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Electronics For Scientists – Daniel F Santavicca

(Note that here we’ve drawn the non-inverting input on the top! Sometimes, as is the case here, doing so makes the diagram prettier.) How does this work? Remember that the output must change so as to keep the input it’s connected to (the inverting input in this case) equal in voltage to the other input, when there’s negative feedback at work, as is the case here. Let’s say the non-inverting input is at 1 V.
What voltage does the output have to get to such that the voltage at the inverting input is also 1 V? There’s a voltage divider present, with the output at the top, the inverting input at the middle, and ground at the bottom. So, the output must get to 3 V such that there’s 1 V present at the inverting input, thus the gain of the amplifier is 3. Whatever voltage is present at the non-inverting input (positive or negative!), the output voltage will be 3 times larger.
In general, the gain is 1 + R2/R1. Note that in the limit that R2 is 0 Ω (a wire) and R1 is infinity Ω (open), we have gain of 1, so we recover the simple emitter- follower buffer from above. The input impedance is very large, which is a great thing, since it goes directly into an op-amp input.
But, there’s no way to get a gain less than 1, or a negative (inverting) Op-amps gain. And the common mode voltage (average of the two inputs) varies far from 0, leading to possible distortion. Inverting Amplifier The inverting op-amp configuration, shown in the following figure, solves these issues. The tradeoffis that input impedance is now small, equal to R1, and it always inverts the signal. The non-inverting input is grounded. So the op-amp must adjust the output so that the invert- ing input is also at 0 V.
The inverting input is called a virtual ground in this case. It’s not really a ground, but the voltage there will be kept at 0 V by the op-amp (or at least it will try to keep it at 0 V). There is again a voltage divider, with the output at the top, the inverting input in the middle, and the input signal at the bottom. For the case shown in the following figure, if the input signal from the signal generator is at 1 V, the output would need to be at −3 V to make the voltage at the inverting input 0 V.
Thus, both inputs are always very near ground, so the common mode voltage is very small, thus there’s very little risk of distortion.
This page intentionally left blank This page intentionally left blank This page intentionally left blank This page intentionally left blank NEW JERSEY • LONDON • SINGAPORE • BEIJING • SHANGHAI • HONG KONG • TAIPEI • CHENNAI • TOKYO ELECTRONICS FOR SCIENTISTS Practical Essentials for Modern Research Andrew C Haas New York University, USA Published by World Scientific Publishing Co. Pte. Ltd. 5 Toh Tuck Link, Singapore 596224 USA office: 27 Warren Street, Suite 401-402, Hackensack, NJ 07601 UK office: 57 Shelton Street, Covent Garden, London WC2H 9HE Library of Congress Control Number: 2025032520 British Library Cataloguing-in-Publication Data A catalogue record for this book is available from the British Library.
ELECTRONICS FOR SCIENTISTS Practical Essentials For Modern Research Copyright © 2026 by World Scientific Publishing Co. Pte. Ltd. All rights reserved. This book, or parts thereof, may not be reproduced in any form or by any means, electronic or mechanical, including photocopying, recording or any information storage and retrieval system now known or to be invented, without written permission from the publisher. For photocopying of material in this volume, please pay a copying fee through the Copyright Clearance Center, Inc., 222 Rosewood Drive, Danvers, MA 01923, USA.
In this case permission to photocopy is not required from the publisher. ISBN 9789819821556 (hardcover) ISBN 9789819821563 (ebook for institutions) ISBN 9789819821570 (ebook for individuals) For any available supplementary material, please visit https://www.worldscientific.com/worldscibooks/10.1142/14535#t=suppl Desk Editors: Eshak Nabi Akbar Ali/Muhammad Ihsan Typeset by Stallion Press Email: [email protected] Printed in Singapore Foreword Electronics have become central to experimental science, and are only becoming more important with each passing year. They are essential parts of experimental setups, from small quantum computing experi- ments to the mega particle detectors at the LHC.
Most of these elec- tronics are either purchased from professional companies or designed by professional engineers hired by the experiments. But scientists must understand them in order to design the setups and experiments in the first place, and integrate them into the experiments optimally. They also need to know some basic electronics to debug, test, and use these fancy setups. Students can often only make good progress doing research on experiments if they have basic electronics knowledge.
This is a short excerpt from the opening of “” by Unknown, quoted for review and introduction purposes. All rights belong to the copyright holders.
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