Propagation constant Formula with Examples

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*10-2and 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*10-2and 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

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