Expert-level circuit analysis covering KVL, KCL, nodal and mesh analysis, Thevenin and Norton theorems, AC circuits, phasors, and frequency response.
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KVL: sum of voltages around any closed loop equals zero. KCL: sum of currents entering any node equals zero. Nodal analysis: assign node voltages, write KCL at each node. Mesh analysis: assign mesh currents, write KVL around each mesh. Superposition: response is sum of responses to each source acting alone.
Thevenin: any linear circuit reduces to voltage source in series with resistance. Norton: any linear circuit reduces to current source in parallel with resistance. Thevenin voltage: open circuit voltage at output terminals. Thevenin resistance: resistance seen at terminals with all independent sources zeroed. Maximum power transfer: load resistance equals Thevenin resistance.
Phasors: complex representation of sinusoids, amplitude and phase in one number. Impedance: Z = R + jX, complex resistance for AC circuits. Capacitor impedance: Z = 1 divided by j omega C, decreases with frequency. Inductor impedance: Z = j omega L, increases with frequency. Power factor: cos of phase angle between voltage and current.
Transfer function: ratio of output to input phasor as function of frequency. Bode plot: magnitude and phase of transfer function vs log frequency. Poles and zeros: determine shape of frequency response. Resonance: LC circuit resonant frequency omega = 1 over sqrt of LC. Q factor: quality factor, ratio of resonant frequency to bandwidth.
| Pitfall | Fix |
|---|---|
| Sign errors in KVL | Define current directions and voltage polarities consistently |
| Forgetting reactive power | Use apparent power S = P + jQ for AC systems |
| Wrong Thevenin resistance calculation | Zero independent sources before calculating |
| Ignoring initial conditions in transients | Include capacitor voltages and inductor currents |
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