120k views
5 votes
What is the diameter of a 1.00-m length of tungsten wire whose resistance is 0.32 ohms?

1 Answer

1 vote

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

Step-by-step 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

User IT Ninja
by
4.5k points