Basic Engineering Circuit Analysis
11th Edition
ISBN: 9781118539293
Author: J. David Irwin, R. Mark Nelms
Publisher: WILEY
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Chapter 2, Problem 113P
If
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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 2 Solutions
Basic Engineering Circuit Analysis
Ch. 2 - Determine the current and power dissipated in the...Ch. 2 - Determine the voltage across the resistor in Fig....Ch. 2 - In the network in Fig. P2.3, the power absorbed by...Ch. 2 - In the network in Fig. P2.4, the power absorbed by...Ch. 2 - A model for a standard two D-cell flashlight is...Ch. 2 - An automobile uses two halogen headlights...Ch. 2 - Many years ago a string of Christmas tree lights...Ch. 2 - Find I1,I2, and I3 in the network in Fig.P2.8.Ch. 2 - Find I1 in the network in Fig.P2.9.Ch. 2 - Find I1 in the network in Fig.P2.10.
Ch. 2 - Find I1 in the circuit in Fig.P2.11.Ch. 2 - Find I0 and I1 in the circuit in Fig.P2.12.Ch. 2 - Find Ix,Iy, and Iz in the network in Fig.P2.13.Ch. 2 - Find Ix in the circuit in Fig.P2.14.Ch. 2 - Find Ix in the network in Fig. P2.15.Ch. 2 - Find I1 in the network in Fig. P2.16.Ch. 2 - Find Vbd in the circuit in Fig. P2.17.Ch. 2 - Find I1 in the circuit in Fig. P2.18.Ch. 2 - Find I1,I2, and I3 in the network in Fig. P2.19.Ch. 2 - Find Vfb and Vec in the circuit in Fig. P2.20.Ch. 2 - Given the circuit diagram in Fig. P2.21, find the...Ch. 2 - Find VBE and VDA in the circuit in Fig. P2.22.Ch. 2 - Find Vx and Vy in the circuit in Fig. P2.23.Ch. 2 - Find Vac in the circuit in Fig. P2.24.Ch. 2 - Find Vad and Vce in the circuit in Fig. P2.25.Ch. 2 - Find Vo in the circuit in Fig. P2.26.Ch. 2 - Find V1,V2, and V3 in the network in Fig. P2.27.Ch. 2 - Find Vo in the network in Fig. P2.28.Ch. 2 - Find V1,V2, and V3 in the network in Fig. P2.29.Ch. 2 - If Vo=3V in the circuit in Fig. P2.30, find Vs.Ch. 2 - Find the power supplied by each source in the...Ch. 2 - The 10-V source absorbs 2.5-mW of power. Calculate...Ch. 2 - Find Vbd in the network in Fig. P2.33.Ch. 2 - Find V1 in the network in Fig. P2.34.Ch. 2 - Find the power absorbed by the dependent source in...Ch. 2 - In the network in Fig. P2.36, find Vx,VAE, and VBD...Ch. 2 - In the network in Fig. P2.37, find VS if VEB=6V.Ch. 2 - Find VS in the circuit in Fig. P2.38, if VBE=18V.Ch. 2 - Find VA in the network in Fig. P2.39.Ch. 2 - If the 12-V source in the network in Fig. P2.40...Ch. 2 - If VX=12V in the network in Fig. P2.41, find VS...Ch. 2 - Calculate the power absorbed by the dependent...Ch. 2 - Find VA and VO in the circuit in Fig. P2.43.Ch. 2 - Find VO and the power absorbed by the 2k resistor...Ch. 2 - Find the power absorbed or supplied by the 12-V...Ch. 2 - Find Vo in the circuit in Fig. P2.46.Ch. 2 - Find I0 in the network in Fig. P2.47.Ch. 2 - Find Io in the network in Fig. P2.48.Ch. 2 - Find the power supplied by each source in the...Ch. 2 - Find the current IA in the circuit in Fig. P2.50.Ch. 2 - Find IS in the network in Fig. P2.51.Ch. 2 - Find Io in the circuit in Fig. P2.52.Ch. 2 - Find Io in the network in Fig. P2.53.Ch. 2 - Find Vo in the circuit in Fig. P2.54.Ch. 2 - Find Vo in the network in Fig. P2.55.Ch. 2 - Find Io in the network in Fig. P2.56.Ch. 2 - Find Io in the network in Fig. P2.57.Ch. 2 - Find IL in the circuit in Fig. P2.58.Ch. 2 - Find RAB in the network in Fig. P2.59.Ch. 2 - Find RAB in the circuit in Fig. P2.60.Ch. 2 - Find RAB in the circuit in Fig. P2.61.Ch. 2 - Find RAB in the network in Fig. P2.62.Ch. 2 - Find RAB in the circuit in Fig. P2.63.Ch. 2 - Find RAB in the circuit in Fig. P2.64.Ch. 2 - Find RAB in the circuit in Fig. P2.65.Ch. 2 - Find the equivalent resistance Req in the network...Ch. 2 - Find RAB in the network in Fig. P2.67.Ch. 2 - Given the resistor configuration shown in Fig....Ch. 2 - Determine the total resistance, RT, in the circuit...Ch. 2 - Determine the total