commit 7a1747568e321dfe10062c2203012e05a5558fdd
parent 58aeb8993e627cbcfb494e7a1bd7b9d432010aed
Author: Ed van Bruggen <ed@edryd.org>
Date: Wed, 1 Nov 2017 19:43:00 -0700
Rename physics notes as a cheatsheet
Diffstat:
2 files changed, 261 insertions(+), 261 deletions(-)
diff --git a/_posts/2017-06-02-gen-phys-cs.md b/_posts/2017-06-02-gen-phys-cs.md
@@ -0,0 +1,261 @@
+---
+title: "general physics cheatsheet"
+tags: phys cheatsheet
+categories: phys
+math: true
+---
+
+$ \newcommand{\e}[1]{ \times 10^{#1}} $
+
+## constants
+
+$m_e = 9.11\e{-31} kg = .511 \frac{Mev}{c^2} = 5.4858\e{-4} u$
+
+$m_p = 1.673\e{-27} kg = 938 \frac{Mev}{c^2} = 1.007276 u$
+
+$m_n = 1.675\e{-27} kg = 940 \frac{Mev}{c^2} = 1.008665 u$
+
+$u = 1.6605\e{-27} kg = 931.5 \frac{Mev}{c^2}$
+
+$e = 1.6012\e{-19} C$
+
+$\mu_0 = 4\pi\e{-7}$
+
+$k = 8.988\e9 \frac{Nm^2}{C^2}$
+
+$\varepsilon_0 = 8.854\e{-12} \frac{F}{m}$
+
+$c = 2.998\e8 \frac{m}{s}$
+
+$h = 6.626\e{-34} Js = 4.136\e{-15} eVs$
+
+$T = 1.6\e{-19}$
+
+$E_1 = -13.6 eV$
+
+$r_0 = 1.2\e{-15} m$
+
+## equations
+
+$\varepsilon_0 = \frac1{4\pi k} = \frac1{\mu_0c^2}$
+
+### electric fields
+
+$E = \frac{\sigma}{\varepsilon_0}$
+
+$\Phi_E = \vec E \cdot \vec A = EA\cos \theta = \frac{q_A}{\varepsilon_0}$
+
+$\vec F_E = \frac{kqQ}{r^2} = Q \vec E$
+
+$W = \vec F \Delta x \cos \theta$
+
+$\Delta U = -\Delta E_k = -W$
+
+$\Delta V = \frac{\Delta U}{q_0} = -\vec E \Delta x$
+
+$V = \frac{kQ}r$
+
+### capacitance
+
+$V = Ed$
+
+$Q = \sigma A$
+
+$C = \frac{Q}V = kC_0$
+
+$U = \frac{CV^2}2$
+
+### electric currents
+
+$V = IR$
+
+$P = IV$
+
+$I = \frac{\Delta Q}{\Delta t}$
+
+$I = v_DAnq$
+
+$I_{rms} = \frac{I_0}{\sqrt2}$
+
+$R = \frac{\rho \ell}A$
+
+### dc circuits
+
+$\tau = RC$
+
+$V_0 = \frac{Q_0}C$
+
+$I_0 = \frac{V_0}R$
+
+$Q_{max} = CV_B$
+
+$\sum I_{in} = \sum I_{out}$
+
+$\sum V_{loop} = 0$
+
+#### series
+
+$\sum Q = Q_1 = Q_2 = \cdots = Q_n$
+
+$\frac1{\sum C} = \frac1{C_1} + \frac1{C_2} + \cdots + \frac1{C_n}$
+
+$\sum U = \frac{Q_1^2}{2C_1} + \frac{Q_2^2}{2C_2} + \cdots + \frac{Q_n^2}{2C_n}$
+
+$\sum R = R_1 + R_2 + \cdots + R_n$
+
+#### parallel
+
+$\sum V = V_1 = V_2 = \cdots + R_n$
+
+$\sum C = C_1 + C_2 + \cdots + C_n$
+
+$\sum U = \frac{Q_1}{2C_1} + \frac{Q_2}{2C_2} + \cdots + \frac{Q_n}{2C_n}$
+
+$\frac1{\sum R} = \frac1{R_1} + \frac1{R_2} + \cdots + \frac1{R_n}$
+
+### rc circuits
