A large spool in an electrician's workshop has 69 m of insulation-coated wire coiled around it. When the electrician connects a battery to the ends of the spooled wire, the resulting current is 2.5 A. Some weeks later, after cutting off various lengths of wire for use in repairs, the electrician finds that the spooled wire carries a 3.7-A current when the same battery is connected to it. What is the length of wire remaining on the spool

46.62m

Explanation:

Given the length of the wire as 69m, current as 2.5A, and as 3.7A after 2 weeks;

Let the initial and final lengths of the wire be expressed as:

Ro is the initial resistance and Rf the final resistance.

From equation, Ro and Rf of the spooled wire are expressed as:

Hence, the  length of wire remaining on the spool is 46.62m

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