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Question:

Resistivity of wire in context of home?

How could you relate greater wire length resulting in greater resistivity to the context of home

Answer:

Greater wire length will certainly give you a higher resistance. Since heat is measured in watts, and watts (W) =I^2R, where I=Current and R= resistance, then if you double the resistance of a wire (by making it twice as long) you also double the ammount of watts lost in the wire. Since watts equates to heat, this ammount of heat will make the wire hotter. If you use an extension lead, and wind it round a drum, it can get very hot indeed.

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