Fundamentals of Electric Circuits
6th Edition
ISBN: 9780078028229
Author: Charles K Alexander, Matthew Sadiku
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 3, Problem 39P
Using Fig. 3.50 from Prob. 3.1, design a problem to help other students better understand mesh analysis.
Figure 3.50
For Prob. 3.1 and Prob. 3.39.
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I need a detailed solution to a
problem.
The far-zone electric field intensity (array factor) of an end-fire two-element array
antenna, placed along the z-axis and radiating into free-space, is given by
E=cos (cos - 1)
Find the directivity using
(a) Kraus' approximate formula
(b) the DIRECTIVITY computer program at the end of this chapter
Repeat Problem 2.19 when
E = cos
-jkr
0505π
$[
(cos + 1)
(a). Elmax = Cost (case-1)] | max"
= 1 at 8-0°.
0.707 Emax = 0.707.(1) = cos [(cose,-1)]
(cose-1) =
± 0,= {Cos' (2)
= does not exist
(105(0)=
90° = rad.
Bir
Do≈ 4T
ar=2() =
=
Bar
4-1-273 = 1.049 dB
T₂
a. Elmax = cos((cose +1)),
0.707 = cos (Close,+1))
= 1
at 6 = π
Imax
(Cose+1)=== G₁ = cos(-2) does not exist.
Girar=2()=π.
4T
\cos (0) + 90° + rad
Do≈ = +=1.273=1.049dB
IT 2
I need an expert mathematical solution.
The E-field pattern of an antenna. independent of , varies as follows:
0° ≤ 0≤ 45°
E = 0
45°
{1
90°
90° < 0 ≤ 180°
(a) What is the directivity of this antenna?
(b) What is the radiation resistance of the antenna at 200 m from it if the field is equal
to 10 V/m (rms) for Ø
=
0° at that distance and the terminal current is 5 A (rms)?
I need an expert mathematical solution.
The normalized far-zone field pattern of an antenna is given by
E =
{®
(sin
cos)/
0
Find the directivity using
0 ≤ 0 ≤ π and 0≤ 0≤ π/2.
3m2sds2,
elsewhere
Chapter 3 Solutions
Fundamentals of Electric Circuits
Ch. 3.2 - Figure 3.4 For Practice Prob. 3.1. Obtain the node...Ch. 3.2 - Figure 3.6 For Practice Prob. 3.2. Find the...Ch. 3.3 - Figure 3.11 For Practice Prob. 3.3. Find v and i...Ch. 3.3 - Figure 3.14 For Practice Prob. 3.4. Find v1, v2,...Ch. 3.4 - Practice Problem 3.5 Figure 3.19 For Practice...Ch. 3.4 - Practice Problem 3.6 Figure 3.21 For Practice...Ch. 3.5 - Practice Problem 3.7 Figure 3.25 For Practice...Ch. 3.6 - By inspection, obtain the node-voltage equations...Ch. 3.6 - By inspection, obtain the mesh-current equations...Ch. 3.8 - For the circuit in Fig. 3.33, use PSpice to find...
Ch. 3.8 - Use PSpice to determine currents i1, i2, and i3 in...Ch. 3.9 - For the transistor circuit in Fig. 3.42, let =...Ch. 3.9 - The transistor circuit in Fig. 3.45 has = 80 and...Ch. 3 - At node 1 in the circuit of Fig. 3.46, applying...Ch. 3 - Figure 3.46 For Review Questions 3.1 and 3.2 In...Ch. 3 - For the circuit in Fig. 3.47, v1 and v2 are...Ch. 3 - Figure 3.47 For Review Questions 3.3 and 3.4....Ch. 3 - The circuit i in the circuit of Fig. 3.48 is:...Ch. 3 - Figure 3.48 For Review Questions 3.5 and 3.6....Ch. 3 - In the circuit of Fig. 3.49, current i1 is: (a)4 A...Ch. 3 - Figure 3.49 For Review Questions 3.7 and 3.8....Ch. 3 - The PSpice part name for a current-controlled...Ch. 3 - Which of the following statements are not true of...Ch. 3 - Using Fig. 3.50, design a problem to help other...Ch. 3 - For the circuit in Fig. 3.51, obtain v1 and v2....Ch. 3 - Find the currents I1 through I4 and the voltage vo...Ch. 3 - Given the circuit in Fig. 3.53, calculate the...Ch. 3 - Obtain vo in the circuit of Fig. 3.54. Figure 3.54...Ch. 3 - Solve for V1 in the circuit of Fig. 3.55 using...Ch. 3 - Apply nodal analysis to solve for Vx in the...Ch. 3 - Using nodal analysis, find vo in the circuit of...Ch. 3 - Determine Ib in the circuit in Fig. 3.58 using...Ch. 3 - Prob. 10PCh. 3 - Find Vo and the power dissipated in all the...Ch. 3 - Using nodal analysis, determine Vo in the circuit...Ch. 3 - Calculate v1 and v2 in the circuit of Fig. 3.62...Ch. 3 - Using nodal analysis, find vo in the circuit of...Ch. 3 - Apply nodal analysis to find io and the