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MT48LC4M32B2B5-6
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SI fundamentals and STM32 signals AN4803
6/25 DocID028793 Rev 1
The signals on a transmission line will travel at a speed that depends on the surrounding
medium. The propagation delay is the inverse of propagation velocity.
Equation1:
Equation 2:
Where:
v: propagation velocity, in meters/second
c: speed of light in a vacuum (3 × 10
8
m/s)
ε
r
: dielectric constant
TD: time delay for a signal to propagate down a transmission line of length x
The propagation delay can also be determined from the equivalent circuit model of the
transmission line:
Equation 3:
Where:
TD: is the time delay for a signal to propagate down a transmission line of length x
L: is the total series inductance for the length of the line
C: is the total shunt capacitance for the length of the line.
The propagation delay is about 3.5 ps/mm in air where the dielectric constant is 1.0. In FR-
4 PCBs, the propagation delay is about 7 to 7.5 ps/mm and the dielectric constant is 3.9 to
4.5.
The PCB traces act as transmission lines when the line delay is equal to or greater than 1/6
the rise (or fall) time.
The critical length equals 1/6 of the transition electrical length, and the transition
electrical length equals to the rise (or fall) times x1/(propagation delay).
Example: For a 2 nanosecond rise time the critical length is 47.6 mm.
v
c
ε
r
--------=
TD
ε
r
c
--------=
TD LC=

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