ECE 1270: Introduction to Electric Circuits

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Presentation transcript:

ECE 1270: Introduction to Electric Circuits Lecture 19: Kirchoff's Laws (Revisited) Chapter 9: Sinusoidal Steady-State Analysis Section 9.5

Phasors Phasor Transform or Phasor Representation 1) A phasor is a complex number that represents the amplitude and phase of a sinusoid 2) Phasors provide a simple means of analyzing linear circuits excited by sinusoidal sources

Frequency Domain Representation for Inductor and Capacitor 1) A Capacitor will create -90 deg phase shift (waveform shifted by 90 deg to the right) 2) An Inductor will create +90 deg phase shift (waveform shifted 90 deg to the left)

Frequency Domain Representation for Inductor and Capacitor Let's plot impedance of an Inductor and Capacitor Use Matlab or Graphic Calculator or Multisim or LTSpice What happens to the impedance of inductor and capacitor at low and high frequencies?

Example 9.6

AP 9.7 In Class Plot in Matlab or Multisim and look for imag(Zab)=0

Problem 9.22 Find Zab

Significance of Impedance Impedance in a circuit: either inductor or capacitor or both Impedance, Z is a complex number in frequency domain magnitude (amplitude) & phase or real & imaginary Magnitude gives us scaling factor between voltage and current Phase tells us by how many degrees voltage will lead/lag current Zero phase=zero imaginary part=no phase shift=resistive Power When current passes through resistor, power is always absorbed or lost When current passes through impedance, power is not necessarily lost: it is simply delayed or stored Power is resonated: it bounces back and forth without being absorbed number

Problem 9.24 (AC Sweep plot in Multisim) (a) Find ω (angular frequency in rad/s) at which Zab is purely resistive (b) Find the value of Zab at this frequency