The 5V exists for all of t. I know you can disregard this due to the DC behavior of the circuit, i.e. the capacitors behaving like open circuits when fully charged. Can I disregard the real portion of my answer, assuming it's just transient noise?
For the circuit shown below with R1 = 100 Ω, R2 = 3 kΩ, C1
= 100 pF and C2 = 139 nF, plot the output voltage as a function of time for 2 cycles
when the input voltage is vin(t) = 5V+1Vsin(2\pift) where (a) f=1 Hz and (b) f=1 MHz
2. Homework Equations
voltage divider...
The problem:
What is the discrete Fourier transform of a constant value?
Example DFT{2}
This is not my homework problem but will help me immensly in solving the actual problem.
DFT formula:
X_{k} =\sumx[n] * e^{\frac{-2\pi kn}{N}} from n = 0 to N-1
where N is the number of...
Find the DTFT of:
h[n]=(-1)^{n}\frac{sin(\frac{\pi}{2}n}{sin(\pi n}
useful properties:
x[n]y[n] --> X[Ω]*Y[Ω]
\frac{sin(\frac{\pi}{2}n}{sin(\pi n} --> rect[\frac{2Ω}{\pi}
I have no clue how to deal with the (-1)[itex]^{n}[\itex] the DTFT of that doesn't converge. . .
any help...
Awesome! So I've been sitting here and had an epiphany. . . I think. . . so here is what I came up with.
Let B = {1,x,x^{2},...,x^{n}} be the standard basis for P_{n}. Since p(x) is in the N(T) iff it's degree is < k, then the null space is all the polynomials with degree k-1 or less, thus...
Define ne a linear operator T : Pn \rightarrow Pn by
T(p(x)) = \frac{d^{k}x}{dx^{n}}p(x)
where 1 \leqk \leqn. Show that dim(N(T)) = k.
i. The null space of a linear operator is all vectors v \in V such that T(v) = 0
ii. The dimension of a vector space V, is the number of vectors in any...
So for starters do you know how to convert from the frequency domain to the time domain? It might help get you in the right direction if you convert your readings.
My apologies for taking so long to reply. I was able to talk to my professor and this is what I have now.
\sum(0.9)^{k}e^{j(\pi/2)k}u[n-k] from k = -∞ to ∞.
this turns into
\sum(0.9)^{k}e^{j(\pi/2)k} from k = 0 to n.
using the property of summation :
\sum a^{k} =...
Determine the unit-step response of the discrete-time LTI
systems described by the following impulse responses:
h[n]=(0.9)^{n}e^{j(\pi/2)n}u[n]So I am completely confused. . . I don't even know how to start. . . I want to say that I need to do a summation but the more examples and text I look...
You have a spherical capacitor with inner conductor radius a and outer conductor with radius b. The capacitor is filled with a perfect homogeneous dielectric of permittivity ε and is connected to a low-frequency time-harmonic voltage v(t)=V_{0}cos(ωt). Find the displacement current density...
Hey guys, I'd assume that this will be a very easy answer. I need to clarify what is an inconsistent linear system. I've worked out my matrix and have achieved this form:
x+0y+z+0w=0
0x+0y+z+w=0
0x+0y+0z+w=0
I know that an inconsistent linear system has no solution i.e 0=1. This is...
that's what I was thinking when you mentioned it in your earlier post! (except you had better words. . . and descriptions. . .) that cleared the entire problem up for me!
Thank you very much! :)
Ok, I think I have it then. So the overall transfer function of the circuit is the addition of the DC and the AC portions of the circuit correct?
(Wording might be a little off)