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