## Propagation constant Formula :

Propagation constant formula Γ_{(r/l)} in radians per unit length is equal to the attenuation constant α and addition imaginary part of the propagation constant and multiply the phase constant β_{(r/m)} in radians per meter. Hence the propagation constant formula can be written as,

**Γ _{(r/l)}=α+i*β_{(r/m)}**

Where,

γ → Propagation constant in radians per unit length**.**

α → attenuation constant in dB per unit distance

β→ phase constant in radians/meter

The attenuation constant(α) is the real part of the propagation constant. The phase constant(β) is the imaginary part of the propagation constant

### Example 1:

Calculate the propagation constant if the attenuation constant is 3*10^{-2}and the phase constant is 5*10^{-2}

### Solution :

We have,

α =3*10^{-2}

β=5*10^{-2}

Using the formula we have propagation constant γ=α+iβ

=3*10^{-2}+i(5*10^{-2})

(γ)=0.08

### Example 2:

Calculate the propagation constant if the attenuation constant is 8*10^{-2}and the phase constant is 9*10^{-2}

### Solution :

We have

α =8*10^{-2}

β=9*10^{-2}

Using the formula we have propagation constant γ=α+iβ

=8*10^{-2}+i(9*10^{-2})

(γ)=0.017