EBK ELECTRIC CIRCUITS
10th Edition
ISBN: 9780100801790
Author: Riedel
Publisher: YUZU
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Question
Chapter 1, Problem 7P
a.
To determine
Find the expression of charge
b.
To determine
Find the total charge that accumulates at the upper terminal.
c.
To determine
Find the value of charge at time
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Q2)a) consider the Circuit in figure 2 with initial conditions of Vc (o) = 5V, I₁ (o) = 1A,
(i) redraw the circuit in the frequency domain using laplace Wansforms.
(ii)
using this circuit derive an
equation for the Voltage across the inductor in the time domain..
3.12
ww
=V/3F
ZH
(figure 2)
d) Solve the following second order differential equation using laplace transforms.
d12
+
5 dx 3x=71
dt
-
with initial conditions x² (0) = 2, α(0) = 1
b) Another periodic waveform is defined by
T
c)
g(t)=
T
with g(t+mT) = g(t) and m is an integer.
(i)
Sketch g(t) over two full cycles in the time domain, labelling the axes.
(ii)
Derive the formulae for the complex Fourier coefficients c₁ for g(t).
For a periodic waveform h(t), if its complex Fourier coefficients are
T
T
when n is odd
T
2n²²
T
4nn
when n is even and not zero
4nn
please derive the first five non-zero terms of the real Fourier series for h(t).
Q3)α) f(t) = (-+- 1 Isto
f(t+mT) = f(t).
L+- I Ost ST
integer
(i) sketch f(t) 2 full cycles time domain. (labelling the axis).
(ii) Derive the formula for the real fourier Coefficients
(i) Real Fourier series f(t), first 5 non-terms.
an
bn for f(t).
Chapter 1 Solutions
EBK ELECTRIC CIRCUITS
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