a electric wire of resistance 10ohm is stretched to increase its lenght by 2 times .by what % will the resistance by increased ?
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Answer:
Let us check the equation. Resistance= resistivity*length/area
For a wire that is stretched/ melted and reformed/ made into another shape, volume is constant.
Therefore, we change the above equation to include V and then find the relation between resistance and length.
Multiplying both sides with length, we get resistance= resistivity*(length)*2/ volume
Now resistance is proportional to the square of length.
If length increases by two times, resistance increases by 4 times. New resistance =40 ohm
% increase in resistance= change in resistance*100/initial resistance
= 30*100/10= 300 %
Explanation:
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Answer:
14.4ohm
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