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Sahithyan's S1
Sahithyan's S1 — Electrical Fundamentals

Phasor Representation

Phasor (phase vector) is a vector representing a sinusoidal function.

  • Magnitude of the phasor: rms value of the wave
  • Angle of the phasor: The angular position ϕ\phi, with respect to a reference direction

Can also be represented by a complex number. But jj is used as the imaginary unit becasue ii is used for time-varying current.

Representation

  • Polar form: A=AϕA=\lvert{A}\rvert\angle\phi
  • Cartesian or rectangular form: A=Ax+jAyA=A_x+jA_y

Here:

  • A=Arms=Ax2+Ay2\lvert{A}\rvert=A_{\text{rms}}=\sqrt{A_x^2+A_y^2}
  • Ax=AcosϕA_x=\lvert{A}\rvert\cos{\phi}
  • Ay=AsinϕA_y=\lvert{A}\rvert\sin{\phi}
  • j=1j=\sqrt{-1}
  • tanϕ=AyAx\tan{\phi}=\frac{A_y}{A_x}