 # Relation Between Phase Difference And Path Difference

The phase difference is the difference in the phase angle of the two waves. Path difference is the difference in the path traversed by the two waves. The relation between phase difference and path difference is direct. They are directly proportional to each other.

## Phase Difference And Path Difference

For any two waves with the same frequency, Phase Difference and Path Difference are related as-

 $$\Delta x=\frac{\lambda }{2\pi }\Delta \phi$$

Where,

• Δx is the path difference between the two waves.
• ΔΦ is the phase difference between two waves.

### Phase Difference And Path Difference Equation

The difference in the phase angle and difference in path length relation can be written in various ways-

 Formula Unit The relation between phase difference and path difference $$\frac{\Delta x}{\lambda }=\frac{\Delta \phi}{2\pi }$$ No units Phase Difference $$\Delta \phi=\frac{2\pi\Delta x}{\lambda }$$ Radian or degree Path Difference $$\Delta x=\frac{\lambda }{2\pi }\Delta \phi$$ meter

Hope you understood the relation and conversion of Phase Difference and Path Difference of the wave.

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