hat are the factors on wch the resistance of a conductor depends? what happens to the resistivity of a conductor when its length is doubled?
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Resistance of a conductor directly depends upon lenght of wire L
Inversely depends upon area of a cross
Of section of the conductor 1/A
Natural material is used
Therefore, R=p l/A
Lengths of the conductor is doubled means you are stretching that given length to double it, as a result the wire become thin due to stretching so its area of a cross section will be halved (since the volume remains constant)
So, new resistance Rn=p 2/L/A/2=4p. L/A=4R
Hence the new resistance will be 4times
Inversely depends upon area of a cross
Of section of the conductor 1/A
Natural material is used
Therefore, R=p l/A
Lengths of the conductor is doubled means you are stretching that given length to double it, as a result the wire become thin due to stretching so its area of a cross section will be halved (since the volume remains constant)
So, new resistance Rn=p 2/L/A/2=4p. L/A=4R
Hence the new resistance will be 4times
Nudge:
Can you attach a photo of this part -2/L/A/2.It would be really helpful
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