The inductance per meter of a single-phase, two-wire transmission line is given by the equation;
L=(mu _(0))/(pi )[(1)/(4)+ln((D)/(r))]
Where;
able[[L,=,Inductance in henrys per meter of line],[mu _(0),=,Permeability of free space],[,=,4pi imes 10^(-7)(H)/(m)
1. The inductance per meter of a single-phase, two-wire transmission line is given by the equation; =[+1n(] Where; L Inductance in henrys per meter of line o = Permeability of free space = 4 X 10-7H/m D = Distance between the two conductors r = Radius of each conductor
a) Write a function that calculates the total inductance of a transmission line as a function of its length in kilometers, the spacing between the two conductors, and the diameter of each conductor. You can choose any name you like for the function. b Show how you will use this function to calculate the inductance of a 120-km transmission line with conductors of radius r = 2.5cm and distance D = 2.0 m. c) Based on the given equation, would the inductance of a transmission line increase or decrease if the diameter of its conductors increases? How much would the inductance of the line change if the diameter of each conductor is doubled? [Write the MATLAB code with which you arrived at your answers].
2. The capacitance per meter of a single-phase, two-wire transmission line is given by the equation; Ogn
Where; c Eo
= = = = =
Capacitance in farads per meter of line Permittivity of free space 4 x 10-7F/m Distance between the two conductors Radius of each conductor
D r
a) Write a function that calculates the total capacitance of a transmission line as a function of its length in kilometers, the spacing between the two conductors, and the diameter of each conductor. b Use this function to calculate the capacitance of a 120-km transmission line with conductors of radius r = 2.5 cm and distance D = 2.0 m c) Based on the given equation, what happens to the capacitance of a transmission line as the distance between the two conductors increases? [Show the MATLAB code with which you arrived at your answers].
