Speed of Current in a coaxial cable

  • #1
Kyuubi
18
8
Homework Statement
Calculate the inductance and capacitance per unit length of a long coaxial cable, and show that the current, or equivalently charge, wave has speed v =1/√(µ0ϵ0) = c which is the speed of light.
Relevant Equations
Maxwell's equation in a vacuum.
Excuse me for not writing them, I'm not familiar with latex and I think I'll only need a conceptual answer. They should be in the photo though.
I've found the inductance and capacitance per unit length in a long coaxial cable. I even clearly see that if I multiply the two, I can get the speed of light. How do I begin to find the current wave and its speed though?
 

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  • #2
Could you figure out the wave speed in a string of given tension and density? Maybe you could then use the same approach to model a wave in coax and find analogous equations using capacitance and inductance.
 
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