Z-transform of a conjugated sequence ("a straightforward" exercise)
Homework Statement
The conjugation property is expressed as x^*[n] \stackrel{Z}{\leftrightarrow} X^*(z^*)
This property follows in a straightforward maner from the definition of the z-transform, the details of which are left...
I've connected the 3 wires as shown in the picture: GROUND, GREEN, and RED (the latter 2 having their enamel removed).
[PLAIN]http://img821.imageshack.us/img821/4133/nylonstranded.jpg [Broken]
But I'm getting only low-volume (un-amplified) sound. Now, if I connect either GREEN or RED wire to...
Heating oil: effective or "real" output/yield (per liter)
http://en.wikipedia.org/wiki/Heating_oil" [Broken] says that
which is about 11 kWh/L.
I was given an unbiased (but not necessarily correct) number that the effective output is about 8 kWh/L ...
... and a potentially biased number...
Show that "power supplied" = "power dissipated"
Homework Statement
For the circuit of Fig. 3-42, show that the power supplied by the sources is equal to the power dissipated in the resistors.
Ans. P_T=940.3\text{ }W
[PLAIN]http://img269.imageshack.us/img269/2010/dsc01005kn.jpg [Broken]...
Homework Statement
A practical current source has a current of 22 A. Loading the source with 50 \Omega results in terminal voltage of 390.3 V. Obtain the source constants, I and R.
Homework Equations
V=I\times R
The Attempt at a Solution
In my clumsy picture below, shouldn't I_{load} be...
Homework Statement
The current after t=0 in a single circuit element is as shown in Fig. 2-37. Find the voltage across the element at t=6.5\mu s, if the element is (a) 10 k\Omega, (b) 15 mH, (c) 0.3 nF with Q(0)=0.
Ans. (a) 25 V; (b) -75 V; (c) 81.3 V...
Homework Statement
A capacitance of 2\mu F having a charge Q_0 is switched into a series circuit of 10\Omega resistance. Find Q_0 if the total energy dissipated in the resistance is 3.60 mJ.
Ans. 120 \mu C
Homework Equations
Q=CV
The Attempt at a Solution
E=\int_0^\infty...
Homework Statement
A capacitance of 60 \mu F has the voltage waveform shown in Fig. 2-36. Find P_{max}.
[PLAIN]http://img828.imageshack.us/img828/5255/unled2copy.jpg [Broken]
Homework Equations
p(t)=i(t)u(t)=\left(C\frac{du(t)}{dt}\right)u(t)
The Attempt at a Solution
When is power at...
Homework Statement
An inductance of 3 mH has the following voltage waveform: for 0<t<2\text{ }ms, v=15\text{ }V; for 2ms<t<4ms, v=0; and for 4\text{ }ms<t<6\text{ }ms, v=-30\text{ }V. Assuming i(0)=0, find the current at time (a) 1 ms, (b) 4 ms, (c) 5 ms.
Ans. (a) 5 A; (b) 10 A; (c) 0...
Find "max. stored energy" (in capacitance and inductance)
1.) I'll start with capacitance since I get closer to solution (than in inductance problem). :redface:
First get the voltage v(t)=\frac{1}{C}\int i(t)dt=\frac{1}{C}\int \frac{V_m}{R}e^{-\frac{t}{RC}}=-V_m e^{-\frac{t}{RC}}
Now...
Homework Statement
Cylinder with mass of 2 kg can be rotated around fixed horizontal geometrical axis. Around cylinder's circumference there is wounded rope, end of which is pulled by force equal 2,5 N in a horizontal direction, so that cylinder's rotation is accelerated. In what time does end...
Homework Statement
"Simplify: (a+2b+3c, 4a+5b+6c, 7a+8b+9c)."
All of these are vectors (a=\vec{a}, etc.)
Homework Equations
I know that set of vectors \vec{x}_1+\cdots+\vec{x}_n \in V is linearly independent
if linear combination \alpha_1\vec{x}_1+\cdots+\alpha_n\vec{x}_n equals \vec{0}...