Two pieces have been cut from a long wire. The ratio of their length is 3:1 what is the ratio of the resistance?
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The ratio of resistance will also be 3:1 because resistance is directly proportional to length..
Let resistivity be x and area be y. Both resistivity and area will be same in both the wires as both of them hace been cutted down from same wire.
So,
R1=xL1/y
R2=xL2/y
So, R1/R2=L1/L2
as all other things canceled out.
so, R1:R2=L1:L2=3:1
Let resistivity be x and area be y. Both resistivity and area will be same in both the wires as both of them hace been cutted down from same wire.
So,
R1=xL1/y
R2=xL2/y
So, R1/R2=L1/L2
as all other things canceled out.
so, R1:R2=L1:L2=3:1
RaunakRaj:
also try short methods. Why to long and waste time?
Answered by
7
The ratio of resistance will also be 3:1 because resistance is directly proportional to length..
Let resistivity be x and area be y. Both resistivity and area will be same in both the wires as both of them hace been cutted down from same wire.
So,
R1=xL1/y
R2=xL2/y
So, R1/R2=L1/L2
as all other things canceled out.
so, R1:R2=L1:L2=3:1
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