Math, asked by rahul0067, 11 months ago

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Answered by ArchitectSethRollins
4
Hi friend
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Case (a)
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Length = L

Area of cross section = A

So,

Resistance = p × L/A [p = resistivity]

Case (b)
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Length = 3L

Area of cross section = A/3

So, Resistance = p × 3L / (A/3)

= 9 (p × L/A)

Case (c)
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Length = L/3

Area of cross section =3A

Resistance = p × (L/3) / 3A

= 1/9 × (p × L/A)

So, comparison of their resistances : -

Resistance of (c) < Resistance of (a) < Resistance of (b)

● Resistivity of all three resistors are SAME , because all are 'copper' conductors as resistivity depends only on nature of material & temperature (not on length & area of cross section) .

HOPE IT HELPS
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