Equations for Semester 2 Fundamentals

What is the vector form of Coulomb’s Law?

What is the equation for intensity for a classical wave?

What is the equation for kinetic energy of a photoelectron?

E_k = E_p - Φ or E_k = hf - Φ

What is the equation relating energy of a photon, work function, and stopping potential?

E_p - Φ = eV₀

or hf - Φ = eV₀

What is the equation for the Lorentz force?

F = qv x B

If there is a magnetic field and an electric field acting on a charge, what is the total force given by?

F = q(Bv + E)

What is the principle of superposition for electricity?

Force experienced by one charge as a result of a system of charges is just equal to the sum of the forces which would be produced by each of the other charges if it was present alone

What is the vector form of the equation for electric field?

What is the vector form of the equation for force due to the electric field?

What is the vector form of the equation for the electric field?

What is the integral equation for the electric field? (like the vector one)

What is the equation for the dipole moment? - elec

What is the vector expression for the torque on the electric dipole?

What is the equation for magnetic flux?

DELETE

What is the equivalent of Guass’s law for magnetic fields?

What is equation for circular motion in a cyclotron?

What is the equation for cyclotron radius?

R = mv/qB

What is the equation for cyclotron period?

T = 2πR/v= 2πm/qB

What is the equation for cyclotron frequency?

f = qB/2πm

What is the equation for cyclotron angular frequency?

ω = qB/m

What is the equation associated with the Compton effect?

What is the equation for current and what do each of the symbols mean?

v is the drift velocity of the charges, A is the are aof the cross section of the wire, L is the length of the wire, n is teh number of charges per unit volume

What is the equation for current density or current flux?

What is the equation for the Lorentz force for a line segment in the direction Î?

What is the equation for the magnetic dipole moment?

m  = IA

What is the equation for torque for a magnetic dipole moment?

What is the equation for flux through a surface?

What is the equation for electric flux if A is a vector representing the surface whose magnitude is equal to the area and direction is given by the normal to the surface?

What is the equation for the integral used to find the electric flux?

What is the equation for total flux through a closed surface?

What is Stefan’s Law?

P = σAεT⁴

What is the Rayleigh-Jeans result?

What is the Planck formula for the intensity distribution as a function of wavelength?

What is the Rydberg-Ritz formula?

What is the equation for the energy of an electron according to the Rutherford model of the hydrogen atom?

What is the equation for the magnetic dipole moment on a coil with N turns?

magnetic dipole moment = NIA

What is the equation for the energy of a magnetic dipole in a magnetic field?

If the field is just in one direction, what is direction of the force and what is it given by?

It is along the direction of the field gradient

What are the two equations for change in potential difference?

ΔV=ΔU/q

ΔV=-EΔx

What is the equation for change in potential energy of a system for finite displacement from point A to point B?

What is the equation for electrostatic potential of a point charge?

What is the equation for the electric field from potential?

What is the equation for potential energy of a charge q at this point?

What is the equation for total potential energy of the charged sphere?

What is the non-integral form of the Biot-Savart law?

What is the integral form of the Biot-Savart law?

What is the equation for the frequency of the radiation emitted when an electron makes a transition from one stationary state with energy E1 to one with energy E2? (simple answer)

f = (E1-E2)/h

What is the difference in energy given by for an electron moving to an orbit radius r1, energy E1 to a smaller radius r2, energy E2? (Rutherford model)

What is the equation for E1-E2 for an electron jumping from one energy level to another?

What is the frequency of a photon released by an electron moving between orbit r1 and r2?

What is the definition of capacitance?

Q = CV

What is the equation for the potential difference V moving from lower to upper plate?

What is the extended equation for capacitance?

What is the equation for total capacitance for capacitors in parallel?

What is the equation for total capacitance for capacitors in series?

What is the equation for the electrical potential energy stored in the capacitor?

What is the full equation for the force on two parallel current carrying wires?

What is the equation for the field acting along the axis of a loop?

What is the equation for kinetic energy in the de Broglie hypothesis?

What is the equation for L in the image?

What is the equation for the energy density of an electric field?

What is the equation for the capacitance of a parallel plate capacitor containing dielectric material?

k=e_r too dw

What is the equation for Ampere’s Law?

What is the equation for Ampere’s Law, substituting in the integral of the current density?

What is the equation for displacement associated with the wavefunction?

What is the equation for L_n?

What is the equation for the Faraday-Lenz law?

What is the equation for the emf induced in a wire loop?

What is the equation for emf when a loop is rotated about its axis with an angular velocity omega?

What is the equation for magnetic flux for an inductor?

What is the equation for the voltage dropped across an inductor?

What is the general solution for the time varying current?

What is the impedance of an inductor given by?

What is the equation for mutual inductance?

What is the defining equation of charge?

What are the two equations for current density?

What are the two equations for resistance?

What is the equation for the temperature coefficient of resistivity?

What are the two equations for electrical power?

What is the weird equation for resistivity?

What is the TISE?

Inside the potential well, what does the TISE reduce to?

This is because the potential is 0 inside the well

What is the born rule? and what does it mean?

It is the probability of finding a particle between x and x+dx

What is the equation for the wavefunction inside the potential well?

What is the equation for the current produced by an orbiting electron?

What is the equation for the magnetic dipole moment?

Using orbital angular momentum, what does the equation for magnetic dipole moment become?

What is gyromagnetic ratio?

What is the Bohr magneton?

What is the definition equation for the spin dipole moment?

What is the nuclear magneton?

What are the two possible values for Sz?

What is the equation for the current in the external current (involving internal resistance)?

I = E/R+r

What is the equation for the potential drop across a battery with internal resistance r?

V=Ir

What is the terminal voltage of a battery of internal resistance r?

V_t=E-Ir

What is the defining equation for an inductor?

What is the equation for charge when charging the capacitor?

What is the equation for potential difference when charging a capacitor?

V = E(1-e^-t/RC)

What is the equation for current when charging a capacitor?

I = I₀e^-t/RC