Unformatted text preview: Because of symmetry and convergence we know that the total resistance of an infinite long we know that adding another set to the series will not change the overall resistance. From there we can show that: = 2 + + + 2 = 2 2 + 3 2 - 2 - 2 2 = 0 Using the quadratic equation we get: = + Mathematically solving for each resistor equivalent to one ohm: = . ...
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- Fall '06
- Resistance, Quadratic equation, total resistance, overall resistance