Section 6
AC and phasors
The sinusoid v(t)=Vp cos(ωt+φ) is the projection of the rotating phasor.
- Sinusoidal steady state; RMS phasors unless a peak is stated.
Computes Angular frequency from the circuit model and the stated conditions.
- Sinusoidal steady state; RMS phasors unless a peak is stated.
The RMS value Vp/√2 is the length of the RMS phasor.
- Sinusoidal steady state; RMS phasors unless a peak is stated.
Computes Average of a rectified sine from the circuit model and the stated conditions.
- Sinusoidal steady state; RMS phasors unless a peak is stated.
Computes RMS phasor from the circuit model and the stated conditions.
- Sinusoidal steady state; RMS phasors unless a peak is stated.
Computes Phasor differentiation from the circuit model and the stated conditions.
- Sinusoidal steady state; RMS phasors unless a peak is stated.
Computes Phasor integration from the circuit model and the stated conditions.
- Sinusoidal steady state; RMS phasors unless a peak is stated.
Z=R+jX is the R and X legs of the impedance triangle.
- Sinusoidal steady state; RMS phasors unless a peak is stated.
Admittance Y=1/Z inverts the magnitude and flips the angle sign.
- Sinusoidal steady state; RMS phasors unless a peak is stated.
Computes Phasor Ohm's law from the circuit model and the stated conditions.
- Sinusoidal steady state; RMS phasors unless a peak is stated.
With Z=R+jX capacitive reactance is negative: X_C=-1/(ωC). The magnitude is |X_C|=1/(ωC) and Z_C=-j/(ωC).
- Sinusoidal steady state; RMS phasors unless a peak is stated.
Computes Inductive reactance from the circuit model and the stated conditions.
- Sinusoidal steady state; RMS phasors unless a peak is stated.
Computes Impedance angle from the circuit model and the stated conditions.
- Sinusoidal steady state; RMS phasors unless a peak is stated.
Computes Phasor sum from the circuit model and the stated conditions.
- Sinusoidal steady state; RMS phasors unless a peak is stated.