Electrical Engineering › Section I · Sinusoidal waveforms and phasors › Topic I.5

Response of R, L, and C to sinusoids

Drive a resistor, an inductor or a capacitor with a sinusoid and the result is always a sinusoid of the same frequency, but each element sets its own ratio of voltage to current and its own phase shift. Those two facts, worked out here from the derivative, are the foundation of all ac circuit analysis.

In this topic

  • Three elements, three behaviours
  • The derivative of a sinusoid
  • The resistor
  • The inductor
  • Worked example: an inductor on 60 Hz
  • The capacitor
  • Worked example: a capacitor at 1000 rad/s
  • Reactance is not resistance
  • Worked example: naming the element
  • Common mistakes to avoid
  • Key takeaways

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