Electrical Engineering: Principles & Applications, Student Value Edition Plus Mastering Engineering with Pearson eText -- Access Card Package (7th Edition)
7th Edition
ISBN: 9780134702193
Author: Allan R. Hambley
Publisher: PEARSON
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Textbook Question
Chapter 1, Problem 1.8P
The ends of a length of wire are labeled a and b. If the current in the wire is
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dny
dn-1y
dn-1u
dn-24
+a1
+
+ Any
=
bi
+b₂-
+ +bnu.
dtn
dtn-1
dtn-1
dtn-2
a) Let be a root of the characteristic equation
1
sn+a1sn-
+
+an
= : 0.
Show that if u(t) = 0, the differential equation has the solution y(t) = e\t.
b) Let к be a zero of the polynomial
b(s) = b₁s-1+b2sn−2+
Show that if the input is u(t)
equation that is identically zero.
=
..
+bn.
ekt, then there is a solution to the differential
dny
dn-1y
dn-1u
dn-24
+a1
+
+ Any
=
bi
+b₂-
+ +bnu.
dtn
dtn-1
dtn-1
dtn-2
a) Let be a root of the characteristic equation
1
sn+a1sn-
+
+an
= : 0.
Show that if u(t) = 0, the differential equation has the solution y(t) = e\t.
b) Let к be a zero of the polynomial
b(s) = b₁s-1+b2sn−2+
Show that if the input is u(t)
equation that is identically zero.
=
..
+bn.
ekt, then there is a solution to the differential
For step a), use equations (2) to find the equation for the input impedance
equations (2) are V1 = jwL1I1 + jwMI2 and V2 = jwMI1 + jwL2I2
equation for the input impedance: Z1 = V1/I1 = jwL1 + (wM)2/(jwL2 + ZL)
Chapter 1 Solutions
Electrical Engineering: Principles & Applications, Student Value Edition Plus Mastering Engineering with Pearson eText -- Access Card Package (7th Edition)
Ch. 1 - Broadly speaking, what are the two main objectives...Ch. 1 - Prob. 1.2PCh. 1 - List eight subdivisions of electrical engineering.Ch. 1 - Prob. 1.4PCh. 1 - Prob. 1.5PCh. 1 - In the fluid-flow analogy for electrical circuits,...Ch. 1 - The charge of an electron is 1.601019C . A current...Ch. 1 - The ends of a length of wire are labeled a and b....Ch. 1 - The circuit element shown in Figure P1.9 has v=12V...Ch. 1 - Prob. 1.10P
Ch. 1 - The net charge through a cross section of a...Ch. 1 - The current through a particular circuit element...Ch. 1 - The current through a given circuit element is...Ch. 1 - The net charge through a cross section of a...Ch. 1 - A copper wire has a diameter of 2.05 mm and...Ch. 1 - A certain lead acid storage battery has a mass of...Ch. 1 - A circuit element having terminals a and b has...Ch. 1 - An electron moves through a voltage of 9 V from...Ch. 1 - A typical “deep-cycle” battery (used for electric...Ch. 1 - Define the term passive reference configuration....Ch. 1 - Compute the power for each element shown in Figure...Ch. 1 - The terminals of an electrical device are labeled...Ch. 1 - The terminals of a certain battery are labeled a...Ch. 1 - The element shown in Figure P1.24 I has v(t)=10V...Ch. 1 - The current and voltage of an electrical device...Ch. 1 - Suppose that the cost of electrical energy is...Ch. 1 - Figure P1.27 shows an ammeter (AM) and voltmeter...Ch. 1 - Repeat Problem P1.27 with the meters connected as...Ch. 1 - A certain type of D-cell battery that costs $0.50...Ch. 1 - The electronics aboard a certain sailboat consume...Ch. 1 - What s a node in an electrical circuit? Identify...Ch. 1 - State Kirchhoff’s current law.Ch. 1 - Two electrical elements are connected in series....Ch. 1 - Suppose that in the fluid-flow analogy for an...Ch. 1 - Identify elements that are in series in the...Ch. 1 - Consider the circuit shown in Figure P1.36. Which...Ch. 1 - Use KCL to find the values of ia, ic , and id for...Ch. 1 - Find the values of the other currents in Figure...Ch. 1 - Prob. 1.39PCh. 1 - State Kirchhoff’s voltage law.Ch. 1 - Consider the circuit shown in Figure P1.36. Which...Ch. 1 - Use KVL to solve for the voltages va , vb, and vc...Ch. 1 - Solve for the other voltages shown in Figure P1.43...Ch. 1 - Use KVL and KCL to solve for the labeled currents...Ch. 1 - Identify elements that are in parallel in Figure...Ch. 1 - Points a, b, c, and d appear in a certain circuit....Ch. 1 - In your own words, define an ideal conductor; an...Ch. 1 - Name four types of dependent sources and give the...Ch. 1 - State Ohm’s law, including references.Ch. 1 - Draw a circuit that contains a 5 resistance, a...Ch. 1 - Repeat Problem P1.50, placing all three elements...Ch. 1 - The resistance of a certain copper wire is 0.5. ....Ch. 1 - Draw a circuit that contains a 5 resistor, a 10-V...Ch. 1 - Draw a circuit that contains a 5 resistor, a 10-V...Ch. 1 - A power of 100 W is delivered to a certain...Ch. 1 - The voltage across a 10 resistor is given by...Ch. 1 - The voltage across a 10 resistor is given by...Ch. 1 - A certain wire has a resistance of 0.5 . Find the...Ch. 1 - Plot i versus v to scale for each of the parts of...Ch. 1 - Which of the following are self-contradictory...Ch. 1 - Consider the circuit shown in Figure P1.61. Find...Ch. 1 - Consider the circuit shown in Figure P1.62. Find...Ch. 1 - Consider the circuit shown in Figure P1.63. Find...Ch. 1 - Consider the circuit shown in Figure P1.64. Use...Ch. 1 - Determine the value of Ix in the circuit shown in...Ch. 1 - Consider the circuit shown in Figure P1.66. Figure...Ch. 1 - Prob. 1.67PCh. 1 - Consider the circuit shown in Figure P1.68. Figure...Ch. 1 - Solve for the currents shown in Figure P1.69....Ch. 1 - The circuit shown in Figure P1.70 contains a...Ch. 1 - Determine the value of vx and iy in the circuit...Ch. 1 - A 10-V independent voltage source is in series...Ch. 1 - A 10-V independent voltage source is in parallel...Ch. 1 - Consider the circuit shown in Figure P1.74. Figure...Ch. 1 - The circuit shown in Figure P1.75 contains a...Ch. 1 - For the circuit shown in Figure P1.76, solve for...Ch. 1 - For the circuit shown in Figure P1.77, solve for...Ch. 1 - Match each entry in Table T1.1(a) with the best...Ch. 1 - Prob. 1.2PTCh. 1 - The circuit of Figure T1.3 has I1=3A , I2=1A ,...Ch. 1 - The circuit shown in Figure T1.4 has Vs=12V ,...Ch. 1 - We are given Vs=15V , R=10 , and =0.3S for the...Ch. 1 - We are given i4=2A for the circuit of Figure T1.6....
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