1.

Define electric resistance and write it's SI unit. How does the reisitance of a conductor vary if (a) conductor is stretched to 4 times of it's length (b) Temperature of a conductor is increased.

Answer»

Solution :Electric (R ) : The resistance offered by a flow of electrons in a CONDUCTOR is called electric resistance.
S.I unit of resistance is ohm `(OMEGA)`
The resistance of a conductor
`R = (rho l)/(A) = (rho l^(2))/(V) implies R PROP l^(2)`
(a) In first CASE, `R_(1) = R, l_(1) = l`
(b) In second case, `l_(2) = 4l, R_(2) = ?`
`(R_(2))/(R_(1)) = (l_(2)^(2))/(l_(1)^(2)) implies (R_(2))/(R) = ((4I)/(I))^(2) :. R_(2) = 16 R`
(b) Variation of resistance with temperature is given by `R_(t) = R_(0) (1 + alpha t)`
If temperature increases, resistance also increases.


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