202301301203

30/01/23 12:03:28

@py7002 @DMCC @lecture

Phasors

• Maths that we need to describe AC circuits.
• Kirchoff’s laws don’t really apply, addition must be done with vectors.
• $\omega =\frac{2\pi }{T};\text{omegat}=2\pi \frac{t}{T}$
  • So $\text{omegat}$ represents a fraction of the voltage oscillation at a given time.
• Linear system: applied volatge, get current of the same frequency.
• Reactive load: some energy being given to field, not necessarily all to the load. Non zero phase difference between voltage and current.
• Phase shift/Epsilon, or whats leading, is the impedance of the circuit.
• Exponential representation makes it easier for addition, subtraction, multiplication and differentiation. Easier to use mathematically.
• Create imaginary axis for notation etc. then take the real part when it’s needed.
  • $v(t)=\text{Real}[V_0{e}^{j(\text{omegat}}]$ the real part
• Converting rectangular to polar requires knowing what quadrant the vector is in.
• Walking through basic trigonometry, like wtf dmc.
• Imaginary axis seems to be handy for vector operations of power supplies.