EBK PRINCIPLES OF ELECTRIC CIRCUITS
10th Edition
ISBN: 9780134880068
Author: Buchla
Publisher: VST
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Textbook Question
Chapter 1, Problem 30P
Determine the following:
- a. The number of microamperes in 1 milliampere
- b. The number of millivolts in 0.05 kilovolt
- c. The number of megohms in 0.02 kilohm
- d. The number of kilowatts in 155 milliwatts
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Q2)a) consider the Circuit in figure 2 with initial conditions of Vc (o) = 5V, I₁ (o) = 1A,
(i) redraw the circuit in the frequency domain using laplace Wansforms.
(ii)
using this circuit derive an
equation for the Voltage across the inductor in the time domain..
3.12
ww
=V/3F
ZH
(figure 2)
d) Solve the following second order differential equation using laplace transforms.
d12
+
5 dx 3x=71
dt
-
with initial conditions x² (0) = 2, α(0) = 1
b) Another periodic waveform is defined by
T
c)
g(t)=
T
with g(t+mT) = g(t) and m is an integer.
(i)
Sketch g(t) over two full cycles in the time domain, labelling the axes.
(ii)
Derive the formulae for the complex Fourier coefficients c₁ for g(t).
For a periodic waveform h(t), if its complex Fourier coefficients are
T
T
when n is odd
T
2n²²
T
4nn
when n is even and not zero
4nn
please derive the first five non-zero terms of the real Fourier series for h(t).
Q3)α) f(t) = (-+- 1 Isto
f(t+mT) = f(t).
L+- I Ost ST
integer
(i) sketch f(t) 2 full cycles time domain. (labelling the axis).
(ii) Derive the formula for the real fourier Coefficients
(i) Real Fourier series f(t), first 5 non-terms.
an
bn for f(t).
Chapter 1 Solutions
EBK PRINCIPLES OF ELECTRIC CIRCUITS
Ch. 1 - Express 4,750 in scientific notation.Ch. 1 - Express 0.00738 in scientific notation.Ch. 1 - Express 9.12 103 as a regular decimal number.Ch. 1 - Add 3.1 103 and 5.5 104.Ch. 1 - Subtract 3.5 106 from 2.2 105.Ch. 1 - Multiply 3.2 106 and 1.5 103.Ch. 1 - Divide 8 106 by 2 1010.Ch. 1 - Express 36,000,000,000 in engineering notation.Ch. 1 - Express 0.0000000000056 in engineering notation.Ch. 1 - Express using metric prefixes: 1. 56,000 2....
Ch. 1 - Convert 1 mA to microamperes.Ch. 1 - Convert 1,000 mV to millivolts.Ch. 1 - Convert 893 nA to microamperes.Ch. 1 - Convert 10,000 pF to microfarads.Ch. 1 - Convert 0.0022 mF to picofarads.Ch. 1 - Convert 2.2 k to megohms.Ch. 1 - Add 2,873 mA to 10,000 mA; express the sum in...Ch. 1 - How would you show the number 10,000 showing three...Ch. 1 - What is the difference between a measured quantity...Ch. 1 - Round 3.2850 to three significant digits using the...Ch. 1 - Derived units in the SI system use base units in...Ch. 1 - The base electrical unit in the SI system is the...Ch. 1 - The supplementary SI units are for angular...Ch. 1 - The number 3,300 is written as 3.3 103 in both...Ch. 1 - A negative number that is expressed in scientific...Ch. 1 - When you multiply two numbers written in...Ch. 1 - When you divide two numbers written in scientific...Ch. 1 - The metric prefix micro has an equivalent power of...Ch. 1 - To express 56 106 with a metric prefix, the...Ch. 1 - 0.047 F is equal to 47 nFCh. 1 - 0.010 F is equal to 10,000 pF.Ch. 1 - 10,000 kW is equal to 1 MW.Ch. 1 - The number of significant digits in the number...Ch. 1 - To express 10,000 with three significant figures,...Ch. 1 - When you apply the round-to-even rule to round off...Ch. 1 - If a series of measurements are precise, they must...Ch. 1 - The base SI electrical unit is the ampere.Ch. 1 - Which of the following is not an electrical...Ch. 1 - The unit of current is a. volt b. watt c. ampere...Ch. 1 - The number of base units in the SI system is a. 3...Ch. 1 - An mks measurement unit is one that a. can be...Ch. 1 - In the Sl system, the prefix k means to multiply...Ch. 1 - Prob. 6STCh. 1 - The quantity 4.7 103 is the same as a) 470 b)...Ch. 1 - The quantity 56 103 is the same as a. 0.056 b....Ch. 1 - Prob. 9STCh. 1 - Ten milliamperes can be expressed as a. 10 MA b....Ch. 1 - Five thousand volts can be expressed as a. 5,000 V...Ch. 1 - Twenty million ohms can be expressed as a. 20 m b....Ch. 1 - Prob. 13STCh. 1 - When reporting a measured value, it is okay to...Ch. 1 - Express each of the following numbers in...Ch. 1 - Express each fractional number in scientific...Ch. 1 - Express each of the following numbers in...Ch. 1 - Express each of the following numbers in...Ch. 1 - Express each of the following numbers in...Ch. 1 - Express each of the following as a regular decimal...Ch. 1 - Express each of the following as a regular decimal...Ch. 1 - Express each number in regular decimal form: a....Ch. 1 - Add the following numbers: a. (9.2 106) + (3.4 ...Ch. 1 - Prob. 10PCh. 1 - Perform the following multiplications: a. (5 ...Ch. 1 - Prob. 12PCh. 1 - Perform the indicated operations: a. (8 104 + 4 ...Ch. 1 - Starting with 1012, list the powers of ten in...Ch. 1 - Express each of the following numbers in...Ch. 1 - Express each number in engineering notation: a....Ch. 1 - Express each number in engineering notation: a....Ch. 1 - Express each number in engineering notation: a....Ch. 1 - Add the following numbers and express each result...Ch. 1 - Multiply the following numbers and express each...Ch. 1 - Divide the following numbers and express each...Ch. 1 - Express each number in Problem 15 in ohms using a...Ch. 1 - Express each number in Problem 17 in amperes using...Ch. 1 - Express each of the following as a quantity having...Ch. 1 - Express the following using metric prefixes: a. 3 ...Ch. 1 - Express the following using metric prefixes: a....Ch. 1 - Express each quantity by converting the metric...Ch. 1 - Express each quantity in engineering notation: a....Ch. 1 - Perform the indicated conversions: a. 5 mA to...Ch. 1 - Determine the following: a. The number of...Ch. 1 - Add the following quantities: a. 50 mA + 680 A b....Ch. 1 - Do the following operations: a. 10 k (2.2 k + 10...Ch. 1 - How many significant digits are in each of the...Ch. 1 - Round each of the following numbers to three...
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