher the CMRR. For example, when R7 = R6 = 10 k, and R2 = R4 = 1 k, and error = 0.1%, CMRR improves to better than 80 dB. For high gain configuration, select amplifiers with very low Ib and very high gain (such as the AD8551, AD8571, AD8603, and AD8605) to reduce errors. ��� � ��� Figure 5. Output Response GENERATION OF SQUARE WAVEFORMS USING A BISTABLE MULTIVIBRATOR A square waveform can be simply generated by arranging the amplifier for a bistable multivibrator to switch states periodically as Figure 5 shows. Once the output of the amplifier reaches one of two possible levels, such as L+, capacitor C9 charges toward this level through resistor R7. The voltage across C9, which is applied to the negative input terminal of the amplifier denoted as V–, then rises exponentially toward L+ with a time constant = C9R7. Meanwhile, the voltage 2. Select resistors that have much tighter tolerance and accuracy. The more closely they are matched, the better the CMRR. For example, if a CMRR of 90 dB is needed, then match resistors to approximately 0.02%. –2– REV. A AN-735 at the positive input terminal of the amplifier, denoted as V+ = BL+. This continues until the capacitor voltage reaches the positive threshold V TH , at which point the bistable multivibrator switches to the other stable state in which VO = L– and V+ = BL–. This is shown in Figure 5. ������� ����������� �� � ���� �� � ��� The capacitor then begins to discharge, and its voltage, V–, decreases exponentially toward L–. This continues until V– reaches the negative threshold V TL, at which time the bistable multivibrator switches to the positive output state, and the cycle repeats itself. It is important to note that the frequency of the square wave being generated, f O, depends only on the external components being used. Any variation in L+ will cause V+ to vary in proportion, ensuring the same transition time and the same oscillation frequency. The maximum operating frequency is determined by the amplifier speed, which can be increased significantly by using faster devices. ���� ���������� Figure 8. Capacitive Load Drive with Resistor EXTERNAL COMPENSATION TECHNIQUES Series Resistor Compensation The use of external compensation networks may be required to optimize certain applications. Figure 6 is a typical representation of a series resistor compensation for stabilizing an op amp driving capacitive load. The stabilizing effect of the series resistor isolates the op amp output and the feedback network from the capacitive load. The required amount of series resistance depends on the part used, but values of 5 to 50 are usually sufficient to prevent local resonance. The disadvantages of this technique are a reduction in gain accuracy and extra distortion when driving nonlinear loads. The lowest operating frequency depends on the practical upper limits set by R7 and C9. Using the name convention outlined on the PRA OPAMP evaluation board, the following circuit should be connected as follows: B = R4/(R4 + R9); feedback factor (noninverting input) T = 2R7 C9 ln((1 + B)/(1 – B)); period of oscillation f O = 1/T; oscillation frequency ��� ��� �� ��� ���� ���� �� ��� Figure 6. Series Resistor Compensation �� �� �� �� Figure 9. Snubber Network �� � ���� �� � ��� ������� ����������� ������� ����������� �� � ���� �� � ��� ��� ���� ���������� ���� ���������� Figure 7. Capacitive Load Drive Without Resistor REV. A ��� Figure 10. Capacitive Load Drive Without Snubber –3– Snubber Network Another way to stabilize an op amp driving a capacitive load is with the use of a snubber, as shown in Figure 9. This method presents the significant advantage of not reducing the output swing because there is not any isolation resistor in the signal path. Also, the use of the snubber does not degrade the gain accuracy or cause extra distortion when driving a nonlinear load. The exact RS and CS combinations can be determined experimentally. ������� ����������� �� � ���� �� � ����� �� � ���� �� � ��� ���� ���������� Figure 11. Capacitive Load Drive with the Snubber �� ��� �� ��� ���� �� ��� �� �� ��� ��� �� ��� �� �� ��� ��� ������� ��������� �������� ��������� ��� ����������� ���� �� ���� ����� ������� ����� ��������� ���� ������ ������ ��������� ��� ���� ������ ������ ���������� �� ������ ���������� ��� �� ������� ������� ���� � ����� ������ ����� ������� ��� �������� ����� �� ��� ��� ��������� �������� ��������� ������ ������ ��� ����� ���� � ������� ������� ������� ������� ���� ������ ������ ����� ��� � � �� �� �� � � �� � ���� ��� �� ���� �� � �� �� �� ��� �� �� �� ��� �� �� �� ��� �� �� � ���� ��� Figure 12. EVAL-PRAOPAMP-1RJ Electrical Schematic Figure 13. EVAL-PRAOPAMP-1RJ Board Layout Patterns © 2004 Analog Devices, Inc. All rights reserved. Trademarks and registered trademarks are the property of their respective owners. –4– REV. A AN04898–0–8/04(A) AN-735

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