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Question:

What size copper wire to get equivalent resistance as aluminum?

What diameter must a copper wire have if its resistance is to be the same as that of an equal length of aluminum wire with diameter 3.26mm?

Answer:

It is very common in older homes to have tin coated copper wiring which many people then think they have aluminum wiring. If you have a piece of the older wiring or can turn the breaker off to one of these wires use a screw driver to scrape at the wire on the bare end; if it's tin coated copper you will see the orange/rust color of copper after a few light scrapes, the scaping is nothing agressive. This will determine if you have aluminum or not. Someone else mentioned about a loose connection which if a copper wire aluminum wire are connected together it would very likely fail creating a short. The two different materials expand contract at different rates which creates a bad connection. There is a special crimp process that can be done to join the two but a electrician should definately do this. A lot of the older homes just have two many items all on one breaker. With what you've described I would suggest using a electrician. Additional: If no breakers are tripped off and you do not have power in some areas you might have another panel (sub-panel) somewhere else in the home OR this circuit is hooked up to a GFI outlet somewhere else such as the kitchen, bathroom or garage. I would physically re-check each breaker and then hunt for a GFI outlet and sub-panel.
aluminum wire with diameter 3.26mm Resistance of a wire R = ρL/A ρ is resistivity of the material L is length in meters A is cross-sectional area in m? A = πr? resistivity Cu 17.2 (nΩ-m) resistivity Al 28.2 (nΩ-m) 1 = Al 2 = Cu ρ1L1/A1 = ρ2L2/A2 lengths are the same ρ1/A1 = ρ2/A2 ρ1/ρ2 = A1/A2 28.2/17.2 = π(1.68)?/πr? 28.2/17.2 = (1.68)?/r? r? = (1.68)?17.2/28.2 r? = 1.72 r = 1.31 d = 2.62 mm .

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