power...Ch. 3 - Determine voltages v1 through v3 in the circuit of...Ch. 3 - Prob. 17PCh. 3 - Determine the node voltages in the circuit in Fig....Ch. 3 - Use nodal analysis to find v1, v2 and v3 in the...Ch. 3 - For the circuit in Fig. 3.69, find v1, v2, and v3...Ch. 3 - For the circuit in Fig. 3.70, find v1 and v2 using...Ch. 3 - Determine v1 and v2 in the circuit of Fig. 3.71....Ch. 3 - Use nodal analysis to find Vo in the circuit of...Ch. 3 - Use nodal analysis and MATLAB to find Vo in the...Ch. 3 - Use nodal analysis along with MATLAB to determine...Ch. 3 - Calculate the node voltages v1, v2, and v3 in the...Ch. 3 - Use nodal analysis to determine voltages v1, v2,...Ch. 3 - Use MATLAB to find the voltages at nodes a, b, c,...Ch. 3 - Use MATLAB to solve for the node voltages in the...Ch. 3 - Using nodal analysis, find vo and io in the...Ch. 3 - Find the node voltages for the circuit in Fig....Ch. 3 - Obtain the node voltages v1, v2, and v3 in the...Ch. 3 - Which of the circuits in Fig. 3.82 is planar? For...Ch. 3 - Determine which of the circuits in Fig. 3.83 is...Ch. 3 - Figure 3.54 For Prob. 3.5. Rework Prob. 3.5 using...Ch. 3 - Use mesh analysis to obtain ia, ib, and ic in the...Ch. 3 - Using nodal analysis, find vo in the circuit of...Ch. 3 - Apply mesh analysis to the circuit in Fig. 3.85...Ch. 3 - Using Fig. 3.50 from Prob. 3.1, design a problem...Ch. 3 - Prob. 40PCh. 3 - Apply mesh analysis to find i in Fig. 3.87. Figure...Ch. 3 - Using Fig. 3.88, design a problem to help students...Ch. 3 - Prob. 43PCh. 3 - Prob. 44PCh. 3 - Prob. 45PCh. 3 - Calculate the mesh currents i1 and i2 in Fig....Ch. 3 - Rework Prob. 3.19 using mesh analysis. Use nodal...Ch. 3 - Prob. 48PCh. 3 - Find vo and io in the circuit of Fig. 3.94. Figure...Ch. 3 - Prob. 50PCh. 3 - Apply mesh analysis to find vo in the circuit of...Ch. 3 - Use mesh analysis to find i1, i2 and i3 in the...Ch. 3 - Prob. 53PCh. 3 - Find the mesh currents i1, i2, and i3 in the...Ch. 3 - In the circuit of Fig. 3.100, solve for I1, I2,...Ch. 3 - Determine v1 and v2 in the circuit of Fig. 3.101....Ch. 3 - In the circuit of Fig. 3.102, find the values of...Ch. 3 - Find i1, i2, and i3 in the circuit of Fig. 3.103....Ch. 3 - Rework Prob. 3.30 using mesh analysis. Using nodal...Ch. 3 - Prob. 60PCh. 3 - Calculate the current gain iois in the circuit of...Ch. 3 - Find the mesh currents i1, i2, and i3 in the...Ch. 3 - Find vx and ix in the circuit shown in Fig. 3.107....Ch. 3 - Find vo and io in the circuit of Fig. 3.108.Ch. 3 - Use MATLAB to solve for the mesh currents in the...Ch. 3 - Write a set of mesh equations for the circuit in...Ch. 3 - Obtain the node-voltage equations for the circuit...Ch. 3 - Prob. 68PCh. 3 - For the circuit shown in Fig. 3.113, write the...Ch. 3 - Write the node-voltage equations by inspection and...Ch. 3 - Write the mesh-current equations for the circuit...Ch. 3 - Prob. 72PCh. 3 - Write the mesh-current equations for the circuit...Ch. 3 - By inspection, obtain the mesh-current equations...Ch. 3 - Use PSpice or MultiSim to solve Prob. 3.58....Ch. 3 - Use PSpice or MultiSim to solve Prob. 3.27....Ch. 3 - Solve for V1 and V2 in the circuit of Fig. 3.119...Ch. 3 - Solve Prob. 3.20 using PSpice or MultiSim. 3.20...Ch. 3 - Prob. 79PCh. 3 - Find the nodal voltages v1 through v4 in the...Ch. 3 - Use PSpice or MultiSim to solve the problem in...Ch. 3 - If the Schematics Netlist for a network is as...Ch. 3 - The following program is the Schematics Netlist of...Ch. 3 - Prob. 84PCh. 3 - An audio amplifier with a resistance of 9 ...Ch. 3 - Prob. 86PCh. 3 - For the circuit in Fig. 3.123, find the gain...Ch. 3 - Determine the gain vo/vs of the transistor...Ch. 3 - For the transistor circuit shown in Fig. 3.125,...Ch. 3 - Calculate vs for the transistor in Fig. 3.126...Ch. 3 - Prob. 91PCh. 3 - Prob. 92PCh. 3 - Rework Example 3.11 with hand calculation. In the...
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