Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Question
Chapter 26, Problem 48CP
(a)
To determine
To show: The resistivity is given approximately by the expression
(b)
To determine
To show: The resistivity is given approximately by the expression
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A more general definition of the temperature coefficient of resistivity is α =1ρ|dρdT|where ρ is the resistivity at temperature T.
(a) Assuming α is constant, show that ρ = ρ0eα(T−T0)
where ρ0 is the resistivity at temperature T0.
(b) Using the series expansion ex ≈ 1 + x for x << 1,
show that the resistivity is given approximately by the expression
ρ = ρ0[1 + α(T − T0)] for α(T − T0) ≪ 1
of 20.0°C and satisfies the equation p = Po[1 + a(T - T)], where po is the resistivity of
= 20.0°C. Suppose the coefficients were given the symbol B and were based on a T, of 0°C, so that they satisfied the equation p = Po*[1+ B(T - 0°C)],
The temperature coefficient of resistivity a is based on a reference temperature
the material at To
where
is the resistivity of the material at 0°C. Obtain the value for the coefficient a from this table and then determine the value of the coefficient B for silver.
Po
(°C)-1
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If R=Ro[1+ a(T - To)], find:
(a) the temperature coefficient of resistivity, a, in terms of R, Ro, T, and To.
(b) the temperature coefficient of resistivity for a resistor with resistances of 8.2 at 33°C and 9.35
at 70°C.
Chapter 26 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 26.1 - Consider positive and negative charges of equal...Ch. 26.2 - Prob. 26.2QQCh. 26.2 - Prob. 26.3QQCh. 26.4 - When does an incandescent lightbulb carry more...Ch. 26 - Prob. 1PCh. 26 - A small sphere that carries a charge q is whirled...Ch. 26 - Prob. 3PCh. 26 - Prob. 4PCh. 26 - Prob. 5PCh. 26 - Figure P26.6 represents a section of a conductor...
Ch. 26 - The quantity of charge q (in coulombs) that has...Ch. 26 - Prob. 8PCh. 26 - Prob. 9PCh. 26 - A wire 50.0 m long and 2.00 mm in diameter is...Ch. 26 - Prob. 11PCh. 26 - Prob. 12PCh. 26 - Prob. 13PCh. 26 - Prob. 14PCh. 26 - Prob. 15PCh. 26 - Prob. 16PCh. 26 - Prob. 17PCh. 26 - Prob. 18PCh. 26 - An aluminum wire with a diameter of 0.100 mm has a...Ch. 26 - Prob. 20PCh. 26 - At what temperature will aluminum have a...Ch. 26 - You are working in a laboratory that studies the...Ch. 26 - Assume that global lightning on the Earth...Ch. 26 - The Van de Graaff generator, diagrammed in Figure...Ch. 26 - Prob. 25PCh. 26 - The potential difference across a resting neuron...Ch. 26 - Prob. 27PCh. 26 - Prob. 28PCh. 26 - Prob. 29PCh. 26 - Prob. 30PCh. 26 - Prob. 31PCh. 26 - Prob. 32PCh. 26 - Prob. 33PCh. 26 - Prob. 34APCh. 26 - Prob. 35APCh. 26 - You are working with an oceanographer who is...Ch. 26 - A charge Q is placed on a capacitor of capacitance...Ch. 26 - Prob. 38APCh. 26 - Prob. 39APCh. 26 - Prob. 40APCh. 26 - Review. An office worker uses an immersion heater...Ch. 26 - Prob. 42APCh. 26 - A close analogy exists between the flow of energy...Ch. 26 - The dielectric material between the plates of a...Ch. 26 - Review. A parallel-plate capacitor consists of...Ch. 26 - Prob. 46APCh. 26 - Prob. 47APCh. 26 - Prob. 48CPCh. 26 - Prob. 49CPCh. 26 - Material with uniform resistivity is formed into...
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