Theory of Intelligence
11TH•Mathematics•Complex Numbers•Exercise 1.5

Theory

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Theory

  • Ohm's law (phasors): V=IZV=IZ.
  • In polar form, division subtracts angles:
r1(cos⁡θ1+isin⁡θ1)r2(cos⁡θ2+isin⁡θ2)=r1r2(cos⁡(θ1−θ2)+isin⁡(θ1−θ2))\frac{r_1(\cos\theta_1+i\sin\theta_1)}{r_2(\cos\theta_2+i\sin\theta_2)} =\frac{r_1}{r_2}\left(\cos(\theta_1-\theta_2)+i\sin(\theta_1-\theta_2)\right)

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