Honors Physics Concept Force due to electric charges Electric fieldpoint charge Electric Potential Energy (point charges) Electric Potential Energy (uniform field) Potential difference (voltage) Charge Equations FE = kc∙q1∙q2/r 2 E = kc ∙q/r2 Newtons, kc = 8.99x109 N∙m2/C2 Force divided by q (charge) Newton/Coulomb N/C PE = kc∙q1∙q2/r Force divided by r (distance) Joules PE = -q∙E∙d E = field, d = distance from q Joules ∆V = - E∙d Potential Energy divided by q Volts charge of electron = 1.60x10-19 C Coulomb: C, μC q or Q Ohm: Ω, mΩ, kΩ Resistance R Current I = q/t Voltage V = I∙R I = V/R Power P = I∙V P = I2∙R Cost of Energy Series Resistance Parallel Resistance Name ______________________ Units $ = kW∙h x hours Amps: A, mA R = V/I Watts: W, kW, MW energy = power x time (kW∙h) Cost = $/kW∙h Req = R1 + R2 + R3… 1/Req = 1/R1 + 1/R2 + 1/R3 Volts: V, mV, kV Ohm, Ω be sure to calculate inverse R = Ohm, Ω Series current limited by sum of resistors same current everywhere Parallel current sum of currents in each path each path has its own current complex circuits reduce resistors in groups look for ‘clean’ series or ‘clean’ parallel Force of magnetism on a charge F = B∙q∙v B = mag field, q = charge, v = speed Newtons Force of magnetism on a wire F = B∙I∙l I = current, l = length of wire Newtons right hand rule: thumb in direction of motion transformers (induction) V1/V2 = N1/N2 Longitudinal Waves Transverse Waves Simple Harmonic Motion fingers in direction of field V = voltage N = # of turns force on pos. particle out of palm 1 = primary 2 = secondary disturbance parallel to direction of wave-energy travel disturbance perpendicular to direction of wave-energy travel restoring force is proportional to distance from equilibrium T = Period of one cycle pendulum, mass on a spring Wave speed (including sound) Medium v = f ∙λ f = frequency; λ = wavelength material that transmits the energy of a mechanical wave Harmonics multiples of a pitch Resonance matching a natural frequency can cause wild vibration Doppler Effect frequency shift due to motion approaching – higher pitch Intensity of sound I = P / 4πr2 P = power; r = radius Interference of any waves constructive, destructive interference patterns refraction of Light Index of refraction n = c/v c = speed of light; v = speed in medium reflection of Light Θ in = Θ out Lenses & mirrors Focal point, focal length Lenses Electromagnetic Spectrum Electromagnetic Spectrum Wave-particle duality Quantum Energy (energy of one photon) deBroglie wavelength speed of sound = 340 m/s in air ½ wavelengths matter for resonance leaving – lower pitch W/m2 or decibel scale ½ wavelengths matter Ray diagrams Converging lens can be used 6 ways, depending on position of object compared to focal length frequencies from Radio to gamma rays radio = 108 Hz gamma = 1020 Hz wavelengths from long to very small (10-12m) photons exhibit wave and particle characteristics E = h ∙f λ = h / m∙v interference = wave h = Planck’s constant= 6.63x10-34 J∙s m∙v = momentum of the object Energy of a photon given in eV photoelectric effect = particle electronVolts: eV see page 466 de Broglie wavelength: the wavelength of a life-sized object is extremely small and cannot be observed, but the wavelength of an electron can be observed and is used in Scanning Electron Microscopes. Electrons (and photons) exhibit particle and wave behavior.