Suppose you want to manufacture a 10-m long, 0.5-2 cylindrical wire out of silver atroom temperature. Silver has a molar mass of 107.9 g/mol, resistivity 1.6 × 10-8 m,temperature coefficient 3.8 × 10-3 °C-1, and a density 10.5 g/cm³.a. Determine how many grams of silver you need to purchase and determine therequired diameter of the wire.b. If you connect a 3-V source across this wire, calculate the drift velocity v₁ of theelectrons inside the wire. Assume one electron per atom available forconduction.c. Calculate the current density inside the wire.d. If the resistor increases to four times its original value after being connected to3 V for a long time, calculate the temperature change AT of the wire.

Approach to solving the question:The mass of the wire is determined using its volume and density.And…

Answered: Suppose you want to manufacture a 10-m…

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter28: Current And Resistance

Section: Chapter Questions

Problem 29PQ

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1.3x1016 electrons flow through a cross section of silver wire in 310 us with a drift speed of 7.2x10-4 m/s. ▼ Part A What is the diameter of the wire? Express your answer to two significant figures and include the appropriate units. D = Submit μÅ Value Request Answer Ć Units ?
A Resistive Heater. You and your team are designing a small tube heater that consists of a small ceramic tube wrapped with a special heater wire composed of Nichrome. When you run an electrical current through the wire, the wire (and therefore the tube) heats up through resistive heating. Nichrome is an alloy composed of 80% nickel and 20% chromium, and has a resistivity of p = 1.25 × 10-602. m. (a) What is the resistance per centimeter of 28-gauge Nichrome wire? ("28 gauge" means the wire has a diameter D= 0.320 mm) (b) You wrap the tube with 41.0 cm of the Nichrome wire, and you want the power output of your heater to be 115 W. What current is needed? (c) What voltage will provide the current calculated in (b)? (a) Number i Units (b) Number i Units (c) Number Units
Q1: A conductive wire has a resistivity of (0.649x10-8(Q.m)') at room temperature are (5.8x10* ) conduction electron/m3.Calculate the mobility, resistivity and relaxation time of electrons.
1.0x1016 electrons flow through a cross section of silver wire in 300 μs with a drift speed of 7.2x10-4 m/s. Part A What is the diameter of the wire? Express your answer to two significant figures and include the appropriate units. D= Submit ΜΑ Value Request Answer Units ?
The resistivity of a metal increases slightly with increased temperature. This can be expressed as p=po [1+ a(T-To)], where To is a reference temperature, usually 20°C, and a is the temperature coefficient of resistivity. For copper, a=3.9x 10-3 °C-1. Suppose a long, thin copper wire has a resistance of 0.25 at 20°C. Part A At what temperature, in °C, will its resistance be 0.25 ? T= Submit 5 ΑΣΦ V Request Answer ? °C
1.The resistance of a thermistor over a limited range of temperature is given by where c is a constant and T is the absolute temperature. What will be the temperature on the Celsius scale of the thermistor at absolute temperature of T = 300K? 2. A woman finds a front windshield of a car covered with ice at -12oC. The ice mm and the windshield area is 125mm2. The density of the ice is 917kg/m3. How much heat is required to melt the ice? [S.H.C of ice = 2200J/kg/K, Lf =3.3x105J/kg]. 3. An electric heater of power 2kW is used to heat 0.8kg of water in a container of heat capacity 300J/K. If the water is initially at 18oC, how long will it take to heat it to the boiling point of 100oC? What mass of water will have boiled away in 4 minutes? [S.H.C of water = 4200J/kg/K, LV = 2.3X106J/kg] 4. Explain anomalous expansion of water. 5. Steel railway tracks are laid at 8oC. What size of expansion gap are needed 10m long rail sections if the ambient temperature varies from -10oC to…
Match the equivalent quantities: 160.2 µC A. 1.602 x 10-4c 160.2 nC B. 2.56 m v k C. 25600 m v 256 cm D. 9 x 10° N-m2/c2 E. 1.602 x 10- c
Subject: phy
Copper has mass density of 8.95 g/cm^3.and electrical resistivity of 1.55×10^-8 ohm.m at room temperature. Assuming the effective mass is mo. Calculate . a) the concentration of the conduction electrons. b) electrical conductivity.
1. A 12' hollow tungsten rod has a cross-sectional area illustrated below. At 150°C, the resistance of the rod is known to be 175 µSN. Take owa2orc = 0.1786x10° Siemens/m, aw@100°c = 0.003311258278 per °C, and the outer radius of the cross-sectional area as 1.25". Determine the following: a. The inferred absolute temperature of tungsten in °C b. The resistivity of tungsten at 120°C in 2-CM/ft c. The area occupied by the tungsten in square mils d. The length in inches of the side of the regular octagon comprising the hollow region of the cross-sectional с. area e. The resistance at 80°C of a solid copper rod having the same length as that of the tungsten rod, and a circular cross-sectional area that can fit tightly inside the hollow octagonal region of the tungsten rod without deformation on both rods. Take pcu@20c = 10.37 Q-CM/ft, acu@20°c = 0.003929273084 per °C. Assume both tungsten and copper rod does not expand nor stretch with the increase in temperature.
1.For copper, α = 3.9×10−3 ∘C−1. Suppose 2.5-m-long, 0.40-mm-diameter copper wire is connected across the terminals of a 1.5 V ideal battery. What is the current in the wire at 20∘C? 2.What is the rate, in A/∘C, at which the current changes with temperature as the wire heats up?
Conduc-Thor-s. Thor has two square prism conductors that are made of the same ohmic material and with properties indicated below. Conductor Length | Cross-Section Side Length Alpha L Beta L/2 s/4 Suppose both conductors are subject to the same potential difference AV across their length while keeping their temperatures fixed. Which of the following is the correct relation between the electric currents, Ia and IB, through Alpha and Beta? O A. Ia = 8IB O B. 8Ia = Ig O. Ia = 4I8 O D. 4Ig = Ig Clear my choice

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