Impedances of π-type circuit of transmission line¶
The π-type circuit consists of the first impedance connected in parallel, the third impedance connected in series, and the second impedance connected in parallel. For a transmission line, these impedances can be calculated for an equivalent replacement circuit by knowing the transmission line parameters.
- first_impedance¶
First
electrical_impedance
.
- Symbol:
Z_1
- Latex:
- Dimension:
impedance
- second_impedance¶
Second
electrical_impedance
.
- Symbol:
Z_2
- Latex:
- Dimension:
impedance
- third_impedance¶
Third
electrical_impedance
.
- Symbol:
Z_3
- Latex:
- Dimension:
impedance
- surge_impedance¶
surge_impedance
of the transmission line.
- Symbol:
Z_S
- Latex:
- Dimension:
impedance
- Symbol:
l
- Latex:
- Dimension:
length
- propagation_constant¶
- Symbol:
gamma
- Latex:
- Dimension:
1/length
- law¶
[Z_1, Z_2, Z_3] = [Z_S * coth(l * gamma / 2), Z_S * coth(l * gamma / 2), Z_S * sinh(l * gamma)]
- Latex: