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Electrical Engineering: Principles & Applications (7th Edition)
7th Edition
ISBN: 9780134484143
Author: Allan R. Hambley
Publisher: PEARSON
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Textbook Question
Chapter 2, Problem 2.47P
The circuit of Figure P2.47 is similar to networks used en digital-to-analog converters. For this problem, assume that the circuit continues indefinitely to the night. Find the values of i1, i2, i3, and i4. How is in+2 related to in? What is the value of i18?(Hint: See Problem P2.12)
Figure P2.47
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Finding crystallographic direction
Z
pt. 2
head
pt. 1:
៩
Example 2:
pt. 1 x₁ = a, y₁ = b/2, z₁ = 0
pt. 2 x2=-a, y₂ = b,
Z₂ = c
-a-a b-b/2
c-0
a
b c
tail
=> -2, 1/2, 1
Multiplying by 2 to eliminate the fraction
-4,1,2 => [412] where the overbar represents a
negative index
families of directions
Crystallographic planes
Crystallographic planes are denoted by Miller indices.
5b
Algorithm for Miller indices
1. Read off intercepts of plane with axes in
terms of a, b, c
2. Take reciprocals of intercepts
3. Reduce to smallest integer values
4. Enclose in parentheses, no commas.
353
1/3 1/5 1/3
535
(535)
In the cubic system, a plane and a
direction with the same indices are
orthogonal. E.g. [100] direction is
perpendicular to (100) plane.
Correspondingly, [123] direction is
perpendicular to (123) plane.
[2,3,3]
Plane intercepts axes at 3a, 2b, 2c
2
11 1
Reciprocal numbers are:
3'2'2
b.
Indices of the plane (Miller): (2,3,3)
2
a
Indices of the direction: [2,3,3]
X
(200)
(100)
(110)
(111)
(100)
Indices of crystallographic plane can be found from cross product of indices of
any two non-parallel directions in this plane.
Chapter 2 Solutions
Electrical Engineering: Principles & Applications (7th Edition)
Ch. 2 - Reduce each of the networks shown in Figure P2.1...Ch. 2 - A 4- resistance is in series with the parallel...Ch. 2 - Find the equivalent resistance looking into...Ch. 2 - Suppose that we need a resistance of 1.5 k and...Ch. 2 - Find the equivalent resistance between terminals a...Ch. 2 - Find the equivalent resistance between terminals a...Ch. 2 - What resistance in parallel with 120 results in...Ch. 2 - Determine the resistance between terminals a and b...Ch. 2 - Two resistances having values of R and 2R are in...Ch. 2 - A network connected between terminals a and b...
Ch. 2 - Two resistances R1 and R2 are connected in...Ch. 2 - Find the equivalent resistance for the infinite...Ch. 2 - If we connect n 1000- resistances in parallel,...Ch. 2 - The heating element of an electric cook top has...Ch. 2 - We are designing an electric space heater to...Ch. 2 - Sometimes, we can use symmetry considerations to...Ch. 2 - The equivalent resistance between terminals a and...Ch. 2 - Three conductances G1 G2, and G3 are in series....Ch. 2 - Most sources of electrical power behave as...Ch. 2 - The resistance for the network shown in Figure...Ch. 2 - Often, we encounter delta-connected loads such as...Ch. 2 - What are the steps in solving a circuit by network...Ch. 2 - Find the values of i1 and i2 in Figure P2.23....Ch. 2 - Find the voltages v1 and v2 for the circuit shown...Ch. 2 - Find the values of v and i in Figure P2.25. Figure...Ch. 2 - Consider the circuit shown in Figure P2.24....Ch. 2 - Find the voltage v and the currents i1 and 12 for...Ch. 2 - Find the values of vs, v1, and i2 in Figure P2.28....Ch. 2 - Find the values of i1 and i2 in Figure P2.29....Ch. 2 - Consider the cirrcuit shown in Figure P2.30 Find...Ch. 2 - Solve for the values of i1, i2, and the powers for...Ch. 2 - The 12-V source in Figure P2.32 is delivering 36...Ch. 2 - Refer to the circuit shown in Figure P2.33. With...Ch. 2 - Find the values of i1 and i2 in Figure P2.34. Find...Ch. 2 - Find the values of i1 and i2 in Figure P2.35...Ch. 2 - Use the voltage-division principle to calculate...Ch. 2 - Use the current-division principle to calculate i1...Ch. 2 - Use the voltage-division principle to calculate...Ch. 2 - Use the current-division principle to calculate...Ch. 2 - Suppose we need to design a voltage-divider...Ch. 2 - A source supplies 120 V to the series combination...Ch. 2 - We have a 60- resistance, a 20- resistance, and...Ch. 2 - A worker