Advanced physics – AC circuits, medical imaging, quantum physics

PhysicsQuantum & Nuclear PhysicsAges 17–18

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Three physics topics in one simulation, chosen with the topic parameter. Alternating current: a series R, L, C circuit with out-of-phase u and i graphs, a phasor diagram, and the resonance curve of I versus frequency. Physics in medical diagnosis: an X-ray beam passing through soft tissue and bone to form a radiograph following the absorption law I = I₀e^(−μx), or an ultrasound pulse reflecting at a boundary to measure depth. Quantum physics: light of a chosen wavelength shines on a metal, showing whether the photoelectric effect occurs and the maximum initial kinetic energy of the ejected electrons.

Lesson: Alternating current; physics in medical diagnosis; quantum physics

What it shows

Three topics from applied and modern physics are modelled side by side. The AC topic is a series RLC circuit: inductive reactance ωL rises and capacitive reactance 1/(ωC) falls with frequency, and at f₀ = 1/(2π√(LC)) they cancel, so the impedance equals R and the current peaks in phase with the voltage. The medical topic applies exponential X-ray absorption, I = I₀e^(−μx), and ultrasound echo timing, t = 2d/v. The quantum topic shows the photoelectric effect: electrons are emitted only if the photon energy hc/λ exceeds the work function of the metal.

How to use

Pick a topic with the tabs. In Alternating current, drag across the graph to change the frequency while watching the phasor diagram and the I–f curve, then press Set to resonance frequency; change Circuit resistance R to compare peak shapes. In Medical diagnosis, use Switch to ultrasound and Switch to X-ray to compare the two methods. In Quantum physics, drag to change the wavelength and press Change metal to compare potassium, zinc and silver.

Parameters you can change

  • Current topic 1. Alternating current (RLC circuit), 2. Physics in medical diagnosis, 3. Quantum physics (photoelectric effect)
  • AC frequency 10–200 Hz
  • Circuit resistance R 5–200 Ω
  • Diagnostic method X-ray imaging (X-ray absorption), Ultrasound (sound wave reflection)
  • Wavelength of light shone on the metal 200–700 nm
  • Cathode metal Potassium (work function 2.25 eV), Zinc (work function 3.55 eV), Silver (work function 4.78 eV)

Questions to explore

  1. At the resonance frequency, what is the phase difference between u and i, and why is the current largest?
  2. How does increasing R change the height and sharpness of the peak on the I–f graph?
  3. For 400 nm light, which of potassium, zinc and silver emit electrons, and what is each threshold wavelength?