+
+$i = I_0 e^{\frac{-t}\tau}$
+
+$V_R = I_0 R e^{\frac{-t}\tau}$
+
+$U = \frac{q^2}{2C}$
+
+$P = i^2 R$
+
+#### charging
+
+$q = Q_{max} \left(1 - e^{\frac{-t}\tau}\right)$
+
+$V_C = V_B \left(1 - e^{\frac{-t}\tau}\right)$
+
+#### discharging
+
+$q = Q_{max} e^{\frac{-t}\tau}$
+
+$V_C = V_B e^{\frac{-t}\tau}$
+
+### magnetism
+
+$\vec F_B = q \vec v \cdot \vec B = qvB\sin\theta$
+
+$F_B = \frac{mv^2}{R} = qvB$
+
+$\frac{F_M}{\ell} = BI\sin\theta$
+
+$B = \frac{\mu_0 I}{2 \pi r} = \frac{\mu_0 I N}{\ell}$
+
+$\frac{F_{21}}{\Delta \ell} = \frac{\mu_0 I_1 I_2}{2 \pi d}$
+
+### electromagnetic induction
+
+$\mathcal{E} = \left\|\frac{\Delta \Phi_B}{\Delta t}\right\| = -vBL = NBAq$
+
+$I_{avg} = \frac{\left\|\mathcal{E}\right\|}R$
+
+$\Delta \Phi_B = B \Delta A = \Delta B A$
+
+$U = \frac{LI^2}2 = \frac{B^2V_{ol}}{2\mu_0}= \frac{B^2\pi r^2\ell}{2\mu_0}$
+
+$\tau = \vec \mu \cdot \vec B$
+
+$P = \vec F \cdot \vec v = \frac{\left(B \ell v\right)^2}R$
+
+$\frac{N_P}{N_S} = \frac{V_P}{V_S} = \frac{I_S}{V_P}$
+
+### 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 |
+| ------- | --------------- |
+| fingers | $\vec v$ or $I$ |
+| palm | $\vec B$ |
+| thumb | $\vec F$ |
+
+### quantum numbers
+
+| (n, ℓ, m, s) |
+| --------------- |
+| n = 1, 2, 3 … ∞ |
+| ℓ = 0 … n-1 |
+| m = -ℓ … +ℓ |
+| s = ±½ |
diff --git a/_posts/2017-06-02-gen-phys-notes.md b/_posts/2017-06-02-gen-phys-notes.md
@@ -1,261 +0,0 @@
----
-title: "general physics notes"
-tags: phys notes
-categories: phys
-math: true
----
-
-$ \newcommand{\e}[1]{ \times 10^{#1}} $
-
-## constants
-
-$m_e = 9.11\e{-31} kg = .511 \frac{Mev}{c^2} = 5.4858\e{-4} u$
-
-$m_p = 1.673\e{-27} kg = 938 \frac{Mev}{c^2} = 1.007276 u$
-
-$m_n = 1.675\e{-27} kg = 940 \frac{Mev}{c^2} = 1.008665 u$
-
-$u = 1.6605\e{-27} kg = 931.5 \frac{Mev}{c^2}$
-
-$e = 1.6012\e{-19} C$
-
-$\mu_0 = 4\pi\e{-7}$
-
-$k = 8.988\e9 \frac{Nm^2}{C^2}$
-
-$\varepsilon_0 = 8.854\e{-12} \frac{F}{m}$
-
-$c = 2.998\e8 \frac{m}{s}$
-
-$h = 6.626\e{-34} Js = 4.136\e{-15} eVs$
-
-$T = 1.6\e{-19}$
-
-$E_1 = -13.6 eV$
-
-$r_0 = 1.2\e{-15} m$
-
-## equations
-
-$\varepsilon_0 = \frac1{4\pi k} = \frac1{\mu_0c^2}$
-
-### electric fields
-
-$E = \frac{\sigma}{\varepsilon_0}$
-
-$\Phi_E = \vec E \cdot \vec A = EA\cos \theta = \frac{q_A}{\varepsilon_0}$
-
-$\vec F_E = \frac{kqQ}{r^2} = Q \vec E$
-
-$W = \vec F \Delta x \cos \theta$
