A ribbon of material with a rectangular cross sectional area of (0.25 mm * 1.00 mm),length 21.9 cm and resistance 1.5 $\varOmega$ is used as a heating element in a toaster.What is the resistivity of the material?

Question

Quizplus · Accepted Answer

The resistivity (ρ) of the material can be determined using the formula:

ρ = (RA) / L

where R is the resistance of the material, A is the cross-sectional area of the material, and L is the length of the material.

Substituting the given values, we get:

ρ = (1.5 Ω) / (0.25 mm x 1.00 mm x 21.9 cm)

Converting the units to SI units, we get:

ρ = (1.5 Ω) / (2.5 x 10^-8 m^2 x 0.219 m)

ρ = 1.71 x 10^-6 Ω·m

Therefore, the best choice is B.

A Ribbon of Material with a Rectangular Cross Sectional Area Ω\varOmegaΩ

A Ribbon of Material with a Rectangular Cross Sectional Area $\varOmega$