A cylinder of a material is 10 cm long and has a cross section of 2 cm2. If its resistance along the length be 20 ohms, what will be its resistivity?
Question
Solution
The resistivity of a material can be calculated using the formula:
ρ = R * (A / L)
where: ρ is the resistivity, R is the resistance, A is the cross-sectional area, and L is the length.
Given in the problem: R = 20 ohms, A = 2 cm², and L = 10 cm.
Substituting these values into the formula, we get:
ρ = 20 * (2 / 10) = 4 ohm-cm.
So, the resistivity of the material is 4 ohm-cm.
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