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The principle of superposition The resultant displacement at any point is the sum of the s displacements due to the two waves Eg: with a slinky co

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Page 1: The principle of superposition The resultant displacement at any point is the sum of the separate displacements due to the two waves Eg: with a slinky

The principle of superposition

The resultant displacement at any point is the sum of the separate displacements due to the two waves Eg: with a slinky coil spring

Page 2: The principle of superposition The resultant displacement at any point is the sum of the separate displacements due to the two waves Eg: with a slinky

The principle of superposition

The resultant displacement at any point is the sum of the separate displacements due to the two waves Eg: with a slinky coil spring

Page 3: The principle of superposition The resultant displacement at any point is the sum of the separate displacements due to the two waves Eg: with a slinky

supercrest

The principle of superposition

The resultant displacement at any point is the sum of the separate displacements due to the two waves Eg: with a slinky coil spring

Page 4: The principle of superposition The resultant displacement at any point is the sum of the separate displacements due to the two waves Eg: with a slinky

supercrest

The principle of superposition

The resultant displacement at any point is the sum of the separate displacements due to the two waves Eg: with a slinky coil spring

Page 5: The principle of superposition The resultant displacement at any point is the sum of the separate displacements due to the two waves Eg: with a slinky

Two square waves superposing:

Page 6: The principle of superposition The resultant displacement at any point is the sum of the separate displacements due to the two waves Eg: with a slinky

Two square waves superposing:

Page 7: The principle of superposition The resultant displacement at any point is the sum of the separate displacements due to the two waves Eg: with a slinky

Two square waves superposing:

Page 8: The principle of superposition The resultant displacement at any point is the sum of the separate displacements due to the two waves Eg: with a slinky

Superposition of sine waves:

Page 9: The principle of superposition The resultant displacement at any point is the sum of the separate displacements due to the two waves Eg: with a slinky

Superposition of sine waves:

Page 10: The principle of superposition The resultant displacement at any point is the sum of the separate displacements due to the two waves Eg: with a slinky

Superposition of sine waves:

A square wave can be made up from several sine waves

of higher frequencies

Page 11: The principle of superposition The resultant displacement at any point is the sum of the separate displacements due to the two waves Eg: with a slinky

Phase changes on reflection

LONGITUDINAL PULSE TRANSVERSE PULSE

Page 12: The principle of superposition The resultant displacement at any point is the sum of the separate displacements due to the two waves Eg: with a slinky

Phase changes on reflection

LONGITUDINAL PULSE TRANSVERSE PULSE

Page 13: The principle of superposition The resultant displacement at any point is the sum of the separate displacements due to the two waves Eg: with a slinky

Phase changes on reflection

LONGITUDINAL PULSE TRANSVERSE PULSE

Page 14: The principle of superposition The resultant displacement at any point is the sum of the separate displacements due to the two waves Eg: with a slinky

Phase changes on reflection

LONGITUDINAL PULSE TRANSVERSE PULSE

Page 15: The principle of superposition The resultant displacement at any point is the sum of the separate displacements due to the two waves Eg: with a slinky

Interference effects

Two dippers in a ripple tank can cause circular wavefronts to re-inforce or cancel:

Re-inforcement(constructive interference)

Cancellation(destructive interference)

Page 16: The principle of superposition The resultant displacement at any point is the sum of the separate displacements due to the two waves Eg: with a slinky

Interference effects

Two dippers in a ripple tank can cause circular wavefronts to re-inforce or cancel:

Re-inforcement(constructive interference)

Cancellation(destructive interference)

Coherent sources (of the same frequency and phase relationship) produce a stable interference pattern.

Page 17: The principle of superposition The resultant displacement at any point is the sum of the separate displacements due to the two waves Eg: with a slinky
Page 18: The principle of superposition The resultant displacement at any point is the sum of the separate displacements due to the two waves Eg: with a slinky

Experiments with microwaves:

a) The intensity of the receiver signal decreases with distance from the transmitter.

x

x

Signal strength

Page 19: The principle of superposition The resultant displacement at any point is the sum of the separate displacements due to the two waves Eg: with a slinky

Experiments with microwaves:a) The intensity of the receiver signal decreases with distance from the transmitter.b) Microwaves are reflected off metal plates – similar to light on a mirror.

x

x

Signal strength

Page 20: The principle of superposition The resultant displacement at any point is the sum of the separate displacements due to the two waves Eg: with a slinky

Experiments with microwaves:a) The intensity of the receiver signal decreases with distance from the transmitter.b) Microwaves are reflected off metal plates – similar to light on a mirror.c) Diffraction occurs at each slit (slit width is of similar magnitude to the wavelength)

x

x

Signal strength

Page 21: The principle of superposition The resultant displacement at any point is the sum of the separate displacements due to the two waves Eg: with a slinky

Experiments with microwaves:a) The intensity of the receiver signal decreases with distance from the transmitter.b) Microwaves are reflected off metal plates – similar to light on a mirror.c) Diffraction occurs at each slit (slit width is of similar magnitude to the wavelength)d) An interference pattern forms with regions of constructive and destructive interference

Regions of reinforcement

Page 22: The principle of superposition The resultant displacement at any point is the sum of the separate displacements due to the two waves Eg: with a slinky

Experiments with microwaves:a) The intensity of the receiver signal decreases with distance from the transmitter.b) Microwaves are reflected off metal plates – similar to light on a mirror.c) Diffraction occurs at each slit (slit width is of similar magnitude to the wavelength)d) An interference pattern forms with regions of constructive and destructive interference

Regions of reinforcement

Page 23: The principle of superposition The resultant displacement at any point is the sum of the separate displacements due to the two waves Eg: with a slinky

Experiments with microwaves:a) The intensity of the receiver signal decreases with distance from the transmitter.b) Microwaves are reflected off metal plates – similar to light on a mirror.c) Diffraction occurs at each slit (slit width is of similar magnitude to the wavelength)d) An interference pattern forms with regions of constructive and destructive interference

Regions of reinforcement

Regions of cancellation

Page 24: The principle of superposition The resultant displacement at any point is the sum of the separate displacements due to the two waves Eg: with a slinky

compressions

rarefaction

Two loud speakers emitting the same note can cause loud and quiet areas in front

of the speakers

Page 25: The principle of superposition The resultant displacement at any point is the sum of the separate displacements due to the two waves Eg: with a slinky

compressions

rarefaction

Regions of reinforcement (LOUD)

Two loud speakers emitting the same note can cause loud and quiet areas in front

of the speakers

Page 26: The principle of superposition The resultant displacement at any point is the sum of the separate displacements due to the two waves Eg: with a slinky

compressions

rarefaction

Regions of reinforcement (LOUD)

Regions of cancellation (QUIET)

Two loud speakers emitting the same note can cause loud and quiet areas in front

of the speakers

When compressions (or rarefactions)

arrive in phase from both speakers,

constructive interference occurs,

creating a loud region

Page 27: The principle of superposition The resultant displacement at any point is the sum of the separate displacements due to the two waves Eg: with a slinky
Page 28: The principle of superposition The resultant displacement at any point is the sum of the separate displacements due to the two waves Eg: with a slinky