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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
--------------
Case (a)
-------------
Length = L
Area of cross section = A
So,
Resistance = p × L/A [p = resistivity]
Case (b)
-------------
Length = 3L
Area of cross section = A/3
So, Resistance = p × 3L / (A/3)
= 9 (p × L/A)
Case (c)
------------
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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