ELECTRIC CIRCUIT PROBLEMS
WITH SOLUTIONS
,Electric Circuit Problems
with Solutions
F. A. BENSON
D.Eng., Ph.D., F.LE.E., Sen.M.LE.E., F.Illum.E.S.
Professor of Electronic and Electrical Engineering,
University of Sheffield
LONDON
CHAPMAN AND HALL
, First published 1967 by
E & F. N. Spon Ltd.,
Second edition published 1975
by Chapman and Hall Ltd.
11 New Fetter Lane, London E4CP 4EE
© 1975 F. A. Benson
TSBN-13: 978-0-412-21260-4 e-TSBN-13: 978-94-009-5847-0
DOT: 10.1007/978-94-009-5847-0
This paperback edition is sold subject to the
condition that it shall not, by way of trade or
otherwise, be lent, re-sold, hired out, or
otherwise circulated without the Publisher's
prior consent in any form of binding or cover
other than that in which it is published and
without a similar condition including this
condition being imposed on the subsequent
purchaser.
All rights reserved. No part of this book
may be reprinted, or reproduced or utilized in
any form or by any electronic, mechanical or
other means, now known or hereafter invented,
including photocopying and recording, or in
any information storage and retrieval system,
without permission in writing from the
Publisher.
Distribute by the U.S.A.
by Halsted Press, a Division
of John Wiley & Sons, Inc., New York
Library of Congress Catalog Card Number 74-33176
, PREFACE TO THE FIRST EDITION
Electrical-engineering and electronic-engineering students have
frequently to resolve and simplify quite complex circuits in order
to understand them or to obtain numerical results and a sound
knowledge of basic circuit theory is therefore essential. The author is
very much in favour of tutorials and the solving of problems as a
method of education. Experience shows that many engineering
students encounter difficulties when they first apply their theoretical
knowledge to practical problems.
Over a period of about twenty years the author has collected a
large number of problems on electric circuits while giving lectures
to students attending the first two post-intermediate years of Uni-
versity engineering courses. The purpose of this book is to present
these problems (a total of 365) together with many solutions (some
problems, with answers, given at the end of each Chapter, are left
as student exercises) in the hope that they will prove of value to other
teachers and students. Solutions are separated from the problems
so that they will not be seen by accident. The answer is given at the
end of each problem, however, for convenience.
Parts of the book are based on the author's previous work Electrical
Engineering Problems with Solutions which was published in 1954.
Very specialized material in the earlier book, such as electrochemistry,
machine windings and illumination, has been omitted together with
elementary problems on units and circuit parameters while other
topics have now been introduced or covered much more fully. It has
been necessary to limit the number of examples so some subjects,
such as topology and signal-flow graphs, which readers may expect
to find included have had to be left out and others have had less
space devoted to them than one would have liked. Valve and tran-
sistor circuits have not been dealt with as these are covered in con-
siderable detail in the author's existing book Problems in Electronics
with Solutions. For the same reason coupled circuits, more advanced
problems on transients in circuits and Fourier-series representation
of non-sinusoidal waveforms have been omitted.
The author cannot possibly claim that all the problems in the
collection are original and it is impossible to acknowledge the sources
v
WITH SOLUTIONS
,Electric Circuit Problems
with Solutions
F. A. BENSON
D.Eng., Ph.D., F.LE.E., Sen.M.LE.E., F.Illum.E.S.
Professor of Electronic and Electrical Engineering,
University of Sheffield
LONDON
CHAPMAN AND HALL
, First published 1967 by
E & F. N. Spon Ltd.,
Second edition published 1975
by Chapman and Hall Ltd.
11 New Fetter Lane, London E4CP 4EE
© 1975 F. A. Benson
TSBN-13: 978-0-412-21260-4 e-TSBN-13: 978-94-009-5847-0
DOT: 10.1007/978-94-009-5847-0
This paperback edition is sold subject to the
condition that it shall not, by way of trade or
otherwise, be lent, re-sold, hired out, or
otherwise circulated without the Publisher's
prior consent in any form of binding or cover
other than that in which it is published and
without a similar condition including this
condition being imposed on the subsequent
purchaser.
All rights reserved. No part of this book
may be reprinted, or reproduced or utilized in
any form or by any electronic, mechanical or
other means, now known or hereafter invented,
including photocopying and recording, or in
any information storage and retrieval system,
without permission in writing from the
Publisher.
Distribute by the U.S.A.
by Halsted Press, a Division
of John Wiley & Sons, Inc., New York
Library of Congress Catalog Card Number 74-33176
, PREFACE TO THE FIRST EDITION
Electrical-engineering and electronic-engineering students have
frequently to resolve and simplify quite complex circuits in order
to understand them or to obtain numerical results and a sound
knowledge of basic circuit theory is therefore essential. The author is
very much in favour of tutorials and the solving of problems as a
method of education. Experience shows that many engineering
students encounter difficulties when they first apply their theoretical
knowledge to practical problems.
Over a period of about twenty years the author has collected a
large number of problems on electric circuits while giving lectures
to students attending the first two post-intermediate years of Uni-
versity engineering courses. The purpose of this book is to present
these problems (a total of 365) together with many solutions (some
problems, with answers, given at the end of each Chapter, are left
as student exercises) in the hope that they will prove of value to other
teachers and students. Solutions are separated from the problems
so that they will not be seen by accident. The answer is given at the
end of each problem, however, for convenience.
Parts of the book are based on the author's previous work Electrical
Engineering Problems with Solutions which was published in 1954.
Very specialized material in the earlier book, such as electrochemistry,
machine windings and illumination, has been omitted together with
elementary problems on units and circuit parameters while other
topics have now been introduced or covered much more fully. It has
been necessary to limit the number of examples so some subjects,
such as topology and signal-flow graphs, which readers may expect
to find included have had to be left out and others have had less
space devoted to them than one would have liked. Valve and tran-
sistor circuits have not been dealt with as these are covered in con-
siderable detail in the author's existing book Problems in Electronics
with Solutions. For the same reason coupled circuits, more advanced
problems on transients in circuits and Fourier-series representation
of non-sinusoidal waveforms have been omitted.
The author cannot possibly claim that all the problems in the
collection are original and it is impossible to acknowledge the sources
v