Recent content by ItsTheSebbe

1. Engineering Finding the bandwidth of a parallel RLC circuit (+MATLAB)

I found an error in my program, which solved the problem.
2. Engineering Finding the bandwidth of a parallel RLC circuit (+MATLAB)

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 $Z_L=j\omega L$. $$\frac{1}{Z_T}=\frac{1}{R}+j\omega C+\frac{1}{j\omega L}$$...
3. I Why are fractions sometimes written as such: (A/B)/C?

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...
4. Prove that the period of a SHM is 2pi*sqrt(m/k)

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)##?
5. Velocity Charged Particle between Parallel Plates

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!
6. Velocity Charged Particle between Parallel Plates

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}##...
7. Velocity Charged Particle between Parallel Plates

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?
8. Velocity Charged Particle between Parallel Plates

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} ##...
9. I Difference Analysis and Calculus

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...
10. Prove that the period of a SHM is 2pi*sqrt(m/k)

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...