Answer :



Resistance of the wire, R=1000Ω

Resistivity of copper, = 1.7 × 10–8 Ω m

Area of cross-section, A=0.01 mm2=0.01×10-6 m2

Formula used,

The expression for the resistance, R, of a wire is

Where ρ is the resistivity, A is the area of cross-section and ‘l’ is the length of the wire.

Or the length of the wire for given area and Area of a cross section is,


Substituting the values in eqn.2, we get the required length as,

Hence the length of the copper wire for the given resistance is 0.6km.

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