resistance, RT, in the circuit...Ch. 2 - Determine the total resistance, RT, in the circuit...Ch. 2 - Find the power supplied by the source in the...Ch. 2 - Find I1 and Vo in the circuit in Fig. P2.73.Ch. 2 - Find I1 and Vo in the circuit in Fig. P2.74.Ch. 2 - Find Vab and Vdc in the circuit in Fig. P2.75.Ch. 2 - Find Io in the network in Fig. P2.76.Ch. 2 - Find Io in the circuit in Fig. P2.77.Ch. 2 - Find V1 in the network in Fig. P2.78.Ch. 2 - Find Vab in the circuit in Fig. P2.79.Ch. 2 - Find Vab in the network in Fig. P2.80.Ch. 2 - Find I1,I2, and V1 in the circuit in Fig. P2.81.Ch. 2 - Determine Vo in the network in Fig. P2.82.Ch. 2 - Calculate VAB in Fig. P2.83.Ch. 2 - Find Io in the network in Fig. P2.84 if all...Ch. 2 - Find Io in the circuit in Fig. P2.85.Ch. 2 - Determine the power supplied by the 36-V source in...Ch. 2 - Find the power supplied by the current source in...Ch. 2 - In the network in Fig. P2.88, V1=12V. Find VS.Ch. 2 - In the circuit in Fig. P2.89, Vo=2V. Find IS.Ch. 2 - In the network in Fig. P2.90, V1=14V. Find VS.Ch. 2 - If VR=15V, find VX in Fig. P2.91.Ch. 2 - Find the value of IA in the network in Fig. P2.92.Ch. 2 - If V1=5V in the circuit in Fig. P2.93, find IS.Ch. 2 - Given that Vo=4V in the network in Fig. P2.94,...Ch. 2 - Find the value of VS in the network in Fig. P2.95...Ch. 2 - In the network in Fig. P2.96, VO=6V. Find IS.Ch. 2 - Find the value of V1 in the network in Fig. P2.97...Ch. 2 - Find the value of IA in the circuit in Fig. P2.98.Ch. 2 - If the power supplied by the 2-A current source is...Ch. 2 - The 40-V source in the circuit in Fig. P2.100 is...Ch. 2 - Find the value of the current source IA in the...Ch. 2 - Given Io=2mA in the network in Fig. P2.102, find...Ch. 2 - Find the value of Vx in the network in Fig....Ch. 2 - Given Ia=2mA in the circuit in Fig. P2.104, find...Ch. 2 - Given Va in the network in Fig. 2.105, find IA.Ch. 2 - Find the value of Vx in the circuit in Fig. P2.106...Ch. 2 - Find the power absorbed by the network in Fig....Ch. 2 - Find the value of g in the network in Fig. P2.108...Ch. 2 - Find the power supplied by the 24-V source in the...Ch. 2 - Find Io in circuit in Fig. P2.110.Ch. 2 - Find Io in circuit in Fig. P2.111.Ch. 2 - Determine the value of Vo in the network in Fig....Ch. 2 - If Vo in the circuit in Fig. P2.113 is 24 V, find...Ch. 2 - Find the value of VS in the network in Fig....Ch. 2 - Find the power supplied by the 6-mA source in the...Ch. 2 - Find Vo in the circuit in Fig. P2.116.Ch. 2 - Find Vo in the network in Fig. P2.117.Ch. 2 - Find I1 in the network in Fig. P2.118.Ch. 2 - A single-stage transistor amplifier is modeled as...Ch. 2 - Find Io in the circuit in Fig. P2.120.Ch. 2 - Find Vo in the circuit in Fig. P2.121.Ch. 2 - A typical transistor amplifier is shown in Fig....Ch. 2 - Find VX in the network in Fig. P2.123.Ch. 2 - Find Vo in the network in Fig. P2.124.Ch. 2 - Find I1,I2, and I3 in the circuit in Fig. P2.125.Ch. 2 - Find Io in the network in Fig. P2.126.Ch. 2 - Find the power absorbed by the 12-k resistor on...Ch. 2 - Find the power absorbed by the 12-k resistor in...Ch. 2 - Find the value of k in the network in Fig. P2.129...Ch. 2 - If the power absorbed by the 10-V source in Fig....Ch. 2 - If the power supplied by the 2-A current source in...Ch. 2 - What is the power generated by the source in the...Ch. 2 - Find v ah in the circuit in Fig. 2PFE-2. a. 5V c....Ch. 2 - If Req=10.8 in the circuit in Fig. 2PFE-3, what is...Ch. 2 - Find the equivalent resistance of the circuit in...Ch. 2 - The 100-V source is absorbing 50W of power in the...Ch. 2 - Find the power supplied by the 40-V source in the...Ch. 2 - What is the current I0 in the circuit in Fig....Ch. 2 - Find the voltage Vo in the network in Fig. 2PFE-8....Ch. 2 - What is the voltage Vo in the circuit in Fig....Ch. 2 - Find the current Ix in Fig. 2PFE-10. a. 1/2Ac....
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