Final Exam Formula Sheet - General Physics II | PHYS 202, Exams of Physics

Download Final Exam Formula Sheet - General Physics II | PHYS 202 and more Exams Physics in PDF only on Docsity! Physics 202H Spring 2009 Final Exam Formula Sheet Fundamental Constants charge of electron e = 1:602 1019C Planck’s constant h = 6:63 1034J
s permittivity of free space "0 = 8:85 1012 C 2 N
m2 permability of free space 0 = 4  107 N=A2 speed of light in vacuum c = 3 108m=s electron mass me = 9:11 1031kg alpha particle mass m = 6:6 1027kg electron-volt 1 eV = 1:602 1019 J index of refraction in air, n = 1 Formulae Semester 1 (phys 201) Kinematic motion in 1D v = at+ v0 d = 12at 2 + v0t+ d0 d = vt Kinetic Energy: E = 12mv 2 Newton’s 2nd law: F = ma Semester 2 (phys202) - Electrostatics, Electricity, and Magnetism Electrostatic Potential Energy: U = 14"0 Qq0 r Electrostatic Potential V = Uq0 (U is the electrostatic potential energy) Electric Field: E = Vr ; or Fc q0 Coulomb force: F = Ur Gauss’law:  = Q"0 ;  = E

A
cos  Current I =
q
t Ohm’s law V = IR Capacitance: q = CV Capacitance (parallel plate) C = "0Ad Energy in a capacitor U = 12CV 2 Capacitive time constant  c = RC Lorentz Force: ! F = q ! E + q!v !B EMF = N
m
t Magnetic moment of a current loop  = N
IA Torque on a current loop  = IAB sin  Biot Savart Law B = 0I2d Magnetic ‡ux  = BA cos 1 Inductance EMF = L
I
t Inductive time constant L = LR Energy in an inductor W = 12LI 2 0 Semester 2 (phys202) - Optics Law of re‡ection: i = r Snell’s law: n1 sin 1 = n2 sin 2 Index of refraction: n = cv = p "p 0"0 Total internal re‡ection sin c = n2n1 Thin lens equation: 1f = 1 o + 1 i Magni…cation: m = io Rules for image formation 1. f is +(-) for converging (diverging) lenses 2. o is +(-) of object is same (opposite) side as incident light 3. i is +(-) if image is opposite (same) side as incident light (- means virtual) 4. object and image heights are positive above the optical axis, and negative below it. Converging lens: 1. If o is outside of f, image is real and inverted 2. If o is inside of f, image is virtual and upright Diverging lens: 1. image is always virtual and upright Diopter: D = 1f Angular magni…cation: M =  0  ;M = 25 f + 1 (near point), M = 25 f image at in…nity L=16 cm for most microscopes Telescope: M = f0fe Double slit interference m = d sin  ! m = d yL for a bright spot at y and m+ 12 for a dark spot This condition inverts for re‡ection from a higher index Single slit di¤raction a sin  = m Rayleigh criterion for resolution min = 1:22 D Malus’law for polarization I = Im cos2 Brewster’s angle tan B = ntni Semester 2 (phys202) - Special Relativity Energy-mass equivalence E = mc2 Einstein velocity addition (u =obj. wrt inertial frame, v =you wrt inertial frame; u0 =obj wrt you) u = u 0+v 1+u 0v c2 2