Physics / core
Resonators, transmission lines, and fields
Relate lumped circuits to electromagnetic resonators, impedance matching, transmission lines, and measured frequency-dependent response.
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Module 01 core
Resonators, transmission lines, and fields
Relate lumped circuits to electromagnetic resonators, impedance matching, transmission lines, and measured frequency-dependent response.
- 01
Lumped elements and Kirchhoff laws
Identify when fields can be compressed into circuit variables and apply node and loop balances without discarding induction or charge storage.
30 min - 02
RLC transients and resonant response
Distinguish undamped natural frequency, damped ringdown frequency, and response-dependent driven resonance in a series RLC circuit.
30 min - 03
Complex impedance and power factor
Use an explicit RMS phasor convention to calculate impedance, phase, average power, and reactive power without confusing storage with dissipation.
30 min - 04
Coupled resonators and mode splitting
Derive the normal frequencies of two mutually coupled LC loops and distinguish eigenmodes, beating, detuning, and resolvable spectral peaks.
30 min - 05
Transmission-line telegrapher equations
Derive signed voltage-current evolution from a distributed line, obtain propagation speed, and separate attenuation from phase delay.
30 min - 06
Characteristic impedance and reflections
Apply a load boundary condition to forward and backward waves, track voltage and current signs, and compute reflected and delivered power.
30 min - 07
Standing-wave ratio and impedance matching
Connect reflection magnitude to voltage extrema, derive the quarter-wave transformer, and distinguish a match at one frequency from broadband performance.
30 min - 08
Microwave waveguide cutoff
Derive rectangular-guide cutoff from transverse boundary conditions and distinguish propagating TE/TM modes, evanescent fields, and phase/group velocities.
30 min - 09
Cavity quality factor and loss channels
Relate stored energy, independent loss powers, loaded linewidth, and ringdown while distinguishing intrinsic dissipation from deliberate coupling to a port.
30 min - 10
Scattering parameters and network measurements
Define RMS power-normalized port waves, interpret two-port scattering coefficients, and connect calibration, reference planes, and power balance.
30 min