Recent content by Jake 7174

Homework Statement Calculate the value of the wave at t = (2, 3, 4, 10) ns 0.4 cos(10^8 * t + (1/3) * y) az Homework Equations N/A The Attempt at a Solution This is the last part of a problem. I have already found the phase shift of 1/3 and wavelength of 6 pi. I have already been given the...

Ahh.. of course. Terminal velocity doesn't exist because there is nothing to cancel Ug. Thank you.

Homework Statement A spherical object is dropped from an elevation great enough such that it will achieve terminal velocity for some period of time before hitting the ground. Once terminal velocity is achieved what is gravitational potential energy converted to. Homework Equations Ug = mgh Ke...

This is a nasty integral. I'm grinding it out.

I think I am very confused and looking for help. I am not trying to get someone to give me an answer. I am looking to understand. Thanks for YOUR help.

There is a pair that looks like it matches much nicerit is t e ^(- at) u(t) ↔ ( 1 / (a + i * ω) )^2 should I be focusing on this pair?

I am a bit confused. The transform looks very similar to the original function with the exception of the denominator being squared. But what do I plug in for F(ω) is it ∫ (2 * 2) / (2^2 + i * ω) eiωt dω

I have this table of pairs I see a similarity with the following e^( -a * |t| ) ; where a∈ℝ > 0 ↔ 2a / (a^2 + I * ω) Would I be correct in saying I can rewrite my original function as f(-ω)4 / (4 - i * t)^2 = 4 / (4 + i * ω)^2 = (2 * 2) / (2^2 + i * ω)^2 Is this is...

Homework Statement Find the Fourier transform of x(t) = 4 / (4 - i*t)^2 where i is imaginary Homework Equations Duality Property F(t) ↔ 2πf(-ω) when f(t) ↔ F(ω) The Attempt at a Solution I am not sure if duality property is the way to solve this. I look at a list of properties and this...

indeed

So does this equation look ok then; ε0/2 ∫∫∫ [ Qd cosθ ar / (2 π ε0 r3) + Qd sinθ aθ / (4 π ε0 r3) ] 2 dr from r=a to ∞ dθ from θ=0 to π dφ from φ=0 to 2π

Right. I left the ^2 off as a simple copy and paste error. This still does not change the fact that I will have division by zero once the integration is carried out.

Good point. That goes to infinity as well. This is probably why my professor asked us to do this problem. It is just something he scribbled on the board as we were packing up.

Isn't the expression Qd cosθ ar / (2 π ε0 r3) + Qd sinθ aθ / (4 π ε0 r3) valid for the E field at any r or θ in spherical coordinate system?

It is not the same in that you have resistors that are neither in series or parrallel Star is also referred to as wye One person may say half a dozen another may say six. They are the same thing.