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What is the length of a wire of radius 0...

What is the length of a wire of radius 0.2 mm and resitance `25 Omega`? The restivity of the material of the wire is `2pi xx 10^(-8) Omega.m.`

Text Solution

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`R=rho L/A = (rho L)/(pir^(2))`
`therefore` The length of the wire, `L=(pir^(2)R)/rho = (pi(2 xx 10^(-4))^(2)(25))/(2 pi xx 10^(-8)) = 50m`
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