2.) Electric current in a long, insulated cable: Suppose we have an insulated wire with current i i(x, t) and voltage E = E(x, t). Let R be the resistance, L be the inductance, C be th capacitance and G be the conductance (or leakage), all per unit length and all constant, of the wire. It can be shown that both i and E satisfy the telegraph equation: Ux = LCu + (RC + LG)u, + RGu. If we may neglect L and G, we see that i and E can be simplified to: Ux = RCu, Derive the simple implicit finite difference parabolic equation for the simplified telegraph equation and explain the derivation steps.

2.) Electric current in a long, insulated cable: Suppose we have an insulated wire with current i i(x, t) and voltage E = E(x, t). Let R be the resistance, L be the inductance, C be th capacitance and G be the conductance (or leakage), all per unit length and all constant, of the wire. It can be shown that both i and E satisfy the telegraph equation: Ux = LCu + (RC + LG)u, + RGu. If we may neglect L and G, we see that i and E can be simplified to: Ux = RCu, Derive the simple implicit finite difference parabolic equation for the simplified telegraph equation and explain the derivation steps.

Power System Analysis and Design (MindTap Course List)

6th Edition

ISBN:9781305632134

Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Chapter4: Transmission Line Parameters

Section: Chapter Questions

Problem 4.17P: Determine the GMR of each of the unconventional stranded conductors shown in Figure 4.30. All...

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