The resistance of wire is 10 ohm. If it is stretched ten times, the resistance will be
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Given,
The resistance of the wire is 10 Ω.
To Find,
The resistance of the wire if the wire is stretched 10 times.
Solution,
The formula for calculating the resistance of the wire is
R = ρL/A *L/L = ρL²/v
Where ρ is the resistivity and V is the volume.
So,
R∝L²
Now, Wire is strechted 10 times
R' = (10L)² = 100L²
R/R' = L²/100L²
10/R' = 1/100
R' = 1000 Ω
Hence, the resistance of the wire when it is stretched 10 times will be 1000 Ω.
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