A certain op amp has the maximum offset voltage magnitude of Vos = 1 mV, the max
ID: 2248337 • Letter: A
Question
A certain op amp has the maximum offset voltage magnitude of Vos = 1 mV, the maximum bias current of Ib = 290 nA and the maximum offset current magnitude of Ios = 34.8 nA. The op amp is used in the noninverting amplifier shown in the diagram below.
1. Find the worst-case DC output voltage range if vi = 0 and Rbias = 0.
2. What should be the value of Rbias to cancel the effect of bias currents?
3. Repeat p.1 for vi = 0 and Rbias calculated in p.2.
Vi Rbias Vo R2 R1 51k 5.1 k © Ben Rodanski Version A.28Explanation / Answer
1) Let Worst case output voltage when Vi=0 and Rbias = 0 be VooT and is given by
VooT = Voo + Voib ( Voo = output voltage due to Vos and Voib = output voltage due to Ib )
VooT = ( 1 + R2/R1)Vos + R2Ib
VooT = ( 1 + 51K/5.1K )1mV + 51K*290nA
VooT = 11 mV + 4.59 mV
VooT = 15.59 mV .....................1
This is the required worst case DC output voltage
2)Rbias should have following value to cancel effect of bias current as below:
Rbias = (R1R2) / (R1 +R2 )
=51*5.1/ (51 + 5.1 )
Rbias =4.64 K Ohm ........................2
This is the required value of Rbias to cancel effect of bias current.
3)When we use Rbias calculated in 2 i.e. 4.64 K Ohm the output voltage VooT is given by
VooT = ( 1 + R2/R1)Vos + R2Ios
VooT = ( 1 + 51K/5.1K )1mV + 51K*34.8nA
VooT = 11 mV + 1.77 mV
VooT = 12.77 mV .....................3
This is the required worst case DC output voltage when Rbias = 4.64 K ohm is used
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