Practice - Temperature Dependence of Resistivity
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Practice Questions
Test your understanding with targeted questions
Define resistivity in your own words.
💡 Hint: Consider how materials behave when electrical current passes through them.
What happens to the resistivity of a metal as temperature increases?
💡 Hint: Think about what happens to atomic vibrations in a metal.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the relationship between temperature and resistivity for metals?
💡 Hint: Think about how atomic motion changes with temperature.
True or False: The formula \(\rho(T) = \rho_0 [1 + \alpha (T - T_0)]\) can only be used for non-metal materials.
💡 Hint: Remember the general applicability of relationships in physics.
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Challenge Problems
Push your limits with advanced challenges
A wire made of copper has a resistivity of 1.68 × 10⁻⁸ Ω·m at 20 °C. If the temperature rises to 80 °C and the temperature coefficient is 0.0039°C⁻¹, calculate the new resistivity. What implications does this have for electrical applications?
💡 Hint: Pay special attention to ensure the thermal coefficient is correctly substituted.
You have two materials: Material A with a higher temperature coefficient of resistivity than Material B. Given that both are used in high-temperature environments, discuss which material you would prefer for minimizing resistive losses in electrical applications and explain why.
💡 Hint: Analyze what the implications of the temperature coefficients are on performance.
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