Question

A 1.50-m cylindrical rod of diameter 0.500 cm is connected to a power supply that maintains a constant potential difference of 15.0 V across its ends, while an ammeter measures the current through it. You observe that at room temperature (20.0$^\circ$C) the ammeter reads 18.5 A, while at 92.0$^\circ$C it reads 17.2 A. You can ignore any thermal expansion of the rod. Find (a) the resistivity at 20.0$^\circ$C and (b) the temperature coefficient of resistivity at 20$^\circ$C for the material of the rod.

          A 1.50-m cylindrical rod of diameter 0.500 cm is connected to a power supply that maintains a constant potential difference of 15.0 V across its ends, while an ammeter measures the current through it. You observe that at room temperature (20.0$^\circ$C) the ammeter reads 18.5 A, while at 92.0$^\circ$C it reads 17.2 A. You can ignore any thermal expansion of the rod. Find (a) the resistivity at 20.0$^\circ$C and (b) the temperature coefficient of resistivity at 20$^\circ$C for the material of the rod.

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Added by Savannah C.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Chapter 25

Instant Answer

Solved by Expert Umar Sohail Qureshi

08/26/2021

Step 1

0$^\circ$C using the first equation provided in the Explanation. Given: - Potential difference, V = 15.0 V - Current at 20.0$^\circ$C, I = 18.5 A - Length of the rod, L = 1.50 m - Diameter of the rod, d = 0.500 cm = 0.005 m Using the formula for resistance, R = ρ Show more…

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A 1.50-m cylindrical rod of diameter 0.500 cm is connected to a power supply that maintains a constant potential difference of 15.0 V across its ends, while an ammeter measures the current through it. You observe that at room temperature (20.0$^\circ$C) the ammeter reads 18.5 A, while at 92.0$^\circ$C it reads 17.2 A. You can ignore any thermal expansion of the rod. Find (a) the resistivity at 20.0$^\circ$C and (b) the temperature coefficient of resistivity at 20$^\circ$C for the material of the rod.

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