edryd.org

commit 367c43346ffa55b78727a0b80d3c4ccac265d514
parent 38d2379f1e66e81e88f5fe3aab668112bb158b82
Author: Ed van Bruggen <edvb54@gmail.com>
Date:   Mon,  7 Aug 2017 00:43:16 -0700

Add more physics notes

Diffstat:
_posts/2017-06-02-gen-phys-notes.md
 | 
110
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++----------------

1 file changed, 88 insertions(+), 22 deletions(-)
diff --git a/_posts/2017-06-02-gen-phys-notes.md b/_posts/2017-06-02-gen-phys-notes.md
@@ -163,7 +163,87 @@ $P = \vec F \cdot \vec v = \frac{\left(B \ell v\right)^2}R$
 
 $\frac{N_P}{N_S} = \frac{V_P}{V_S} = \frac{I_S}{V_P}$
 
-## right hand rules
+### electromagnetic waves
+
+$v = f\lambda$
+
+$\vec{S} = \frac{EB}{2\mu_0} = \frac{P}A$
+
+$E = \frac{I}{A\mathcal{E}_0} = cB$
+
+$\sum U = U_E + U_B = \mathcal{E}_0E^2$
+
+$U_E = \frac{\mathcal{E}_oE^2}2$
+
+$U_B = \frac{B^2}{2\mu_0}$
+
+$S = \frac{CB^2}{\mu_0} = \frac{\Delta U}{A\Delta t}$
+
+### optics
+
+$\frac1{d_0} + \frac1{d_i} = \frac1{f} = \frac2{r}$
+
+$\frac1{f} = (n-1)\left(\frac1{R_1}-\frac1{R_2}\right)$
+
+$M = \frac{-d_i}{d_0} = \frac{h_i}{h_0}$
+
+$n_1\sin\theta_1 = n_2\sin\theta_2$
+
+$\lambda_m = \frac{\lambda_v}n$
+
+### special theory of relativity
+
+$\Delta t = \gamma \Delta t_0$
+
+$L = \frac{L_0}{\gamma}$
+
+$\gamma = \frac1{\sqrt{1-\frac{v^2}{c^2}}}$
+
+$v = c \sqrt{1-\frac1{\gamma^2}}$
+
+### quantum mechanics
+
+$\hbar = \frac{h}{2\pi}$
+
+$\Delta x \Delta p \gtrsim \hbar$
+
+$\Delta E \Delta t \gtrsim \hbar$
+
+$E_n = \frac{Z^2}{n^2}(-13.6eV)$
+
+### nuclear physics
+
+$r = r_0 A^{1/3}$
+
+$N = N_0e^{-\lambda t}$
+
+$A = \lambda N$
+
+## info
+
+### prefixes
+
+| name  | prefix | power      |
+| ----  | ------ | ---------- |
+| exa   | E      | $10^{18}$  |
+| peta  | P      | $10^{15}$  |
+| tera  | T      | $10^{12}$  |
+| giga  | G      | $10^9$     |
+| mega  | M      | $10^6$     |
+| kilo  | k      | $10^3$     |
+| hecto | h      | $10^2$     |
+| deca  | da     | $10^1$     |
+| -     | -      | -          |
+| deci  | d      | $10^{-1}$  |
+| centi | c      | $10^{-2}$  |
+| milli | m      | $10^{-3}$  |
+| mirco | μ      | $10^{-6}$  |
+| nano  | n      | $10^{-9}$  |
+| pico  | p      | $10^{-12}$ |
+| femto | f      | $10^{-15}$ |
+| atto  | a      | $10^{-18}$ |
+
+### right hand rules
 
 | hand    | vector          |
 | ------- | --------------- |
@@ -171,25 +251,11 @@ $\frac{N_P}{N_S} = \frac{V_P}{V_S} = \frac{I_S}{V_P}$
 | palm    | $\vec B$        |
 | thumb   | $\vec F$        |
 
-## prefixes
-
-| prefix | power      |
-| ------ | ---------- |
-| E      | $10^{18}$  |
-| P      | $10^{15}$  |
-| T      | $10^{12}$  |
-| G      | $10^9$     |
-| M      | $10^6$     |
-| k      | $10^3$     |
-| h      | $10^2$     |
-| da     | $10^1$     |
-| -      | -          |
-| d      | $10^{-1}$  |
-| c      | $10^{-2}$  |
-| m      | $10^{-3}$  |
-| μ      | $10^{-6}$  |
-| n      | $10^{-9}$  |
-| p      | $10^{-12}$ |
-| f      | $10^{-15}$ |
-| a      | $10^{-18}$ |
+### quantum numbers
 
+| (n, ℓ, m, s)    |
+| --------------- |
+| n = 1, 2, 3 … ∞ |
+| ℓ = 0 … n-1     |
+| m = -ℓ … +ℓ     |
+| s = ±½          |