To what temperature must you raise a silver wire (a = 0.0038), originally at 20.0°C, to triple its resistance, neglecting any changes in dimensions? (You can assume that resistivity varies with temperature linearly) 314.12 °C 608.24 °C 546.32 °C 283.16 °C

To what temperature must you raise a silver wire (a = 0.0038), originally at 20.0°C, to triple its resistance, neglecting any changes in dimensions? (You can assume that resistivity varies with temperature linearly) 314.12 °C 608.24 °C 546.32 °C 283.16 °C

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter27: Current And Resistance

Section: Chapter Questions

Problem 27.73AP

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Concept explainers

Microscopic view of current

In physics, the term current is expressed as the rate of flow of electric charges across the area per unit time (I=q/t). It propagates along in the direction of the motion of positive charges. When the current is caused by the motion of electrons, the direction of the current is opposite to the flow.

Question

How do I solve this resistence question?

To what temperature must you raise a silver wire (a = 0.0038), originally at 20.0°C, to triple its
resistance, neglecting any changes in dimensions? (You can assume that resistivity varies with
temperature linearly)
314.12 °C
608.24 °C
546.32 °C
283.16 °C

Expert Solution

Step 1

Given

Resistivity of silver is given as $α_{c} = 0.0038 Ω . m$

Initial temperature is $t_{i} = 20.0 ° C$

Final resistance is $R_{f} = 3 R_{1}$ , where $R_{1}$ is the initial resistance.

We have to calculate the final tempearture.

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