Recent content by Malgrif

Ah, I see. Thank you very much. I got the answer =)

Homework Statement I want to know the steps involved in finding the magnitude of a complex exponential function. An example of the following is shown in this picture: Homework Equations |a+jb|=sqrt(a^2+b^2) |x/y|=|x|/|y| The Attempt at a Solution For the denominator, I replaced z with e^jw...

Engineering is great fun. However, it's not like physics or mathematics where most times problems are extremely abstract and idealized and there's always a "right" answer. Engineering is an approximate science, meaning that there is no right answer. Engineering requires mathematics and physics...

Yup just saw it myself! Thank yoU!

Oh I found my mistake. I applied the identity incorrectly. So it is just (cosx -1)^2 + (sin^2(x)) which will come to 2 - 2cos(x) Thanks Sammy!

I did... So from the start: |(e^jx - 1)^2| = | (cosx +jsinx -1)^2| using |a+jb|^2=a^2+b^2 we get (cosx - 1)^2 + (jsinx)^2 = cos^2(x)-2cosx +1 - sin^2(x) using sin^2(x)=1-cos^2(x) = 2cos^2(x) - 2cos(x)

Well, I got that far on my own. The final simplification is the issue. so after expansion I get: cos(x)^2-2cosx+1-sin(x)^2 I use Pythagorean identity to get: 2cos(x)^2 - 1 + 2cosx + 1 so 2cos(x)^2 + 2cosx What's next? Or where's the error?

Ok. Could you go through the steps?

Sorry EE student here. Hm, maybe I'm missing the bigger picture then. This is part of my digital systems homework, regarding filter design. The question I posed is of my own formulation, as that is where I am stuck with the with problem. If the question is nonsensical i must be missing a...

Homework Statement Given (e^(ix) - 1)^2 , show that it is equal to 2-2cosx Homework Equations e^ix = cosx + isinx The Attempt at a Solution After subbing in Euler identity and expanding I get: cos(x)^2+sin(x)^2-2cosx-2jsinx+2jcosxsinx + 1 after using the addtion formulas I get...

oh alright. is there another way to solve that problem without relying on that though. That equation is presented in a later section and the question is presented with only knowledge of potential energy and electric potential assumed.

Homework Statement Much of the material making up Saturn's rings is in the form of tiny dust grains having radii on the order of 10^-6 these grains are located in a region containing a dilute ionized gas, and they pick up excess electrons. As an approximation suppose each grain is sphereical...

Is there a numerical answer to this question? I used your equations and ended up with t = d/v. and just to clarify, does your equation mean mean the total distance from the freefalling ball to the ground minus how much the ball free fell before the second ball collided with it?

Homework Statement An Astronaugt is doing an experiment on an alien planet. She fires a ball straight up towards a target ball that is dropped at the same time as the lower ball is launched. If air resistance is ignored, how long does it take for the two balls to collide? Homework...

Homework Statement A sunbather, drifting downstream on a raft, drives off the raft just as it passes under a bridge and swims against the current for 15min. She then turns and swims downstream, making the same total effort and overtaking the raft when it is 1.0km down stream from the bridge...