Homework Statement
Find consensus (redundant) terms for the minimal SOP solution for the following function (inputs A,B,C,D and output F):
Σm(1,3,4,5,7,10,11,12,14,15)
Homework Equations
n/a
The Attempt at a Solution
I find the minimal SOP solution is F=A'D + AC + BC'D'
Then it seems like...
Homework Statement
Homework Equations
H(z) = Y(z)/X(z)
The Attempt at a Solution
I realized this wasn't in partial fraction form because the 1+z-1+0.5z-2 has non-real roots. I multiplied the 1st fraction part by z1 and the 2nd fraction by z2, then I combined them into one fraction and I...
Homework Statement
Consider a feedback amplifier for which the open loop gain A(s) is given by:
A(s) = X/ [(1+s/Y)*(1+s/Z)2] |s=jω
Where X = 7500, Y = 90000, and Z = 800000
a) If the feedback factor is independent of frequency, find the frequency at which the phase shift is 180°.
b) Find the...
yeah, I guess i didn't word it correctly. what it reads exactly is 'given a sequence x[n] with Fourier transform Xejw, determine the Fourier transform of the sequences in terms of Xejw.
Homework Statement
Given x[n] with transform X(ejw), find the Fourier transform in terms of X(ejw).
x1[n]=[0.9ncos(0.6*pi*n)] * x[n-2]
Homework Equations
time shift: x[n-k] -> e-jwkX(ejw)
convolution: x[n] * h[n] -> X(w)H(w)
freq. shift: x[n]ejwcn -> X(ew-wc)
The Attempt at a Solution
I...
Homework Statement
A DT system is defined by the input-output relationship y[n] = x[n] ∗ h[n],
where x[n] is input, y[n] is output, '*' is convolution, and h[n] = u[n+1].
Is this an LTI system? Explain.
Homework Equations
x[n] - input, h[n] - impulse response
y[n]=h[n]*x[n] = Σ (k=-inf to inf)...
Homework Statement
Homework Equations
lambda= 2*pi / k
Ei(z), Ei_perpendicular (z), Ei_parallel(z) eq.
epsilon_r1=1, epsilon_r2=2.25
eta_1=120*pi, eta_2=80*piThe Attempt at a Solution
I having trouble understanding some parts of this problem. i get k1=3.61, k2=5.42 and for d)...
I get B(t)=u*N*I0*sin(wt)/L, but I was wondering if this is wrong because it should be Bz. also I think it meant E(t) because we need to plot it against t.
Should I just use the solenoid equations? Bz=u*I/(2*pi*r) but since I has time dependence too, would I use just I am (magnitude) instead of the cos(wt)? I guess I would convert Bz then to Et but it would be without the the z in equation.
Homework Statement
In the picture in the figure, three coils are tightly wrapped around a non-magnetic cylinder of diameter Dcyl. Each coil is defined through the diameter of each wire comprising the coil, dcoil1-dcoil3, the current going through each coil, I1-I3, and the number of turns in...
I guess I'm confused because I don't understand how diameters matter in finding the B field. Also does the Bz = (u0*N*I)/L equation apply to whole cylinder or to each wire/coil too? For part 1) I get if all coils are identical, the B field through each is same so total B field is Bz=B1+B2+B3 or...
Homework Statement
In the picture in the figure, three coils are tightly wrapped around a non-magnetic cylinder of diameter Dcyl. Each coil is defined through the diameter of each wire comprising the coil, dcoil1-dcoil3, the current going through each coil, I1-I3, and the number of turns in...
oh yeah, I didn't think of that. V(x) = 2*sin(0.2*pi*x), so I guess I take the derivative of this to find E field? dV/dx = 2*0.2*pi*cos(0.2*pi*x), and at x=5, E=-dV/dx=1.26?
Homework Statement
Homework Equations
E = -dV/dx ?The Attempt at a Solution
not really sure how to do this problem. I think I understand E field is negative of slope of V/x, but I'm getting it wrong. just looking at it, I see V=-2 at x=7.5. so the E field to right of x= 5 is y2-y1/x2-x1=...