ECE 1270 Introduction to Electric Circuits 0 Lecture

ECE 1270: Introduction to Electric Circuits 0 Lecture 18: Phasors Chapter 9: Sinusoidal Steady. State Analysis Section 9. 3, 9. 4 ECE 1270 Introduction to Electric Circuits Suketu Naik

Representation of Complex Numbers 1 Rectangular Form (real and imaginary) Imaginary Polar Form (magnitude and phase) Real Exponential Form ECE 1270 Introduction to Electric Circuits Suketu Naik

Phasors 2 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 ECE 1270 Introduction to Electric Circuits Suketu Naik

Phasors: Addition, Subtraction, Multiplication, and Division 3 Amplitude and Phase Complex Conjugate Addition Subtraction Multiplication Division ECE 1270 Introduction to Electric Circuits Suketu Naik

Phasors 4 Note that Vm is the amplitude and φ is the phase ECE 1270 Introduction to Electric Circuits Suketu Naik

Example 9. 5: Hard Way 5 Problem Solution ECE 1270 Introduction to Electric Circuits Suketu Naik

Example 9. 5: Easy Way 6 Problem Solution Use Phasors ECE 1270 Introduction to Electric Circuits Suketu Naik

AP 9. 1, AP 9. 2 ECE 1270 Introduction to Electric Circuits 7 Suketu Naik

Phasor Notation for Resistor ECE 1270 Introduction to Electric Circuits 8 Suketu Naik

Phasor Notation for Inductor 9 +90° phase shift (voltage shifts to the left by 90 °) or Voltage leads Current by 90° in an Inductor How to verify in Multisim 1) Transient 2) AC Sweep ECE 1270 Introduction to Electric Circuits Suketu Naik

Phasor Notation for Capacitor 10 -90° phase shift (voltage shifts to the right by 90 °) or Voltage lags Current by 90° in a Capacitor How to verify in Multisim 1) Transient 2) AC Sweep ECE 1270 Introduction to Electric Circuits Suketu Naik

Impedance and Reactance ECE 1270 Introduction to Electric Circuits 11 Suketu Naik

AP 9. 3, AP 9. 4 ECE 1270 Introduction to Electric Circuits 12 Suketu Naik