if the length of a resistor is changed from 10cm to 40cm,What happens to the resistance?Old length=10cm,Old resistance=6ohm?
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their resistance also changed 6ohm to 24ohm
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Resistance = ρl/A
Where, ρ = resistivity of wire
l = Length of wite
A = Area of cross section of wire
So, If we change Length by 4 times then Length will be 4 times and resistivity and Area of cross section will not be affected.
So, New resistance = ρ(4l)/A
New resistance = 4 × ( ρl/A)
New resistance = 4 × Resitance
New resistance = 4 × 6
New resistance = 24 ohm
Therefore, Resitance will be 24 ohm when Length is changed to 40cm.
Hope it helps.......✌
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