# Physics GRE equations

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 Author: broach13 ID: 306332 Filename: Physics GRE equations Updated: 2016-07-23 07:56:22 Tags: physics gre equations Folders: Description: Some relevant equations for the physics GRE Show Answers:

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1. Power (dot product)
2. Coefficient of static friction; angle
3. Lagrangian (equation of motion)
4. Force; potential energy
5. Hamiltonian (equations of motion)
,
6. Center of mass integral
7. Moment of inertia integral
8. Torque (cross product)
9. Power (rotation, dot product)
10. Angular momentum (cross product)
11. Newton II (rotational)
12. Pendulum (period, simple)
13. Pendulum (period, simple, moment of inertia)
14. Kepler III
15. Pressure vs depth
16. Buoyant force
17. Equation of continuity
18. Bernoulli
19. Wave speed in a string (tension, density)
20. Wavenumber
21. Wave equation
22. Power delivered by oscillation
23. Speed of sound
24. Decibels
25. Hamiltonian (given Lagrangian)
26. Gauss law electricity
27. Gauss law magnetism
29. Ampere-Maxwell law
30. Divergence theorem
31. Stokes theorem
32. E field from potentials
33. B field from potentials
34. Poynting vector
37. EM wave relates E,B
38. Lorentz force
39. Lorentz force (current wire)
40. Auxiliary D, H fields
41. Electric polarization
42. Magnetization
43. Dielectric constant (rel. permittivity)
44. Relative permeability
45. Defn of diamagnetism
46. Defn of paramagnetism
47. Defn of ferromagnetism
Like paramagnetism,but more extreme and with domains
48. Electric dipole moment
49. Potential energy of E dipole
50. Torque on magnetic dipole
51. Potential energy on B dipole
52. B field inside long solenoid
53. E field inside conductor
0
54. Direction of E field outside conductor
Normal to surface
55. Potentials of conductor
Surface is equipotential
56. Define n-type semiconductor
Doped with atoms carrying excess electrons (e.g. nitrogen-group atoms like P or As)
57. Define p-type semiconductor
Doped with atoms carrying fewer electrons (results in holes) (e.g. Al-group atoms like gallium)
58. E field at interface (boundary cond)
•
59. B field at interface (boundary cond)
(parallel components discontinuous)
60. What happens when EM wave hits conductor?
E field changes phase by 180 deg, B field doesn't change phase.
61. Ohm's law (the better variant)
62. Defn of current density
=
63. Resistance from resistivity
64. Resistors (series, parallel)
Additive, reciprocal of sum of reciprocals
65. Capacitors (series, parallel)
Reciprocal of sum of reciprocals, additive (opp. resistors)
66. Def capacitance
67. Capacitor energy
68. RC circuit time constant
69. Definition of inductance
70. Solenoid inductance
71. Faraday's law for inductor (emf)
72. Energy of inductor
73. LC circuit frequency
74. RLC circuit (damped frequency)
75. Reactance (capacitive)
76. Voltage/current lag in AC circuit with capacitor
Voltage lags current by 90 deg
77. Inductive reactance
78. Voltage/current lag in AC circuit with inductor
Current lags voltage by 90 deg
79. Impedance
80. "Ohm's law" in AC circuits
81. Joule heating losses
82. Voltage transformer (in/out)
83. Current transformer (in/out)
84. Equipartition theorem
Each degree of freedom contributes 0.5*k*T
85. rms speed of ideal gas
86. most probable speed of ideal gas
87. avg speed of ideal gas
88. Order of v(rms), v(avg), and v(mp) in ideal gas
v (rms) > v(avg) > v(mp)
89. Mean free path (cross section)
90. Internal energy of ideal gas
91. Relate const. pressure & const. vol heat capacity
93. Adiabatic constant of monatomic gas
5/3
94. Partition function
(g is degeneracy)
95. Average energy given partition function
96. Relate probability to partition function
97. Fermi-Dirac distribution
98. Bose-Einstein distribution
99. Entropy (microstates)
100. Entropy (heat)
(law 3 fixes S(0) = 0)
101. Entropy (partition function)
S
102. Define temperature in terms of entropy
103. Const pressure heat capacity Maxwell relation
104. Const vol heat capacity Maxwell relation
105. Dulong-Petit model
• Heat-capacity for solid @ high T
106. Debye model of heat capacity
as T->0
107. Clockwise process in PV diagram
Does work on surroundings
108. Counterclockwise process in PV diagram
Work done on surroundings
109. Carnot engine
• 1. Isotherm expn
• 3. Isotherm comp
110. Thermodynamic efficiency
111. Helmholtz F.E.
112. Enthalpy
113. Gibbs F.E.
114. Partition function & Helmholtz
115. Chem potential and Helmholtz F.E.
116. Blackbody power
117. Wien's law
118. Planck distribution
119. Speed of EM wave (electromag constants)
120. Phase velocity
121. Group velocity
122. Index of refraction
123. Object distance / image distance for plane mirror
124. Magnification of spherical mirror
125. Magnification of image
126. Diffraction limit

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