SOLUTIONS MANUAL
, 1
Circuit Variables
Assessment Problems
AP 1.1 Use a product of ratios to convert two-thirds the speed of light from
meters per second to miles per second:
2 3 × 108 m 100 cm 1 in 1 ft 1 mile 124,274.24 miles
· · · · =
3 1s 1m 2.54 12 5280 feet 1s
cm in
Now set up a proportion to determine how long it takes this signal to
travel 1100 miles:
124,274.24 miles 1100 miles
=
1s x s
Therefore,
1100
x= = 0.00885 = 8.85 × 10−3 s = 8.85 ms
124,274.2
4
AP 1.2 To solve this problem we use a product of ratios to change units from
dollars/year to dollars/millisecond. We begin by expressing $10
billion in scientific notation:
$100 billion = $100 × 109
Now we determine the number of milliseconds in one year, again using
a product of ratios:
1 year 1 day 1 hour 1 min 1 sec 1 year
· · · · =
365.25 days 24 60 mins 60 secs 1000 31.5576 × 109 ms
hours ms
Now we can convert from dollars/year to dollars/millisecond, again
with a product of ratios:
$100 × 109 1 year 100
· = = $3.17/ms
1 year 31.5576 × 109 ms 31.5576
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© 2010 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved. This publication is protected by Copyright and written permission should be
obtained from the publisher prior to any prohibited reproduction, storage in a retrieval system, or transmission in any form or by any means, electronic,
mechanical, photocopying, recording, or likewise. For information regarding permission(s), write to: Rights and Permissions Department,
Pearson Education, Inc., Upper Saddle River, NJ 07458.
,