Principles and Applications of Electrical Engineering
6th Edition
ISBN: 9780073529592
Author: Giorgio Rizzoni Professor of Mechanical Engineering, James A. Kearns Dr.
Publisher: McGraw-Hill Education
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Chapter 4, Problem 4.45HP
To determine
Thetime dependent and the phasor notation of the given waveform.
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"Detail the solution to the question with an
explanation of the integration."
A diploe with a total loss resistance of 122, is connected to generator whose internal impedance is
50+j25, the peak voltage of generator is 2 V and the impedance of the dipole excluding the loss
resistance is 73+j42.5. All antenna and generator are connected via 50-92 2/4 long lossless transmission
line.
(a) Draw the equivalent circuit
(b) Determine the power supplied by the generator
(c) Determine the power radiated by the antenna
For an X-band (8.2-12.4) GHz rectangular horn antenna with aperture dimensions of
5.5cm and 7.4cm. find its maximum effective aperture (in cm2) when its gain (over
isotropic) is
1- 14.8dB at 8.2 GHz
2-16.5dB at 10.3GHz
3- 18dB at 12.4GHz
Find the directivity in dB and the effective aperture for the following normalized radiation
intensity (take f=100 MHz):
U(0,0)=0.342csc0
0≤0≤20
20 ≤0≤60
60 ≤0≤18
Chapter 4 Solutions
Principles and Applications of Electrical Engineering
Ch. 4 - The current through a 0.8-H inductor is given by...Ch. 4 - For each case shown below, derive the expression...Ch. 4 - Derive the expression for the voltage across...Ch. 4 - In the circuit shown in Figure P4.4, assume R=1...Ch. 4 - Prob. 4.5HPCh. 4 - In the circuit shown in Figure P4.4, assume R=2...Ch. 4 - In the circuit shown in Figure P4.7, assume R=2...Ch. 4 - Prob. 4.8HPCh. 4 - Prob. 4.9HPCh. 4 - Prob. 4.10HP
Ch. 4 - The voltage waveform shown in Figure P4.10 is...Ch. 4 - The voltage across a 0.5-mH inductor, Plotted as a...Ch. 4 - Prob. 4.13HPCh. 4 - The current through a 16-H inductor is zero at t=0...Ch. 4 - The voltage across a generic element X has the...Ch. 4 - The plots shown in Figure P4.16 are the voltage...Ch. 4 - The plots shown in Figure P4.17 are the voltage...Ch. 4 - The plots shown in Figure P4.18 are the voltage...Ch. 4 - The plots shown in Figure P4.19 are the voltage...Ch. 4 - The voltage vL(t) across a 10-mH inductor is shown...Ch. 4 - The current through a 2-H inductor is p1otted in...Ch. 4 - Prob. 4.22HPCh. 4 - Prob. 4.23HPCh. 4 - Prob. 4.24HPCh. 4 - The voltage vC(t) across a capacitor is shown in...Ch. 4 - The voltage vL(t) across an inductor is shown in...Ch. 4 - Find the average and rms values of x(t) when:...Ch. 4 - The output voltage waveform of a controlled...Ch. 4 - Refer to Problem 4.28 and find the angle + that...Ch. 4 - Find the ratio between the average and rms value...Ch. 4 - The current through a 1- resistor is shown in...Ch. 4 - Derive the ratio between the average and rms value...Ch. 4 - Find the rms value of the current waveform shown...Ch. 4 - Determine the rms (or effective) value of...Ch. 4 - Assume steady-state conditions and find the energy...Ch. 4 - Assume steady-state conditions and find the energy...Ch. 4 - Find the phasor form of the following functions:...Ch. 4 - Convert the following complex numbers to...Ch. 4 - Convert the rectangular factors to polar form and...Ch. 4 - Complete the following exercises in complex...Ch. 4 - Convert the following expressions to rectangular...Ch. 4 - Find v(t)=v1(t)+v2(t) where...Ch. 4 - The current through and the voltage across a...Ch. 4 - Express the sinusoidal waveform shown in Figure...Ch. 4 - Prob. 4.45HPCh. 4 - Convert the following pairs of voltage and current...Ch. 4 - Determine the equivalent impedance seen by the...Ch. 4 - Determine the equivalent impedance seen by the...Ch. 4 - The generalized version of Ohm’s law for impedance...Ch. 4 - Prob. 4.50HPCh. 4 - Determine the voltage v2(t) across R2 in the...Ch. 4 - Determine the frequency so that the current Ii...Ch. 4 - Prob. 4.53HPCh. 4 - Use phasor techniques to solve for the current...Ch. 4 - Use phasor techniques to solve for the voltage...Ch. 4 - Prob. 4.56HPCh. 4 - Solve for VR shown in Figure P4.57. Assume:...Ch. 4 - With reference to Problem 4.55, find the value of ...Ch. 4 - Find the current iR(t) through the resistor