QIRefRGRMA1VouVOUTDigital ADACIInput, DINVDACFigure QIFigure QI shows the circuit used to condition the output of the n- bit Digitalto Analog Converter "DACI" having a digital input value of Dw. DACI maybe assumed to have a voltage output with zero source resistance coded in"straight binary" such that• For a binary input of Dy = 000...000 the output voltage vaac is 0 V• For a binary input of Dw = 111..111 the output voltage vaac is VnWhere Vg is a positive voltage reference.Neglecting Ry and assuming that opamp Al is ideal, show that the outputvoltage v, is(а)OUTR.for D, - 000000R(i)Vay-ref(ii)Vor for D,-111..111Hence choose values of Ro and R to give an output voltage range-V Svar S(iii)Re-draw Figure Q1 to show all sources of DC opamp error and say why theyhave the signs you have given them.(b)Hence derive an expression for the emor in vug due to opamp DC input cur.and voltage errors including both bias and offset currents.(c)If the two resistors R and R, have a tolerance of + p% what is the error inVour due to resistor tolerance for(d)(i)Day = 111.11?(ii)Dy= 000..000?DACI is a 16 bit DAC and Vg has a value of +4-096 V. What is the value ofthe minimum voltage change at vour, ie. the voltage change when Dw isincreased by I bit?(e)Al is one of the three opamps indicated below in Table Q1. Choose appropriatevalues of Ru. Ra and Ru and explain why you chose these values.()Offset voltage, pV20Offset currentI nA0.5 pA40 fAOpampOPA277EBias currentI nAI pAAD8616ARZ60LMP772IMA18020 fATable QI(g)(i)Using your answers from (c) and (), define a figure of merit for Al andhence select the best opamp for the circuit.(ii)How many bits of error do the opamp DC voltage and current erorcontribute?(h)Resistors are available with tolerances of 1%, 0.1% and 0.01% with prices of£0.002, £0.027 and £7.60 respectively. Single turn potentiometers cost £0.07and ten turn trimmer potentiometers cost £0.68.If the resistors must cause no more error than 1 bit, design a circuit using fixedresistors and a potentiometer to allow the output to be trimmed to within 1 leastsignificant bit accuracy over its full range, neglecting errors other than resistortolerance. The adjustment range of the potentiometer should be just enough toallow the output accuracy to be achieved. Specify the tolerance of all fixedresistors used.Hint: In (h), the question does not contain all the information you need tocomplete the design, so you will need to use your judgement on some thineThese decisions should be stated and justified

a) Given : DIN=000....000Output voltage, VDAC=0 VDIN=111....111Output voltage, VDAC=Vref

RG RM AI VOUT Digital Input, Di DACI Figure QI Figure QI shows the circuit used to condition the output of the n- bit Digital to Analog Converter "DACI" having a digital input value of Da. DACI may be assumed to have a voltage output with zero source resistance coded in "straight binary" such that • For a binary input of Dw000...000 the output voltage vae is 0 V

RG RM AI VOUT Digital Input, Di DACI Figure QI Figure QI shows the circuit used to condition the output of the n- bit Digital to Analog Converter "DACI" having a digital input value of Da. DACI may be assumed to have a voltage output with zero source resistance coded in "straight binary" such that • For a binary input of Dw000...000 the output voltage vae is 0 V

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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