The resistance of a certain length of wire having diameter 5 mm is 10 Ohms If diameter is changed to 10mm the new resistance will become
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Resistance of a resistor is given by
R = ρl/A
Where ρ - resistivity of the conductor
l - length of the resistor
A - cross-section Area of the conductor
A = πr^2
r - radius of the cross section area
Resistance is inversely proportional to the cross-section Area 'A'
If r = 2.5mm becomes r' = 5mm the new area becomes 4 times initial area
A' = 4A
R' = ρl/A' = ρl/4A = R/4 = 10ohms/4
R' = 2.5ohms
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