Question

The resistivity of a metal increases slightly with increased temperature. This can be expressed as ρ = ρ0[1 + α(T - T0)], where T0 is a reference temperature, usually 20°C, and α is the temperature coefficient of resistivity. For copper, α = 3.9 × 10^-3 °C^-1. Suppose a long, thin copper wire has a resistance of 0.25 Ω at 20°C. At what temperature, in °C, will its resistance be 0.30 Ω?

Name: the resistivity of a metal increases slightly with increased temperature this can be expressed as 0 1 t t0 where t0 is a reference temperature usually 20c and is the temperature coefficient 31386
Uploaded: 2022-05-03T10:02:18-08:00
Duration: 2 min 40 s
Channel: Sikandar Baig
Description: the resistivity of a metal increases slightly with increased temperature this can be expressed as 0 1 t t0 where t0 is a reference temperature usually 20c and is the temperature coefficient 31386

          The resistivity of a metal increases slightly with increased temperature. This can be expressed as ρ = ρ0[1 + α(T - T0)], where T0 is a reference temperature, usually 20°C, and α is the temperature coefficient of resistivity. For copper, α = 3.9 × 10^-3 °C^-1. Suppose a long, thin copper wire has a resistance of 0.25 Ω at 20°C. At what temperature, in °C, will its resistance be 0.30 Ω?

Added by Daniel S.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Sikandar Baig

05/03/2022

Step 1

25 \, \Omega\) - Reference temperature, \(T_0 = 20°C\) - Temperature coefficient for copper, \(\alpha = 3.9 \times 10^{-3} \, °C^{-1}\) - Final resistance, \(R = 0.30 \, \Omega\) ** Show more…

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The resistivity of a metal increases slightly with increased temperature. This can be expressed as ρ = ρ0[1 + α(T - T0)], where T0 is a reference temperature, usually 20°C, and α is the temperature coefficient of resistivity. For copper, α = 3.9 × 10^-3 °C^-1. Suppose a long, thin copper wire has a resistance of 0.25 Ω at 20°C. At what temperature, in °C, will its resistance be 0.30 Ω?