Current follows the path of least resistance or shortest path. I just want to prove this or rather reproduce it using calculus of variations. I just want to show it in a fancy way. I want help to form the FUNCTIONAL for it.(adsbygoogle = window.adsbygoogle || []).push({});

Useful equations:

I=dq/dt=nqvA

R=rho*l/A

Where v is drift velocity

Any suggestion (may be using different equations and parameters)?

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# Path of current functional

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