Acurrent of 0.86 a flows through a copper wire 0.47 mm in diameter when it is connected to a potential difference of 15 v. how long is the wire?

To calculate the length of the wire, we use formulas,

                                      (A)

                               (B)

Here, R is the resistance of the wire, I is the current flows through wire and V is potential difference. A is cross sectional area of wire and is the density of copper wire and is value,.

Given    

Substituting the values of I and V in equation (A ) we get,

Now from equation (B),

Therefore,

Thus the length of the copper wire is 177.9 m.

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