-
-$\Delta U = -\Delta E_k = -W$
-
-$\Delta V = \frac{\Delta U}{q_0} = -\vec E \Delta x$
-
-$V = \frac{kQ}r$
-
-### capacitance
-
-$V = Ed$
-
-$Q = \sigma A$
-
-$C = \frac{Q}V = kC_0$
-
-$U = \frac{CV^2}2$
-
-### electric currents
-
-$V = IR$
-
-$P = IV$
-
-$I = \frac{\Delta Q}{\Delta t}$
-
-$I = v_DAnq$
-
-$I_{rms} = \frac{I_0}{\sqrt2}$
-
-$R = \frac{\rho \ell}A$
-
-### dc circuits
-
-$\tau = RC$
-
-$V_0 = \frac{Q_0}C$
-
-$I_0 = \frac{V_0}R$
-
-$Q_{max} = CV_B$
-
-$\sum I_{in} = \sum I_{out}$
-
-$\sum V_{loop} = 0$
-
-#### series
-
-$\sum Q = Q_1 = Q_2 = \cdots = Q_n$
-
-$\frac1{\sum C} = \frac1{C_1} + \frac1{C_2} + \cdots + \frac1{C_n}$
-
-$\sum U = \frac{Q_1^2}{2C_1} + \frac{Q_2^2}{2C_2} + \cdots + \frac{Q_n^2}{2C_n}$
-
-$\sum R = R_1 + R_2 + \cdots + R_n$
-
-#### parallel
-
-$\sum V = V_1 = V_2 = \cdots + R_n$
-
-$\sum C = C_1 + C_2 + \cdots + C_n$
-
-$\sum U = \frac{Q_1}{2C_1} + \frac{Q_2}{2C_2} + \cdots + \frac{Q_n}{2C_n}$
-
-$\frac1{\sum R} = \frac1{R_1} + \frac1{R_2} + \cdots + \frac1{R_n}$
-
-### rc circuits
-
-$i = I_0 e^{\frac{-t}\tau}$
-
-$V_R = I_0 R e^{\frac{-t}\tau}$
-
-$U = \frac{q^2}{2C}$
-
-$P = i^2 R$
-
-#### charging
-
-$q = Q_{max} \left(1 - e^{\frac{-t}\tau}\right)$
-
-$V_C = V_B \left(1 - e^{\frac{-t}\tau}\right)$
-
-#### discharging
-
-$q = Q_{max} e^{\frac{-t}\tau}$
-
-$V_C = V_B e^{\frac{-t}\tau}$
-
-### magnetism
-
-$\vec F_B = q \vec v \cdot \vec B = qvB\sin\theta$
-
-$F_B = \frac{mv^2}{R} = qvB$
-
-$\frac{F_M}{\ell} = BI\sin\theta$
-
-$B = \frac{\mu_0 I}{2 \pi r} = \frac{\mu_0 I N}{\ell}$
-
-$\frac{F_{21}}{\Delta \ell} = \frac{\mu_0 I_1 I_2}{2 \pi d}$
-
-### electromagnetic induction
-
-$\mathcal{E} = \left\|\frac{\Delta \Phi_B}{\Delta t}\right\| = -vBL = NBAq$
-
-$I_{avg} = \frac{\left\|\mathcal{E}\right\|}R$
-
-$\Delta \Phi_B = B \Delta A = \Delta B A$
-
-$U = \frac{LI^2}2 = \frac{B^2V_{ol}}{2\mu_0}= \frac{B^2\pi r^2\ell}{2\mu_0}$
-
-$\tau = \vec \mu \cdot \vec B$
-
-$P = \vec F \cdot \vec v = \frac{\left(B \ell v\right)^2}R$
-
-$\frac{N_P}{N_S} = \frac{V_P}{V_S} = \frac{I_S}{V_P}$
-
-### 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 |
-| ------- | --------------- |
-| fingers | $\vec v$ or $I$ |
-| palm | $\vec B$ |
-| thumb | $\vec F$ |
-
-### quantum numbers
-
-| (n, ℓ, m, s) |
-| --------------- |
-| n = 1, 2, 3 … ∞ |
-| ℓ = 0 … n-1 |
-| m = -ℓ … +ℓ |
-| s = ±½ |
