Difference Between Phase Velocity and Group Velocity

Waves can be in the group and such groups are called wave packets, so the velocity with a wave packet travels is called group velocity. The velocity with which the phase of a wave travels is called phase velocity.

1. What is the difference between wave velocity and phase velocity?
2. What is phase velocity formula?
3. In which medium phase velocity and group velocity are equal?
4. Can group velocity exceed phase velocity?
5. What is wave velocity and group velocity?
6. Is wave velocity constant?
7. Is phase velocity greater than C?
8. What is phase velocity in transmission lines?
9. Is group velocity equal to particle velocity?

What is the difference between wave velocity and phase velocity?

Wave velocity, when not otherwise specified, usually means the phase velocity: the rate at which the phase travels in space. ... So if the context implies that the wave is carrying energy, the wave velocity is also the group velocity. In a dispersionless media group and phase velocity are the same.

What is phase velocity formula?

Since each amplitude envelope contains a group of internal waves, this speed is usually called the group velocity, v_g. In a given medium, the frequency is some function ω(k) of the wave number, so in general, the phase velocity v_p = ω/k and the group velocity v_g = dω/dk depend on the frequency and on the medium.

In which medium phase velocity and group velocity are equal?

Dispersion. When these two monochrome waves are propagating in vacuum, they have the same phase velocity c (the speed of light in vacuum), and the superposed wave's phase velocity equals its group velocity(both are c).

Can group velocity exceed phase velocity?

For most substances, therefore, the group velocity is smaller than the phase velocity. In such cases, it is mathematically possible that the group velocity may be larger than the phase velocity.

What is wave velocity and group velocity?

Waves can be in the group and such groups are called wave packets, so the velocity with a wave packet travels is called group velocity. The velocity with which the phase of a wave travels is called phase velocity. The relation between group velocity and phase velocity are proportionate.

Is wave velocity constant?

The velocity of the wave, v, is a constant determined by the properties of the medium in which the wave is moving as we saw above. The velocity is a vector which gives the forward speed of the wave and the direction the wave is traveling.

Is phase velocity greater than C?

Remember that the phase velocity is just the apparent speed at which the humps of wave appear to travel. ... Since the phase velocity is = lambda x f and f is the same then the guided phase velocity is greater than the free space wave velocity C, the speed of light.

What is phase velocity in transmission lines?

Phase velocity is the propagation velocity of an equiphase wave surface of a single sinusoidal wave along a transmission line, and group velocity is the propagation velocity of the envelope of two sinusoidal waves with a slight difference in frequency superimposed.

Is group velocity equal to particle velocity?

But it has been shown that the particle velocity is equal to the group velocity of the wave associated with it.