include "../_i/1.h"; ?>
$$n_1\sin\phi_1=n_2\sin\phi_2$$ | $$n=\frac{\text{speed of light in a vacuum}}{\text{speed of light in material}}$$ | $$\phi_c =\arcsin(n_1/n_2)$$ | ||
$$m= \frac{h'}{h}=-\frac{s'}{s}$$ | $$\frac{1}{f}=\frac{1}{s}+\frac{1}{s'}$$ | $$M=\frac{\theta'}{\theta}=\frac{25 \text{ cm}}{f}=\frac{f_o}{f_e}$$ | ||
$$\frac{2}{R}=\frac{1}{f}$$ | $$\frac{1}{f}=(n-1)\left[\frac{1}{R_1}+\frac{1}{R_2}\right]$$ | |||
$$m\lambda=d\sin\theta$$ | $$\sin\theta=\lambda/a$$ | $$\alpha=1.22\lambda/a$$ |
You should know:
The final will concentrate (60-70% of it) on the most recent material from chapters 32-36. The remainder will be drawn from earlier parts of the course.
Of this earlier material (30-40% of the exam) there will *certainly* be a problem using Ampere's Law, and one involving series/parallel resistances.
$$I=\frac{1}{R} V$$ | $$\myv B = \int d\myv B=\int \frac{\mu_0}{4\pi}\frac{I\,d\myv \ell \times \uv r}{r^2}$$ | |||
$$R=\rho \frac{l}{A}$$ | $$\myv F_m = q \myv v \times \myv B=I\myv \ell\times \myv B$$ | $$\myv B = \frac{\mu_0}{4\pi}\frac{q\myv v\times \uv r}{r^2}$$ | ||
$$P=VI$$ $$ P_\text{ave}=V_\text{RMS}I_\text{RMS}$$ |
$$B=\frac{\mu_0 I}{4\pi}\frac{2a}{x\sqrt{x^2+a^2}}=\frac{\mu_0 I}{2\pi x}\sin \theta_\text{max}$$ | $$\omega_\text{cyc} = \frac{qB_\perp}{m}$$ | ||
$$\myv A \times \myv B \equiv AB\sin\theta \,\uv{n}$$ | $$\Phi_m =\int_{\cal S}B_\perp\,da$$ | $$\mu_0=4\pi\times10^{-7}T\cdot m/A$$ | ||
$$B=\mu_0nI$$ | $$\oint \myv B\cdot d\myv \ell =\oint B_\parallel\,d\ell= \mu_0 I_\text{enc}$$ | $$B=\frac{\mu_0 I a^2}{2(x^2+a^2)^{3/2}}$$ | ||
$$\mu=I*A$$ | $$M=\frac{N_2\Phi_2}{i_1}=\frac{N_1\Phi_1}{i_2}$$ | $${\cal E}=-N\frac{d\Phi}{dt}=L\frac{di}{dt}$$ | ||
$$U=-\myv \mu \cdot \myv B=\mu B \cos\theta$$ | $${\cal E}=vBL$$ | $${\cal E}=\oint \myv E \cdot d\myv \ell = -\frac{d\Phi_m}{dt}$$ | ||
$$V_\text{RMS}=V/\sqrt 2$$ | $$\tau=L/R$$ | $$\tau=1/RC$$ | ||
$$I=nqv_DA$$ | $$e=1.6\times 10^{-19}\,\text{C}$$ | $$m_e=9.109\times 10^{-31}\,\text{kg}$$ |
You should know:
You will not need to review dielectrics, after all.
$$\myv F=k\frac{qQ}{r^2}\uv r$$ | $$k=\frac{1}{4\pi \epsilon_0}=9\times 10^9\frac{N\cdot m^2}{C^2}$$ | |||
$$\oint E_\perp \,dA=\frac{q}{\epsilon_0}$$ | $$\Phi=\int_{\cal S} E_\perp dA$$ | $$U=qV$$ | ||
$$\myv E=k\frac{q}{r^2}\uv r$$ | $$\myv E=\frac{k\lambda}{2}\frac{1}{s}\uv s$$ | $$\myv E=2\pi k\sigma\frac{\myv z}{|z|}$$ | ||
$$\Delta V = -\int \myv E \cdot d \myv l$$ | $$V=k\frac{Q}{r}$$ | $$Q=CV$$ | ||
$$u=\frac{1}{2}\epsilon_0 |E^2|$$ | $$e=1.6\times 10^{-19}\,\text{C}$$ | $$m_e=9.109\times 10^{-31}\,\text{kg}$$ |