P1: OTE/SPH P2: OTE
JWBS171-Sol-fm JWBS171-Balanis January 22, 2016 21:46 Printer Name: Trim: 7in × 10in
SOLUTIONS MANUAL TO ACCOMPANY
ANTENNA THEORY
ANALYSIS AND DESIGN
FOURTH EDITION
Constantine A. Balanis
Arizona State University
iii
,P1: OTE/SPH P2: OTE
JWBS171-Sol-fm JWBS171-Balanis January 22, 2016 21:46 Printer Name: Trim: 7in × 10in
Copyright © 2016 by John Wiley & Sons, Inc. All rights reserved.
Published by John Wiley & Sons, Inc., Hoboken, New Jersey. Published simultaneously in Canada.
No part of this publication may be reproduced, stored in a retrieval system, or transmitted in any form or by any means,
electronic, mechanical, photocopying, recording, scanning, or otherwise, except as permitted under Section 107 or 108 of
the 1976 United States Copyright Act, without either the prior written permission of the Publisher, or authorization through
payment of the appropriate per-copy fee to the Copyright Clearance Center, Inc., 222 Rosewood Drive, Danvers, MA
01923, (978) 750-8400, fax (978) 750-4470, or on the web at www.copyright.com. Requests to the Publisher for permission
should be addressed to the Permissions Department, John Wiley & Sons, Inc., 111 River Street, Hoboken, NJ 07030, (201)
748-6011, fax (201) 748-6008, or online at http://www.wiley.com/go/permission.
Limit of Liability/Disclaimer of Warranty: While the publisher and author have used their best efforts in preparing this
book, they make no representations or warranties with respect to the accuracy or completeness of the contents of this book
and specifically disclaim any implied warranties of merchantability or fitness for a particular purpose. No warranty may be
created or extended by sales representatives or written sales materials. The advice and strategies contained herein may not
be suitable for your situation. You should consult with a professional where appropriate. Neither the publisher nor author
shall be liable for any loss of profit or any other commercial damages, including but not limited to special, incidental,
consequential, or other damages.
For general information on our other products and services or for technical support, please contact our Customer Care
Department within the United States at (800) 762-2974, outside the United States at (317) 572-3993 or fax (317) 572-4002.
Wiley also publishes its books in a variety of electronic formats. Some content that appears in print may not be available in
electronic formats. For more information about Wiley products, visit our web site at www.wiley.com.
Library of Congress Cataloging-in-Publication Data is available.
978-1-119-27374-5
Printed in the United States of America
10 9 8 7 6 5 4 3 2 1
iv
,P1: OTE/SPH P2: OTE
JWBS171-Sol-fm JWBS171-Balanis January 22, 2016 21:46 Printer Name: Trim: 7in × 10in
Contents
Preface vii
2 Solution Manual 1
3 Solution Manual 57
4 Solution Manual 65
5 Solution Manual 125
6 Solution Manual 151
7 Solution Manual 223
8 Solution Manual 267
9 Solution Manual 285
10 Solution Manual 307
11 Solution Manual 337
12 Solution Manual 349
13 Solution Manual 393
14 Solution Manual 423
15 Solution Manual 461
16 Solution Manual 487
v
, P1: OTE/SPH P2: OTE
JWBS171-Sol-fm JWBS171-Balanis January 22, 2016 21:46 Printer Name: Trim: 7in × 10in
vi
JWBS171-Sol-fm JWBS171-Balanis January 22, 2016 21:46 Printer Name: Trim: 7in × 10in
SOLUTIONS MANUAL TO ACCOMPANY
ANTENNA THEORY
ANALYSIS AND DESIGN
FOURTH EDITION
Constantine A. Balanis
Arizona State University
iii
,P1: OTE/SPH P2: OTE
JWBS171-Sol-fm JWBS171-Balanis January 22, 2016 21:46 Printer Name: Trim: 7in × 10in
Copyright © 2016 by John Wiley & Sons, Inc. All rights reserved.
Published by John Wiley & Sons, Inc., Hoboken, New Jersey. Published simultaneously in Canada.
No part of this publication may be reproduced, stored in a retrieval system, or transmitted in any form or by any means,
electronic, mechanical, photocopying, recording, scanning, or otherwise, except as permitted under Section 107 or 108 of
the 1976 United States Copyright Act, without either the prior written permission of the Publisher, or authorization through
payment of the appropriate per-copy fee to the Copyright Clearance Center, Inc., 222 Rosewood Drive, Danvers, MA
01923, (978) 750-8400, fax (978) 750-4470, or on the web at www.copyright.com. Requests to the Publisher for permission
should be addressed to the Permissions Department, John Wiley & Sons, Inc., 111 River Street, Hoboken, NJ 07030, (201)
748-6011, fax (201) 748-6008, or online at http://www.wiley.com/go/permission.
Limit of Liability/Disclaimer of Warranty: While the publisher and author have used their best efforts in preparing this
book, they make no representations or warranties with respect to the accuracy or completeness of the contents of this book
and specifically disclaim any implied warranties of merchantability or fitness for a particular purpose. No warranty may be
created or extended by sales representatives or written sales materials. The advice and strategies contained herein may not
be suitable for your situation. You should consult with a professional where appropriate. Neither the publisher nor author
shall be liable for any loss of profit or any other commercial damages, including but not limited to special, incidental,
consequential, or other damages.
For general information on our other products and services or for technical support, please contact our Customer Care
Department within the United States at (800) 762-2974, outside the United States at (317) 572-3993 or fax (317) 572-4002.
Wiley also publishes its books in a variety of electronic formats. Some content that appears in print may not be available in
electronic formats. For more information about Wiley products, visit our web site at www.wiley.com.
Library of Congress Cataloging-in-Publication Data is available.
978-1-119-27374-5
Printed in the United States of America
10 9 8 7 6 5 4 3 2 1
iv
,P1: OTE/SPH P2: OTE
JWBS171-Sol-fm JWBS171-Balanis January 22, 2016 21:46 Printer Name: Trim: 7in × 10in
Contents
Preface vii
2 Solution Manual 1
3 Solution Manual 57
4 Solution Manual 65
5 Solution Manual 125
6 Solution Manual 151
7 Solution Manual 223
8 Solution Manual 267
9 Solution Manual 285
10 Solution Manual 307
11 Solution Manual 337
12 Solution Manual 349
13 Solution Manual 393
14 Solution Manual 423
15 Solution Manual 461
16 Solution Manual 487
v
, P1: OTE/SPH P2: OTE
JWBS171-Sol-fm JWBS171-Balanis January 22, 2016 21:46 Printer Name: Trim: 7in × 10in
vi
