Modern
The equation for change in internal energy
deltaU = Q + W
A body remains at rest or in uniform motion unless acted upon by a force. In other words, its velocity is constant when the force on that body is F = 0
What is Newton's first law
what is the uncertainty eqn for pos and momentum
Delta(x)Delta(p) >= h, hbar/2, hbar any is fine
What is the equation for the force between two point charges
F = kq1q2/r2
What is the equation of state for an ideal gas
PV = nRT or PV = NKT
RMS velocity eqn
root(3kT/m)
What is the equation for force in terms of potential? (Conservative force)
F = −∇U
Which operator gives the total energy (at an intro level, there are actually quite a few exceptions to this)
hamiltonian
What is the time constant for an RC circut
τ = RC
What is the equation for entropy in the microcanonical ensemble
S =Kb ln(w)
Lorentz transoformation for position equation
x' = gamma(x-beta*c*t)
What is gauss' law for gravitational potential?
g = −∇Φ = − Gm / r2
What is the momentum operator equation
px = -i*hbar*d/dx
What is faraday's law?
Del X E = -dB/dt
What is the canonical partition function
Q(T,V,N) = SUM(e-1/KT * epsi)
relativistic frequency doppler shift eqn
f' = f*Root(1+beta)/Root(1-beta)
What is the laplace equation?
∇2Φ = 0
<psim|psin> = δmn where psim, psin are basis functions for any m,n basis
What is an orthogonal basis
If magnetic monopoles exist, which maxwells equations would need to be changed?
faradays, Del . B = 0
In the canonical ensemble, what is the equation for average energy?
<E> = 1/Z * SUM(E*e-1/KT * epsi)
What is the rydberg eqn
1/lambda = R * (1/n12 - 1/n22)
What is poisson's equation in terms of the mass distribution
∇2Φ = 4*π*Gρ(r)
What is the solution to this integral?
int-inf+inf(e-a*x^2)*dx
root(pi/a)
What are the E and B wave equations for an EM wave
E(x, t) = Emax cos(kx ± ωt)j
B(x, t) = Bmax cos(kx ± ωt)k
or some var st all are perp incl prop dir
What is the equation for the efficiency of a system?
1-Tc/Th or W/Qh where Qh is the heat input