Recent content by ItsTheSebbe

I found an error in my program, which solved the problem.

Homework Statement The attempt at a solution Constructing the total impedance of the circuit as follows, $$\frac{1}{Z_T}=\frac{1}{Z_R}+\frac{1}{Z_C}+\frac{1}{Z_L}$$ where $Z_R=R$, $Z_C=-j\frac{1}{\omega C}$ and $Z_L=j\omega L$. $$\frac{1}{Z_T}=\frac{1}{R}+j\omega C+\frac{1}{j\omega L}$$...

In my physics courses I have seen this kind of notation several times now: $$ \frac {A/B} {C}$$ For instance: or To me it doesn't seem intuitive and ## \frac A {BC}## would seem like a neater way of writing it. Therefore I wonder if there's any specific reason to why people write it...

Now how can I get from ##x(t) = C_3 \cos(\sqrt{\frac{k}{m}} t) + C_4 \sin(\sqrt{\frac{k}{m}} t)## to a form of ##x(t)=Acos(\omega t+\phi)##?

ooh, yeah that does make sense, therefore it needs to negatively charged. I was failing to see the connection between the image and the formula. Thanks!

Aah, that makes sense. However that leads me to another problem, not being able to find a real value for the time: ##\vec E=\frac {\Delta V} {\Delta d} \hat d=- \frac {V_R-V_L} {L} =- \frac {V_0}{L} ## ##\vec F=q \vec E=-q \frac {V_0} {L}## ##\vec a=\frac {\vec F} {m} =-\frac {qV_0} {mL}##...

Well since ##V_0=V_R-V_L## and ##V_0>0## The potential in ##V_R## should be higher than in ##V_L## so we'de get an homogeneous electric field from ##V_R## to ##V_L## like this: Since the charge will go in the direction of the electric field if q is positive, shouldn't we just take a positive sign?

Homework Statement Can't really find out b, probably due to a mistake in a. Was wondering what I did wrong. Homework Equations Kinematic equations of motion, w/ constant a ##F=qE## The Attempt at a Solution [/B] (a) ##E=\frac {\Delta V} {\Delta d}= \frac {V_R-V_L} {L} = \frac {V_0}{L} ##...

I'm a bit torn on what the difference between analysis and calculus is, I read somewhere that calculus is pretty much analysis without proofs? Either way, I see a lot of people mention problems being on calculus 1 or 2 level. I have finished Analysis 1 and 2 and covered stuff like (series, ODE...

Homework Statement When I was in high school I was thaught that the period of a simple harmonic oscillation (mass on spring, ball on pendulum, etc) was equal to ##T=2\pi \sqrt \frac m k## though they have never explained to me why. That's what I wanted to find out. So for example, let's take a...