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Q.

An aluminium wire of a diameter 1.4 mm is used to make a 4 $Ω$ resistor. The length of the wire is (resistivity of aluminium $ρ = 2 .2 \times 10^{- 8} Ω - m$ )

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a

220 m

b

280 m

c

1000 m

d

100 m

answer is C.

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Detailed Solution

$l = \frac{{Rπr}^{2}}{ρ}; l = \frac{4 \times 3 .14 \times {(0 .7 \times 10^{- 3})}^{2}}{2 .2 \times 10^{- 8}} = 280 m$

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