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 the capacitance...

Extracted text: 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 the 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.