shown...Ch. 4 - Find vout(t) shown in Figure P4.60.Ch. 4 - Find the impedance Z shown in Figure...Ch. 4 - Find the sinusoidal steady-state output vout(t)...Ch. 4 - Determine the voltage vL(t) across the inductor...Ch. 4 - Determine the current iR(t) through the resistor...Ch. 4 - Find the frequency that causes the equivalent...Ch. 4 - a. Find the equivalent impedance Zo seen by the...Ch. 4 - A common model for a practical capacitor has...Ch. 4 - Using phasor techniques, solve for vR2 shown in...Ch. 4 - Using phasor techniques to solve for iL in the...Ch. 4 - Determine the Thévenin equivalent network seen by...Ch. 4 - Determine the Norton equivalent network seen by...Ch. 4 - Use phasor techniques to solve for iL(t) in...Ch. 4 - Use mesh analysis to determine the currents i1(t)...Ch. 4 - Prob. 4.74HPCh. 4 - Prob. 4.75HPCh. 4 - Find the Thévenin equivalent network seen by the...Ch. 4 - Prob. 4.77HPCh. 4 - Prob. 4.78HPCh. 4 - Prob. 4.79HPCh. 4 - Prob. 4.80HPCh. 4 - Use mesh analysis to find the phasor mesh current...Ch. 4 - Write the node equations required to solve for all...Ch. 4 - Determine Vo in the circuit of Figure...Ch. 4 - Prob. 4.84HP
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- An antenna with a radiation impedance of 75+j10 ohm, with 10 ohm loss resistance, is connected to a generator with open-circuit voltage of 12 v and an internal impedance of 20 ohms via a 2/4-long transmission line with characteristic impedance of 75 ohms. (a) Draw the equivalent circuit (b) Determine the power supplied by the generator. (c) Determine the power radiated by the antenna. (d) Determine the reflection coefficient at the antenna terminals.arrow_forwardcircuit analysis using superposition what is value of iarrow_forwardTwo X-band 8.2-12.4 GHz rectangular horns, with aperture dimensions of 5.5 cm and 7.4 cm and each with a directivity of 16.3 dB (over isotropic at 10 GHz), are used as transmitting and receiving antennas. Assuming that the input power is 200 mW, the VSWR of each is 1.1. The conduction-dielectric efficiency is 100%, and the antennas are polarization-matched, find the maximum received power when the horns are separated in air by 5 m.arrow_forward
- The normalized radiation intensity of an antenna is rotationally symmetric in 4, and it is represented by 1 0°≤8 <30° 0.5 30° ≤ 0 < 60° U = 0.1 60° ≤ 0 < 90° 90° ≤ 0 ≤ 180° a) Determine the directivity (above isotropic) of an antenna in dB? b) Determine the directivity (above an infinitesimal dipole) of an antenna in dB?arrow_forwardA resonant lossless 2/2 dipole antenna, having a directivity of 2.156 dB at frequency of 9 MHz, has input impedance 73 £2 and is connected to a lossless 73 2 transmission line. A wave, having the same polarization as the antenna, is incident upon the antenna with a power density of 5 W/m². Find the received power available at the end of the transmission line.arrow_forward"Detail the solution to the question with an explanation of the integration." The normalized radiation intensity is given by: 1 0≤0≤30 U(0,) cos(0) 30 ≤0≤90 0.866 0 90 ≤0≤180 Determine the maximum directivity, HPBWarrow_forward
- Don't use ai to answer I will report you answer.arrow_forward"Detail the solution to the question with an explanation of the integration." A diploe with a total loss resistance of 12, is connected to generator whose internal impedance is 50+j25, the peak voltage of generator is 2 V and the impedance of the dipole excluding the loss resistance is 73+j42.5. All antenna and generator are connected via 50-92 2/4 long lossless transmission line. (a) Draw the equivalent circuit (b) Determine the power supplied by the generator (c) Determine the power radiated by the antennaarrow_forwardcircuit analysis find ia using mesh analysisarrow_forward
- cicuit analysisfind the power transfered to circuit by 4A currentarrow_forward"Detail the solution to the question with an explanation of the integration." The normalized far-zone power pattern of an antenna is given by for 0≤0≤ and 0≤≤/2,3/2≤≤2, U(0,0)=sine (cos0)2 elsewhere Find the directivity using the exact expression, HPBW in both azimuth and elevationarrow_forwardcircuit analysis using source transform find v?how much power does a 120v source deliver to the circuit?arrow_forward
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