Physics for Scientists and Engineers
10th Edition
ISBN: 9781337553278
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
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
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
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
Need Help?
Read It
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
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 - In the Bohr model of the hydrogen atom (which will...Ch. 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 - A Van de Graaff generator (see Problem 24)...Ch. 26 - An electric current in a conductor varies with...Ch. 26 - Prob. 10PCh. 26 - An electric heater carries a current of 13.5 A...Ch. 26 - You are working at a company that manufactures...Ch. 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 - Plethysmographs are devices used for measuring...Ch. 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 - A 100-W lightbulb connected to a 120-V source...Ch. 26 - The potential difference across a resting neuron...Ch. 26 - The cost of energy delivered to residences by...Ch. 26 - Residential building codes typically require the...Ch. 26 - Assuming the cost of energy from the electric...Ch. 26 - An 11.0-W energy-efficient fluorescent lightbulb...Ch. 26 - A 500-W heating coil designed to operate from 110...Ch. 26 - Why is the following situation impossible? A...Ch. 26 - Make an order-of-magnitude estimate of the cost of...Ch. 26 - Lightbulb A is marked 25 W 120 V, and lightbulb B...Ch. 26 - One wire in a high-voltage transmission line...Ch. 26 - You are working with an oceanographer who is...Ch. 26 - A charge Q is placed on a capacitor of capacitance...Ch. 26 - An experiment is conducted to measure the...Ch. 26 - Prob. 39APCh. 26 - Prob. 40APCh. 26 - Review. An office worker uses an immersion heater...Ch. 26 - The strain in a wire can be monitored and computed...Ch. 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 - Why is the following situation impossible? An...Ch. 26 - Prob. 48CPCh. 26 - A spherical shell with inner radius ra and outer...Ch. 26 - Material with uniform resistivity is formed into...
Knowledge Booster
Similar questions
- Resistivity in metals increases with temperature according to the equation: ρ(T) = ρ0[1 + α(T - T0)] where α is the temperature coeficcient of restivity, and ρ0 is the restivity at the reference temperature T0. For a particular wire, the temperature coeficcient of restivity is α = 3.83 X 10-3 °C-1, and the restivity is ρ0 = 7.71 X 10-7 Ωm at the reference temperature T0 = 297°C. Find an expression for the temperature T2, at which the resistance of a particular wire will be twice as high as it is at the reference temperature T0. (Both temperatures are in degrees Celsius) Use this expression to find the temperature in degrees Celsius for T2. If the wire has a length of 1.00m and it has a circular cross section with a radius of 1.00cm, what is the resistance in ohms, at a temperature which is twice the reference temperature, T = 2T0 ?arrow_forwardThe current I is measured through a sample of an ohmic material as a voltage V is applied. (a) What is the current when the voltage is doubled to 2V (assume the change in temperature of the material is negligible)? (b) What is the voltage applied is the current measured is 0.2I (assume the change in temperature of the material is negligible)? What will happen to the current if the material if the voltage remains constant, but the temperature of the material increases significantly?arrow_forwardRecall that the potential difference Vab is the work per charge done by the electric field. Thus, the work W needed to move a charge Q through a resistor of resistance R is W= QVab Also, recall that the power Pequals W/t and Q = It to find %3D P = Vabl. This power is the rate at which a resistor dissipates electrical energy (that is, converts it to thermal energy). P = Vabl also gives the rate at which a source of emf delivers energy to an external circuit when the current leaves terminal a and Vab is the terminal voltage of the source. Recall that the SI unit of power is the watt (W), where 1 W = 1 J/s. The units work out in P = е Vabl. because 1 V = 1 J/C d 1 C = 1 A·s. A light bulb is rated at 110 W, 220 V. What steady current flows through it for these values? O 0.5 A O 22.0 A are ZO... O 11.0 A О 330.0А Click Save and Submit to save and submit. Click Save All Answers to save all answers. crosoft Teams Save All Answers Save and SLarrow_forward
