Exam (elaborations)
Solution Manual for Electric Circuits 11th Edition by James Nilsson, Susan Reidel
- Course
- Institution
Solution Manual for Electric Circuits 11th Edition by James Nilsson, Susan Reidel
[Show more]
Content preview
Instructor Solution ManualElectric Circuits
AUTHOR: James Nilsson, Susan Reidel
11th Edition
mechanical, photocopying, recording, or likewise. For information regarding permission(s), write to: Rights and Permissions Department,
Pearson Education, Inc., Upper Saddle River, NJ 07458.
, 1
Circuit Variables
Assessment Problems
AP 1.1 Use A Product Of Ratios To Convert Two-Thirds The Speed Of Light From
MetersPer 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 cm 12 in 5280 feet 1s
Now Set Up A Proportion To Determine How Long It Takes This Signal To
Travel1100 Miles:
124,274.24 Miles 1100 Miles
=
1S XS
Therefore,
1100 −3
S = 8.85 Ms
X
10= 124,274.24 = 0.00885 = 8.85 ×
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 1 1 Min 1 Sec 1 Year
Day Hour
· · · · =
365.25 Days 24 Hours 60 Mins 60 Secs 1000 Ms 31.5576 × 109 Ms
Now We Can Convert From Dollars/Year To Dollars/Millisecond, Again With
AProduct Of Ratios:
$100 × 109 1 Year 100
· = = $3.17/Ms
1 Year 31.5576 × 109 Ms 31.5576
mechanical, photocopying, recording, or likewise. For information regarding permission(s), write to: Rights and Permissions Department,
Pearson Education, Inc., Upper Saddle River, NJ 07458.
, 1–2 CHAPTER 1. Circuit Variables
AP 1.3 Remember From Eq. (1.2), Current Is The Time Rate Of Change Of Charge, Or
i =Dq dtIn This Problem, We Are Given The Current And Asked To find The Total
Charge. To Do This, We Must Integrate Eq. (1.2) To find An Expression For
Charge In Terms Of Current:
∫ T
Q(T) = I(X) Dx
0
We Are Given The Expression For Current, I, Which Can Be Substituted Into
∞T In The Integral.
The Above Expression. To find The Total Charge, We→Let
ThusWe Have
∫ ∞ .∞
20 .
−5000x.
Qtotal = 20e−5000x Dx E . = — E0 )
0
= −5000 0 (E−
∞ 20
−5000
20 20
= (0 − 1) = = 0.004 C = 4000 µc
−5000 5000
AP 1.4 Recall From Eq. (1.2) That Current Is The Time Rate Of Change Of Charge, Or
I = Dqdt. In This Problem We Are Given An Expression For The Charge, And Asked
Tofind The Maximum Current. First We Will find An Expression For The
Current Using Eq. (1.2):
Dq D 1 T 1 −Αt
I= =
DtDt Α2 − Α + Α2 E
D T D
D 1— — 1
=
Dt Α2 E −Αt Α2 −Αt
Α E
Dt Dt
1 −Α T 1
= 0− E
t —Α e −Αt −
−Α 2 E −Αt
Α α α
1 1 −Αt
= − +T+ E
Α Α
= Te−Αt
Now That We Have An Expression For The Current, We Can find The
Maximum Value Of The Current By Setting The first Derivative Of The Current
To Zero AndSolving For T:
Di D
= (Te−Αt) = E−Αt + T(−Α)Eαt = (1 − Αt)E−Αt = 0
dt dt
Since E−Αt Never Equals 0 For A finite Value Of T, The Expression Equals 0 Only
When (1 − Αt) = 0. Thus, T = 1/Α Will Cause The Current To Be Maximum.
, For This Value Of T, The Current Is
1 −Α/Α 1 −1
I= E = E
Α Α
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller kylaexcell. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $15.99. You're not tied to anything after your purchase.
Can Stuvia be trusted?
4.6 stars on Google & Trustpilot (+1000 reviews)
66579 documents were sold in the last 30 days
Founded in 2010, the go-to place to buy study notes for 14 years now
