Final answer:
The primary parameters of a transmission line can be determined using the characteristic impedance and propagation constant. The primary parameters include resistance, inductance, capacitance, and conductance. Formulas are provided to calculate these parameters using the given values.
Step-by-step explanation:
The primary parameters of a transmission line can be determined using the characteristic impedance and propagation constant.
1. The primary parameters are as follows:
- Resistance (R): The real part of the characteristic impedance, which is the ratio of the voltage and current at any point on the transmission line.
- Inductance (L): The imaginary part of the characteristic impedance, which represents the self-inductance of the transmission line.
- Capacitance (C): The imaginary part of the characteristic impedance, which represents the self-capacitance of the transmission line.
- Conductance (G): The real part of the characteristic impedance, which represents the leakage conductance of the transmission line.
2. To determine the primary parameters, we can use the following formulas:
- R = Z * cos(φ) where Z is the characteristic impedance and φ is the phase angle of the propagation constant.
- G = Z * sin(φ) where Z is the characteristic impedance and φ is the phase angle of the propagation constant.
- L = (1/γ) * tan(φ) where γ is the propagation constant and φ is the phase angle of the propagation constant.
- C = (1/γ) * cot(φ) where γ is the propagation constant and φ is the phase angle of the propagation constant.
3. Substituting the given values, we can calculate the primary parameters:
- R = 20000 * cos(85°)
- G = 20000 * sin(85°)
- L = (1/0.05) * tan(85°)
- C = (1/0.05) * cot(85°)
Calculating these values will give us the primary parameters of the transmission line.