Basic Engineering Circuit Analysis
11th Edition
ISBN: 9781118539293
Author: J. David Irwin, R. Mark Nelms
Publisher: WILEY
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Chapter 3, Problem 91P
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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.
Crystallographic positions
Crystallographic position
is denoted by three
numbers, which are
coefficients of the
position vector, e.g. ½½½
for the red atom.
Here the 'new' atom is at a/2 + b/2 + c/2
Silicon crystal has so-called "diamond type lattice".
Each Si atom has 4 nearest neighbors.
Diamond lattice starts with a FCC lattice and then
adds four additional INTERNAL atoms at locations
r = a/4+b/4+c/4 away from each of the atoms. In
other words, diamond lattice is formed by two FCC
lattices sifted by the vector r.
find the answers for this prelab
Chapter 3 Solutions
Basic Engineering Circuit Analysis
Ch. 3 - Use nodal analysis to find V1 in the circuit in...Ch. 3 - Find both Io and Vo in the network in Fig. P3.2...Ch. 3 - Find I1 in the network in Fig. P3.3.Ch. 3 - Find I1 in the circuit in Fig. P3.4.Ch. 3 - Use nodal analysis to find V1 in the circuit in...Ch. 3 - Find V1 and V2 in the circuit in Fig. P3.6 using...Ch. 3 - Use nodal analysis to find both V1 and Vo in the...Ch. 3 - Write the node equations for the circuit in Fig....Ch. 3 - Find Vo in the network in Fig. P3.9.Ch. 3 - Find Io in the circuit in Fig. P3.10 using nodal...
Ch. 3 - Use nodal analysis to find Io in the network in...Ch. 3 - Use nodal analysis to find Vo in the circuit in...Ch. 3 - Find Vo in the network in Fig. P3.13 using nodal...Ch. 3 - Use nodal analysis to find Vo in the circuit in...Ch. 3 - Find Io in the network in Fig. P3.15 using nodal...Ch. 3 - Use nodal analysis to find Vo in the circuit in...Ch. 3 - Use nodal analysis to find Vo in the network in...Ch. 3 - Use nodal analysis to find Vo in the circuit in...Ch. 3 - Find Vo in the circuit in Fig. P3.19 using...Ch. 3 - Find Vo in the network in Fig. P3.20 using nodal...Ch. 3 - Find Vo in the network in Fig. P3.21 using nodal...Ch. 3 - Find Io in the circuit in Fig. P3.22 using nodal...Ch. 3 - Use nodal analysis to determine the node voltages...Ch. 3 - Use nodal analysis to find Vo in the network in...Ch. 3 - Use nodal analysis to find Vo in the circuit in...Ch. 3 - Use nodal analysis to solve for the node voltages...Ch. 3 - Find Vo in the network in Fig. P3.27 using nodal...Ch. 3 - Find Io in the network in Fig. P3.28 using nodal...Ch. 3 - Use nodal analysis to find Io in the circuit in...Ch. 3 - Find Vo in the circuit in Fig. P3.30 using nodal...Ch. 3 - Find Io in the circuit in Fig. P3.31 using nodal...Ch. 3 - Use nodal analysis to find Io in the circuit in...Ch. 3 - Using analysis, find Vo in the network in Fig....Ch. 3 - Find Vo in the network in Fig. P3.34 using nodal...Ch. 3 - Find Vo in the circuit in Fig. P3.35 using nodal...Ch. 3 - Find Vo in the circuit in Fig. P3.36 using nodal...Ch. 3 - Use nodal analysis to find Vo in the circuit in...Ch. 3 - Find Vo in the circuit in Fig. P3.38 using nodal...Ch. 3 - Find Vo in the circuit in Fig. P3.39 using nodal...Ch. 3 - Use nodal analysis to find Vo in the circuit in...Ch. 3 - Find Vo in the network in Fig. P3.41.Ch. 3 - Find I0 in the network in Fig. P3.42 using nodal...Ch. 3 - Find Vo in the network in Fig. P3.43 using nodal...Ch. 3 - Find Io in the network in Fig. P3.44 using nodal...Ch. 3 - Find Vo in the network in Fig. P3.45 using nodal...Ch. 3 - Find Vo in the circuit in Fig. P3.46 using nodal...Ch. 3 - Find Io in the network in Fig. P3.47 using nodal...Ch. 3 - Use nodal analysis to find Vo in the circuit in...Ch. 3 - Find Vo in the network in Fig. P3.49 using nodal...Ch. 3 - Find Vo in the network in Fig. P3.50 using nodal...Ch. 3 - Find Vo in the circuit in Fig. P3.51.Ch. 3 - Use nodal analysis to find Vo in the circuit in...Ch. 3 - Determine Vo in the network in Fig. P3.53 using...Ch. 3 - Use nodal analysis to find Vo in the circuit in...Ch. 3 - Use nodal analysis to find Vo in the circuit in...Ch. 3 - Find Io in the circuit in Fig. B3.56 using nodal...Ch. 3 - Use nodal analysis to solve for IA in the network...Ch. 3 - Use nodal analysis to find Vo in the circuit in...Ch. 3 - Use nodal analysis to find V1,V2,V3, and V4 in the...Ch. 3 - Determine Vo in the network in Fig. P3.60 using...Ch. 3 - Use nodal analysis to find V1,V2,V3, and V4 in the...Ch. 3 - Use nodal analysis to determine the node voltages...Ch. 3 - Use nodal analysis to determine the node voltages...Ch. 3 - Use nodal analysis to determine the node voltages...Ch. 3 - Find Io in the network in Fig. P3.65 using mesh...Ch. 3 - Find Vo in the network in Fig. P3.66 using mesh...Ch. 3 - Find Vo in the network in Fig. P3.67 using mesh...Ch. 3 - Find Io in the circuit in Fig. P3.68 using mesh...Ch. 3 - Use mesh analysis to find Vo in the circuit in...Ch. 3 - Find Io in the circuit in Fig. P3.70 using mesh...Ch. 3 - Use mesh analysis to find Vo in the network in...Ch. 3 - Find Io in the circuit in Fig. P3.72.Ch. 3 - Find Vo in the circuit in Fig. P3.73 using mesh...Ch. 3 - Find Vo in Fig. P3.74 using mesh analysis.Ch. 3 - Use loop analysis to find Vo in the network in...Ch. 3 - Find Io in Fig. P3.76 using mesh analysis.Ch. 3 - Find Vo in the network in Fig. P3.77 using loop...Ch. 3 - Find Io in the circuit in Fig. P3.78 using loop...Ch. 3 - Find Vo in the circuit in Fig. P3.79 using mesh...Ch. 3 - Use mesh analysis to find Vo in the circuit in...Ch. 3 - Use mesh analysis to find Io in the network in...Ch. 3 - Use loop analysis to find Vo in the circuit in...Ch. 3 - Use loop analysis to calculate the power supplied...Ch. 3 - Use loop analysis to find Io and I1 in the network...Ch. 3 - Find Vo in the network in Fig. P3.85 using loop...Ch. 3 - Find Vo in the circuit in Fig. P3.86 using...Ch. 3 - Find Io in network in Fig. P3.87 using loop...Ch. 3 - Find Io in the network in Fig. P3.88 using loop...Ch. 3 - Use loop analysis to find Vo in the circuit in...Ch. 3 - Using loop analysis, find Vo in the network in...Ch. 3 - Find Io in the circuit in Fig. P3.91 using mesh...Ch. 3 - Use analysis to find Io in the network in Fig....Ch. 3 - Using loop analysis, find Io in the circuit in...Ch. 3 - Find the mesh currents in the network in Fig....Ch. 3 - Using loop analysis, find Vo in the circuit in...Ch. 3 - Using loop analysis, find Vo in the network in...Ch. 3 - Find Io in the circuit in Fig. P3.97 using loop...Ch. 3 - Find Io in the network in Fig. P3.98 using loop...Ch. 3 - Find Vo in the circuit in Fig. P3.99 using loop...Ch. 3 - Use nodal analysis to find Vo in Fig. P3.100.Ch. 3 - Find Vo in the circuit in Fig. P3.101 using nodal...Ch. 3 - Use loop analysis to find Vo in the network in...Ch. 3 - Use nodal analysis to find Vo in the network in...Ch. 3 - Find Vo in the network in Fig. P3.104 using nodal...Ch. 3 - Find the power supplied by the 2-A current source...Ch. 3 - Find Io in the network in Fig. P3.106 using nodal...Ch. 3 - Find Vo in the circuit in Fig. P3.107 using loop...Ch. 3 - Use mesh analysis to find Vo in the circuit in...Ch. 3 - Using mesh analysis, find Vo in the circuit in...Ch. 3 - Find Vo in the circuit in Fig. P3.110 using nodal...Ch. 3 - Find Vx in the circuit in Fig. P3.111.Ch. 3 - Find Io in the circuit in Fig. P3.112.Ch. 3 - Write mesh equations for the circuit in Fig....Ch. 3 - Find Ix in the circuit in Fig. P3.114 using loop...Ch. 3 - Solve for the mesh currents defined in the circuit...Ch. 3 - Solve for the assigned mesh currents in the...Ch. 3 - Using the assigned mesh currents shown in Fig....Ch. 3 - Find Vo in the network in Fig. B3.118.Ch. 3 - Using loop analysis, find Vo in the circuit in...Ch. 3 - Using loop analysis, find Vo in the circuit in...Ch. 3 - Using loop analysis, find Vo in the network in...Ch. 3 - Using loop analysis, find Vo in the circuit in...Ch. 3 - Using loop analysis, find Io in the network in...Ch. 3 - Use analysis to find Io in the circuit in Fig....Ch. 3 - Find Vo in the circuit in Fig. P3.125 using loop...Ch. 3 - Using loop analysis, find Io in the circuit in...Ch. 3 - Use mesh analysis to determine the power delivered...Ch. 3 - Use mesh analysis to find the power delivered by...Ch. 3 - Use nodal analysis to find Vo in the circuit in...Ch. 3 - Find Io in the network in Fig. P3.130 using nodal...Ch. 3 - Find Vo in the circuit in Fig. 3PFE-l. a. 3.33 Vc....Ch. 3 - Determine the power dissipated in the 6-ohm...Ch. 3 - Find the current Ix in the 4-ohm resistor in the...Ch. 3 - Determine the voltage Vo in the circuit in Fig....Ch. 3 - What is the voltage V1 in the circuit in Fig....
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