EBK FUNDAMENTALS OF APPLIED ELECTROMAGN
7th Edition
ISBN: 9780100663657
Author: ULABY
Publisher: YUZU
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Chapter 1.7, Problem 12CQ
To determine
The reason and condition for why the phasor technique is useful, and the process of this technique.
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A wattmeter is connected with the positive lead on phase “a” of a three-phase system. The negative lead is connected to phase “b”. A separate wattmeter has the positive lead connected to phase “c”. The negative lead of this wattmeter is connected also to phase “b”. If the input voltage is 208 volts line-to-line, the phase sequence is “abc” and the load is 1200 ohm resistors connected in “Y”, what is the expected reading of each of the wattmeters? (Hint: draw a phasor diagram)
a
b
1 ΚΩΣ
56002
82092
470Ω
Rab, Rbc, Rde
d
e O
470Ω Σ 5 Ω
25$
5602 3 4 Ω
MY code is experiencing a problem as I want to show both the magnitude ratio on low pass, high pass, and bandbass based on passive filters:
Code:
% Define frequency range for the plot
f = logspace(1, 5, 500); % Frequency range from 10 Hz to 100 kHz
w = 2*pi*f; % Angular frequency
% Parameters for the filters (you can modify these)
R = 1e3; % Resistance in ohms (1 kOhm)
C = 1e-6; % Capacitance in farads (1 uF)
L = 10e-3; % Inductance in henries (10 mH)
% Transfer function for Low-pass filter: H_low = 1 / (1 + jωRC)
H_low = 1 ./ (1 + 1i*w*R*C);
% Transfer function for High-pass filter: H_high = jωRC / (1 + jωRC)
H_high = 1i*w*R*C ./ (1 + 1i*w*R*C);
% Transfer function for Band-pass filter: H_band = jωRC / (1 + jωL/R + jωRC)
H_band = 1i*w*R*C ./ (1 + 1i*w*L/R + 1i*w*R*C);
% Plot magnitude responses
figure;
subplot(3,1,1);
semilogx(f, 20*log10(abs(H_low))); % Low-pass filter
title('Magnitude Response of Low-pass Filter');
xlabel('Frequency (Hz)');
ylabel('Magnitude (dB)');
grid…
Chapter 1 Solutions
EBK FUNDAMENTALS OF APPLIED ELECTROMAGN
Ch. 1.3 - Prob. 1CQCh. 1.3 - What is Coulombs law? State its properties.Ch. 1.3 - What are the two important properties of electric...Ch. 1.3 - What do the electrical permittivity and magnetic...Ch. 1.3 - What are the three branches and associated...Ch. 1.4 - How can you tell if a wave is traveling in the...Ch. 1.4 - Prob. 7CQCh. 1.4 - Why does a negative value of 0 signify a phase...Ch. 1.4 - Consider the red wave shown in Fig. E1.1. What is...Ch. 1.4 - The wave shown in red in Fig. E1.2 is given by...
Ch. 1.4 - The electric field of a traveling electromagnetic...Ch. 1.4 - Prob. 4ECh. 1.4 - The red wave shown in Fig. E1.5 is given by...Ch. 1.4 - An electromagnetic wave is propagating in the z...Ch. 1.5 - What are the three fundamental properties of EM...Ch. 1.5 - What is the range of frequencies covered by the...Ch. 1.5 - Prob. 11CQCh. 1.6 - Express the following complex functions in polar...Ch. 1.6 - Show that 2j=(1+j). (See EM.)Ch. 1.7 - Prob. 12CQCh. 1.7 - How is the phasor technique used when the forcing...Ch. 1.7 - A series RL circuit is connected to a voltage...Ch. 1.7 - A phasor voltage is given by V=j5V. Find (t).Ch. 1 - A 2 kHz sound wave traveling in the x direction in...Ch. 1 - For the pressure wave described in Example 1-1,...Ch. 1 - A harmonic wave traveling along a string is...Ch. 1 - A wave traveling along a string is given by...Ch. 1 - Two waves, y1(t) and y2(t), have identical...Ch. 1 - The height of an ocean wave is described by the...Ch. 1 - A wave traveling along a string in the +x...Ch. 1 - Two waves on a string are given by the following...Ch. 1 - Give expressions for y(x, t) for a sinusoidal wave...Ch. 1 - An oscillator that generates a sinusoidal wave on...Ch. 1 - Prob. 11PCh. 1 - Given two waves characterized by...Ch. 1 - The voltage of an electromagnetic wave traveling...Ch. 1 - A certain electromagnetic wave traveling in...Ch. 1 - Prob. 15PCh. 1 - Prob. 16PCh. 1 - Complex numbers z1 and z2 are given z1=3j2z2=4+j3...Ch. 1 - Complex numbers z1 and z2 are given by...Ch. 1 - If z=2+j4, determine the following quantities in...Ch. 1 - Find complex numbers t=z1+z2 and s=z1z2, both in...Ch. 1 - Complex numbers z1 and z2 are given by...Ch. 1 - If z=3j5, find the value of ln(z).Ch. 1 - If z = 3 j4. find the value of ez.Ch. 1 - Prob. 24PCh. 1 - A voltage source given by s(t)=25cos(2103t30)(V)...Ch. 1 - Find the phasors of the following time functions:...Ch. 1 - Find the instantaneous time sinusoidal functions...Ch. 1 - A series RLC circuit is connected to a generator...Ch. 1 - The voltage source of the circuit shown in Fig....
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