1.

What is meant by resistance of conductor? Name and define its Sl unit. List the factors by which the resistance of a wire is affected. What happens if i] its length is doubled ii] its radius is doubled?

Answer»

Solution :RESISTANCE is the property of the CONDUCTOR to resist the flow of current.
Sl UNIT of Resistance is Ohm.
Resistance of a conductor DIRECTLY depends upon Length of the wire L
Inversely depends upon Area of Cross section of the conductor I/A
Nature of material used.
Therefore, `R=(rhoL)/A`
Length of the conductor is double, means you are stretching that given length to double it. As a RESULT, the wire becomes thin due to stretching. So its area of cross section will be halved [since the volume remains constant].
So new resistance
`R_(N)=(rho2L)/(A/2)=(4rhoL)/A=4R`
Hence the new resistance will increase will become one-fourth.


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