1. Superposition of Waves

2. Superposition of water waves

3. Electric field of electromagnetic wave by dipole oscillator

4. e0 : permitivity of free space
m0: permeability of free space
Maxwell’s wave equation in free space

5. PRINCIPLE OF SUPERPOSITION
The resultant disturbance of any point in a medium is the
algebraic sum of the separate constituent waves.
‘s are solution of linear differential wave equation

6. Wave Superposition © 1997-2006 Edward A. Zobel

7. Addition of wave of same frequency
Algebraic method
Complex method
Phasor addition

8. Algebraic method of Addition

10. where,

11. The composite wave is (ii) of same frequency as that of constituents
(i) harmonic
(ii) of same frequency as that of constituents
(iii) of different amplitude and phase from
that of constituents

12. For

13. Flux density

14. The phase difference between two interfering waves

15. Superposition of many waves

17. Complex method of Addition

18. Resultant of N waves

19. Complex amplitude of the resultant wave

20. For N=2

21. Phasor Addition of Waves

22. Argand Diagram
Representation of a complex number in terms of real and imaginary
components In
Complex plane
A Sin wt
A Cos wt Re

23. Rotating Arrow + Associated Phase Angle = Phasor

24. Addition of two phasor
Resultant

26. Addition of three phasor

30. Find A and f

31. Problem
Superposition of large number of phasors of equal amplitude a and equal successive phase difference f. Find the resultant phasor.

37. Summary The composite wave is
(i) harmonic
(ii) of same frequency as that of constituents
(iii) of different amplitude and phase from
that of constituents