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Sagot :
The resistance would decrease by a factor of 4.
What is the resistance?
We know that the resistance is directly proportional to the length of the wire and inversely proportional to the cross sectional area of the wire.
Thus;
R = ρl/A
R= resistance
ρ = resistivity
l = length
A = area
When we decrease the length by a factor of 4
R2 = ρl/4/A
Then;
R2/R1 = ρl/4/A/ ρl/A
R2/R1 =A/ρl * ρl/4A
R2/R1 = 1/4
Hence, the resistance would decrease by a factor of 4.
Learn more about resistance:https://brainly.com/question/11431009
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