Calculate the specific resistance of a substance, a wire of which 600 m long and a cross-sectional
July 26, 2021 | education
| Calculate the specific resistance of a substance, a wire of which 600 m long and a cross-sectional area of 0.7 mm2 has a resistance of 95 ohms
Initial data: l (wire length) = 600 m; S (cross-sectional area of the wire) = 0.7 mm ^ 2; R (wire resistance value) = 95 ohms.
The specific resistance of the substance from which this wire is made can be expressed from the following formula: R = ρ * l / S.
ρ = R * S / l.
Let’s perform the calculation:
ρ = 95 * 0.7 / 600 = 0.11 Ohm * mm ^ 2 / m (the resistivity of platinum is closest to the obtained value: ρ = 0.107 Ohm * mm ^ 2 / m).
Answer: According to the calculation, the specific resistance of the substance is ρ = 0.11 Ohm * mm ^ 2 / m.
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