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  1. Draw a phasor diagram for the following circuit. Apply KVL graphically. That is, add the individual component phasors together graphically to show that the result is equal to the source voltage …

  2. Properties: Translation Translating a function leaves the magnitude unchanged and adds a constant to the phase. If then f2 = f1(t- a) F1 = F(fi) F2 = F(f2) |F2| = |F1| ¢(F2) = ¢(Fi)-2Tua …

  3. Advantages of three-phase power: For a given amount of power, half the amount of wire required compared to single-phase No return current on neutral conductor Constant real power …

  4. Generally, the PLL is designed to have a stable lock point with a π/2 phase offset - π/2 is a metastable lock point because it is in a positive feedback operation range

  5. In magnitude and phase plots, as ω goes through a zero on the unit circle, the magnitude will go to zero and the phase will flip by π, as shown in the figure below.

  6. Identify circuit impedances, voltages and currents using the double subscript notation. Perform calculations on wye connected three-phase sources and loads. Perform calculations on delta …

  7. Phase Shifters are a critical component in many RF and Microwave systems. Applications include controlling the relative phase of each element in a phase array antenna in a RADAR or …