How long L is a tungsten wire id it has a diameter of 0.187 x 10^-3 m and a resistance of 3.31 kilaohms? The resistivity of a tungsten is 5.62 x 10^-8 (Ohms x meters).

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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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How long L is a tungsten wire id it has a diameter of 0.187 x 10^-3 m and a resistance of 3.31 kilaohms? The resistivity of a tungsten is 5.62 x 10^-8 (Ohms x meters).

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Step 1: Given parameters

D equals 0.187 cross times 10 to the power of negative 3 end exponent space m space left parenthesis d i a m e t e r right parenthesis
A equals pi left parenthesis D over 2 right parenthesis squared equals pi cross times left parenthesis fraction numerator 0.187 cross times 10 to the power of negative 3 end exponent over denominator 2 end fraction right parenthesis squared equals 2.746 cross times 10 to the power of negative 8 end exponent space m squared space left parenthesis c r o s s space s e c t i o n a l space a r e a right parenthesis
R equals 3.31 space k capital omega equals 3310 space capital omega space left parenthesis r e s i s tan c e space o f space w i r e right parenthesis
rho equals 5.62 cross times 10 to the power of negative 8 end exponent space capital omega. m space left parenthesis r e s i s t i v i t y right parenthesis

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