is standing on a wet concrete floor,...Ch. 2 - Suppose we have a load that absorbs power and...Ch. 2 - We have a load resistance of 50 that we wish to...Ch. 2 - We have a load resistance of 1 k that we wish to...Ch. 2 - The circuit of Figure P2.47 is similar to networks...Ch. 2 - Write equations and solve for the node voltages...Ch. 2 - Solve for the node voltages shown in Figure P2.49....Ch. 2 - Solve for the node voltages shown in Figure P2.50....Ch. 2 - Given R1=4 , R2=5 , R2=8 , R4=10 , R5=2 , and...Ch. 2 - Determine the value of i1 in Figure P2.52 using...Ch. 2 - Given R1=15 , R5=5 , R3=20 , R4=10 , R5=8 , R6=4 ,...Ch. 2 - In solving a network, what rule must you observe...Ch. 2 - Use the symbolic features of MATLAB to find an...Ch. 2 - Solve for the values of the node voltages shown in...Ch. 2 - Solve for the node voltages shown in Figure P2.57....Ch. 2 - Solve for the power delivered to the 8- ...Ch. 2 - Solve for the node voltages shown in Figure P2.59....Ch. 2 - Find the equivalent resistance looking into...Ch. 2 - Find the equivalent resistance looking into...Ch. 2 - Figure P2.62 shows an unusual voltage-divider...Ch. 2 - Solve for the node voltages in the circuit of...Ch. 2 - We have a cube with 1- resistances along each...Ch. 2 - Solve for the power delivered to the 15- resistor...Ch. 2 - Determine the value of v2 and the power delivered...Ch. 2 - Use mesh-current analysis to find the value of i1...Ch. 2 - Solve for the power delivered by the voltage...Ch. 2 - Use mesh-current analysis to find the value of v...Ch. 2 - Use mesh-current analysis to find the value of i3...Ch. 2 - Use mesh-current analysis to find the values of i1...Ch. 2 - Find the power delivered by the source and the...Ch. 2 - Use mesh-current analysis to find the values of i1...Ch. 2 - Use mesh-current analysis to find the values of i1...Ch. 2 - The circuit shown in Figure P2.75 is the dc...Ch. 2 - Use MATLAB and mesh-current analysis to determine...Ch. 2 - Connect a 1-V voltage source across terminals a...Ch. 2 - Connect a 1-V voltage source across the terminals...Ch. 2 - Use MATLAB to solve for the mesh currents in...Ch. 2 - Find the Thévenin and Norton equivalent circuits...Ch. 2 - We can model a certain battery as a voltage source...Ch. 2 - Find the Thévenin and Norton equivalent circuits...Ch. 2 - Find the Thévenin and Norton equivalent circuits...Ch. 2 - Find the Thévenin arid Norton equivalent circuits...Ch. 2 - An automotive battery has an open-circuit voltage...Ch. 2 - A certain two-terminal circuit has an open-circuit...Ch. 2 - If we measure the voltage at the terminals of a...Ch. 2 - Find the Thévenin and Norton equivalent circuits...Ch. 2 - Find the maximum power that can be delivered to a...Ch. 2 - Find the maximum power that can be delivered to a...Ch. 2 - Figure P2.91 shows a resistive load RL connected...Ch. 2 - Starling from the Norton equivalent circuit with a...Ch. 2 - A battery can be modeled by a voltage source Vt in...Ch. 2 - Use superposition to find the current i in Figure...Ch. 2 - Solve for is in Figure P2.49 by using...Ch. 2 - Solve the circuit shown in Figure P2.48 by using...Ch. 2 - Solve for i1 in Figure P2.34 by using...Ch. 2 - Another method of solving the circuit of Figure...Ch. 2 - Use the method of Problem P2.98 for the circuit of...Ch. 2 - Solve for the actual value of i6 for the circuit...Ch. 2 - Device A shown in Figure P2.101 has v=3i2 for i 0...Ch. 2 - The Wheatstone bridge shown in Figure 2.66 is...Ch. 2 - The Wheatstone bridge shown in Figure 2.66has...Ch. 2 - In theory, any values can be used for R1 and R3 in...Ch. 2 - Derive expressions for the Thévenin voltage and...Ch. 2 - Derive Equation 2.93 for the bridge circuit of...Ch. 2 - Prob. 2.107PCh. 2 - Explain what would happen if, in wiring the bridge...Ch. 2 - Match each entry in Table T2.1(a) with the best...Ch. 2 - Consider the circuit of Figure T2.2 with vs=96V ,...Ch. 2 - Write MATLAB code to solve for the node voltages...Ch. 2 - Write a set of equations that can be used to solve...Ch. 2 - Determine the Thévenin and Norton equivalent...Ch. 2 - According to the superposition principle, what...Ch. 2 - Determine the equivalent resistance between...Ch. 2 - Transform the 2-A current source and 6- ...
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