If the length of wire is stretched to double itself. What change in its resistance?
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● Electricity ●
We know,
Resistance (R) = Resistivity (p) × Length of conductor (l) / Area of cross section (A)
When, length is stretched to double, area will half of its previous becoz volume remains constant.
New length = 2 × l = 2l
& new area = A/2
So,
R = p × 2l/A/2
=> R = 4(p × l/A)
Therefore, when length is double, resistance will become 4times more of previous value.
We know,
Resistance (R) = Resistivity (p) × Length of conductor (l) / Area of cross section (A)
When, length is stretched to double, area will half of its previous becoz volume remains constant.
New length = 2 × l = 2l
& new area = A/2
So,
R = p × 2l/A/2
=> R = 4(p × l/A)
Therefore, when length is double, resistance will become 4times more of previous value.
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