Electric circuits are affected by heat as well. Assume that in its initial state at 20 °C, the capacitor is made of two square pieces of aluminum foil, each 10 cm on a side, and separated by 0.1 mm of teflon. The thermal expansion coefficient of aluminum at 20 °C is given in the text's table 13-1; the linear expansion coefficient for teflon is 120 × 10−6 °C−1, and its dielectric constant (see section 17-8 in the text) is 2.1 (the latter does not change appreciably in this temperature regime). The resistor in the circuit initially has a resistance of 10 kΩ, but its resistance changes with temperature according to ?(?)=?0(1+?(?−?0)), R ( T ) = R 0 ( 1 + σ ( T − T 0 ) ) , where σ = 75 × 10–6 Ω °C–1 and T0 is 20 °C. Compute the difference in the time constant when the circuit components are at 60 °C; you must make a clear statement about whether the time constant becomes larger (the circuit "runs slower") or smaller (the circuit "runs faster"). estimate the change in the time constant of an RC circuit due to thermal changes.
Electric circuits are affected by heat as well. Assume that in its initial state at 20 °C, the capacitor is made of two square pieces of aluminum foil, each 10 cm on a side, and separated by 0.1 mm of teflon. The thermal expansion coefficient of aluminum at 20 °C is given in the text's table 13-1; the linear expansion coefficient for teflon is 120 × 10−6 °C−1, and its dielectric constant (see section 17-8 in the text) is 2.1 (the latter does not change appreciably in this temperature regime). The resistor in the circuit initially has a resistance of 10 kΩ, but its resistance changes with temperature according to ?(?)=?0(1+?(?−?0)), R ( T ) = R 0 ( 1 + σ ( T − T 0 ) ) , where σ = 75 × 10–6 Ω °C–1 and T0 is 20 °C. Compute the difference in the time constant when the circuit components are at 60 °C; you must make a clear statement about whether the time constant becomes larger (the circuit "runs slower") or smaller (the circuit "runs faster"). estimate the change in the time constant of an RC circuit due to thermal changes.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Question
Electric circuits are affected by heat as well. Assume that in its initial state at 20 °C, the capacitor is made of two square pieces of aluminum foil, each 10 cm on a side, and separated by 0.1 mm of teflon. The thermal expansion coefficient of aluminum at 20 °C is given in the text's table 13-1; the linear expansion coefficient for teflon is 120 × 10−6 °C−1, and its dielectric constant (see section 17-8 in the text) is 2.1 (the latter does not change appreciably in this temperature regime). The resistor in the circuit initially has a resistance of 10 kΩ, but its resistance changes with temperature according to ?(?)=?0(1+?(?−?0)),
R
(
T
)
=
R
0
(
1
+
σ
(
T
−
T
0
)
)
,
where σ = 75 × 10–6 Ω °C–1 and T0 is 20 °C. Compute the difference in the time constant when the circuit components are at 60 °C; you must make a clear statement about whether the time constant becomes larger (the circuit "runs slower") or smaller (the circuit "runs faster").
estimate the change in the time constant of an RC circuit due to thermal changes.
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