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...
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...