- Consider the following scenario: An engineering student measures the resistivity of a particular cylindrical wire for different lengths L by tapping at points the wire from 0.1 m to 1 m in steps of 0.1 m. The radius of the wire is 0.2 mm. The experiment is carried out under following circumstances: a) The best line has been drawn through the points given below and determine the resistivity of the wire from the slope of the plot between blue marked points. b) Based on the value of resistivity you calculated, what is the material wire resistor made of? Make sure everything is in ohms and meters, otherwise your units will not work out correctly in the end!arrow_forwardShow that, according to the free-electron model of electrical conduction in metals and classical physics, the resistivity of metals should be proportional to where T is the temperature in kelvins.arrow_forwardDuring an experiment to verify Ohm's law, the voltage supplied and the current through a circuit are measured. [Voltage is measured in Volt (V) and current in Ampere (A)]. V www R A Battery The measured value of the current is I = 2.8 ± 0.1 A and that of the voltage is V = 18 ± 0.4 V. The resistance of the circuit %3D %3D (in Q) can be calculated using the formula, R =V/I, Calculate the, a) Resistance (in Q) = b) Fractional uncertainty in the resistance = c) Absolute uncertainty (in 2) in the resistance=arrow_forward
- Consider a resistor of resistivity 4.84 x 10-8 n.m. If an electric field of 18 V/m is applied across the resistor and the electron volume concetration in the conductor is 4.39 x 1028 per m3, determine the drift velocity, in mm/s, of the free electron constituting the current. In the dedicated field, enter only the value being asked in the problem. Express answers accurate to four decimal places for the final answer. Do not enter the unit of measurement as it is already indicated in the problem. This specific item DOES NOT require solutions.arrow_forwardYou plotted a graph of current vs. voltage and found the slope of the best fit line is m± Am = 4.69 ± 1.79 Amps/Volt. The resistance can be calculated from the slope by knowing: R = 1 m The fractional uncertainty in the slope is equivalent to the fractional uncertainty in the resistance: AR R = Am m Calculate the uncertainty in the resistance, AR in units of (ohms), then enter the raw value (no units) into the box below. Round to two decimal places. AR=arrow_forwardQuestion 1 a) Ina closed circuit, an electric current of intensity i goes through a resistor of resistance R. The electric potential at the edges of R is measured to be V. If now we write R would this generally bethe definition ofthe resistance quantity R, or the expression of Ohm's Law? Explain. b) We define the resistivity (via the familiar notation) as E 「了, Thus show that the resistance R can be written as, R =p! A here Lis the length ofthe resistor, and A is the cross-sectional area ofit. c) Let J the curent density (i/A). Express J in tems of the electron density n (electrons/m'), the electron drift velocity va, and the electron charge e.arrow_forward
- A platinum resistance thermometer (PRT) is a transducer which measures temperature 0 by means of consequent change of electrical resistance RT between its two terminals. Such a PRT has the following quadratic characteristic: RT=Ro [1+A0+BO^2] The PRT is calibrated so that its resistance is Ro = 100 Q at a reference temperature of 0 = 0°C. The coefficients have the following values: A = +4.0 x 10-3 °C-1 B = -5.0 x 10-6 oc-2 Determine sensitivity of this transducer at temperatures of +50 °C. Select one: O a. 0.45 Q/°C Ob. -0.45 Q/°C -0.35 Ω/ΟC d. 0.4 0/°C O e. 0.35 Q/°C O f. -0.4 0/PCarrow_forwardCheap resistors are fabricated by depositing a thinlayer of carbon onto a nonconducting cylindrical substrate. If such a cylinder has radius a and length d, determine the thickness of the film required for a resistance R ifa = 1 mm R = 33 kσ = 1ρ = 2.9 MS/md = 9 mmNeglect the end surfaces of the cylinder and assumethat the thickness is much smaller than the radius.arrow_forwardThe space between two conducting concentric spheres ofradii a and b (a < b) is filled up with homogeneous poorly conductingmedium. The capacitance of such a system equals C. Find the resistivity of the medium if the potential difference between the spheres,when they are disconnected from an external voltage, decreasesn-fold during the time interval Δt.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning