What is the resistance of a cylindrical metal rod 1.0 cm in diameter and 45 m long,if the resistivity of the metal is 1.4 × 10^-8 Ω ∙ m? A)0.0063 Ω B)0.0080 Ω C)0.80 Ω D)6.3 Ω

Question

Quizplus · Accepted Answer

The resistance of a cylindrical rod can be calculated using the formula:

R = (ρ × L) / A

where, 
R = resistance 
ρ = resistivity of the material 
L = length of the cylinder 
A = cross-sectional area of the cylinder

In this case, 
diameter = 1.0 cm 
radius (r) = 0.5 cm = 0.005 m 
length (L) = 45 m 
resistivity (ρ) = 1.4 × 10^-8 Ω ∙ m

The cross-sectional area (A) of the cylinder can be calculated using the formula:

A = π × r^2

Substituting the values,

A = π × (0.005 m)^2 = 7.85 × 10^-5 m^2

Now, substituting all the values in the formula for resistance, we get:

R = (1.4 × 10^-8 Ω ∙ m × 45 m) / (7.85 × 10^-5 m^2)

R = 0.008 Ω

Therefore, the answer is B) 0.0080Ω

What Is the Resistance of a Cylindrical Metal Rod 1