Homework Statement
Somehow the upper two statements are manipulated to get the lower one but i can't work out how... (see attatched image)
Homework Equations
N/A
The Attempt at a Solution
Oh you don't want to see mypages of scribble. I can't get close to that expression!
I'm not really sure, the textbook seems to ignore the part containing the 'z' but this confuses me because it is to the power 'n' so i would have thought you would need to include it when finding the limit as 'n' goes to infinity. To make things more confusing our lecturer uses the ratio test...
Homework Statement
Find the centre and radius of convergence:
\stackrel{\infty}{n=1}\sum n.(z+i\sqrt{2})^{n}
Homework Equations
1) Ratio test \left|\frac{a_{n+1}}{a_{n}}\right|<1
2) Textbook uses \stackrel{lim}{n-> \infty}\left|\frac{a_{n}}{a_{n+1}}\right|
The Attempt at a Solution
using...
Actually, i thought about it more and i think i finally kind of understand it... too messy to put into words but it sort of makes sense
nickjer - the voltage offset eliminates the error due to misaligned voltage measurement probes.. you take one hall voltage measurement, reverse the magnetic...
Homework Statement
Show that the Hall voltage reverses sign if either the current or magnetic field direction is reversed, but the voltage offset reverses sign only if the current direction is reversed. Use the information to confirm the validity of equation see eq1 image
Homework...
To be more precise, I am trying to to a Bode diagram for a simple circuit. I need to estimate |H(j\omega)| in decibels as \omega -> \infty and as \omega -> 0.
The transfer function is |H(j\omega)| = \frac{\sqrt{\left(RCj\omega\right)^{2}}}{\sqrt{\left(RCj\omega\right)^{2}+1}}
Homework Statement
\frac{\infty}{\sqrt{\infty}}
I would have said it would be infinity because infinity would grow a lot faster than its square root wouldn't it?
But my friend swears the limit is equal to 1?
Homework Statement
As part of a calculus question, the solutions manual takes \frac{2y^{2}}{4+y^{2}}
And somehow turns it into \left(2-\frac{8}{4+y^{2}}\right)
Ive scribbled all the things i can thinkof on paper and still can't seem to get from one to the other, its driving me nuts...
Homework Statement
Compute the unit-pulse response h[n] for n= 0,1,2,3 for the following discrete time system:
y[n+2] + 1/2y[n+1] + 1/4y[n] = x[n=1] - x[n]
Homework Equations
I think i am supposed to replace the functions of x with delta functions, which are zero at all except n=0...