An unknown length of copper wire and a 1.00-meter-long silver wire have the same cross-sectional area and resistance at 20°C. Calculate the length of the copper wire.

The length of the copper wire is 0.946 m.

Explanation:

Resistance ;

is the resistivity of the wire, is the length of the wire and A is the cross section area of the wire.

The magnitude of resistivity of copper wire is 1.68×10⁻⁸Ωm.

The magnitude of resistivity of silver wire is 1.59×10⁻⁸Ωm.

The length of silver wire is 1.00 m

The resistance of the copper wire is

The resistance of the silver wire is

Given that,

,

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m

The length of the copper wire is 0.946 m.

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