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Q.6. A copper wire has diameter 0.5 mm and resistivity of 16 X 10'Q-m
What will be the length of this wire to make its resistance 100 ?
How much does the resistance change if the diameter is doubled ?
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diameter = 0.5mm
hence radius = 0.25mm
resistivity = 1.6 ohm m
resistance = 100 ohm
resistance = resistivity × length/ area
hence length = resistance × area/ resistance
= 100 × 3.14 × (0.25 × 10^-3)^2 / 1.6 ×10
= 12.2656 × 10 ^-4
If diameter doubles, resistance decreases by one fourth
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