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resistivity=1.6*10⁻⁸m
resistance=10 ohm(R₁)
diameter=0.5 mm
radius=0.25mm=0.00025m=0.25*10⁻³m
area= πr²=3.14 × (0.0025)²=0.000000019625m²=0.19625*10⁻⁷m²
NOW,
10=1.6*10⁻⁸ * l/0.196*10⁻⁷
10* 0.196*10⁻⁷/1.6*10⁻⁸ =l
122.72m= l
IF DIAMETER IS DOUBLED,NEW RADIUS=0.5mm=0.5*10⁻³m
area=0.785*10⁻⁶m²
R₂= 1.6*10⁻⁸*122.72/0.785*10⁻⁶
R₂=2.5 ohm
R₂/R₁=2.5/10
R₂/R₁=1/4
R₂=1/4 R₁
Explanation:
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