ahyannac
ahyannac ahyannac
  • 04-05-2020
  • Physics
contestada

What is the diameter of a 1.00-m length of tungsten wire whose resistance is 0.32 ohms?

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nuhulawal20
nuhulawal20 nuhulawal20
  • 11-05-2020

Answer: The Diameter = 4.72 × 10^-4 metre = 0.000472m

Explanation:

Length of the tungsten wire = (L) 1.00m

Resistance of the tungsten wire(R) = 0.32ohms

Diameter (D) = ?

Resistivity (p) which is a constant = 5.6 × 10^-8

Pie (π) = 3.14

Now Using the formula

resistance = (resistivity × length) / area

R = pL / A

R = pL / πr²

R = pL / π(D/2)²

D² = 4pL / πR

D = √{(4pL)/(πR)}

D = √{( 4 × 5.6 × 10^-8 × 1.0) / ( 3.14 × 0.32)}

D = 4.72 × 10^-4 metre = 0.000472 m

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