How?
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The resistance of a wire is given by Ohm's Law and the formula:
R = p(L/A)
Where:
R = Resistance
P = Resistivity of the material (constant for the same material)
L = Length of the wire
A = Cross-sectional area
Explanation:
If the length L of the wire doubles ()
The cross-sectional area A remains the same
New resistance:
R' = p(2L/A)= 2R
Conclusion:
When the length of the wire is doubled while keeping the cross-sectional area constant, the resistance also doubles.
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