Show 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.
Q: Electric field through a copper wire is found to be 0.18 V/m. If the copper wire has 8.46x102…
A: Drift velocity is the average velocity at which electrons move through a conductor under the…
Q: A Cu wire of diameter of 2 mm and length of 1 m initially at room temperature of 300 K is applied a…
A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…
Q: Qt: Calculate the drift velocity and mean free path of copper when it carries a steady current of 10…
A: Given: Current I =10 amperes Radius, r =0.08cm Thermal velocity,=1.6×106m/s Resistivity of copper…
Q: A CONDUCTING WIRE OF CROSS-SECTION 0.1 MM^2 CARRIES A CURRENT OF 5A PRODUCED BY AN ELECTRIC FIELD AT…
A: Given data: - The cross-sectional area of the conducting wire is A = 0.1 mm2. The current carried…
Q: A more general definition of the temperature coefficient of resistivity is α = 1ρ|dρdT|where ρ is…
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Q: Determine the charge current density to produce a resistivity of 1010 Ωm at room temperature in a…
A: Let R be defined as the resistance and ρ be defined as the resistivity. Therefore, R=ρLA=ρLπr2=1010…
Q: A wire with a radius of 7.72mm is made of a conducting material that has an atomic mass of 49.4…
A: the formula that will be used here isI=neAvdA is area e is charge of electronvd is drift velocityI…
Q: busbar made out of copper has a length of 12 inches. Its surface dimension is 1 cm by 1 cm. If the…
A: Given values:- Length of copper,(L)=12 inch=12 x 0.0254 m=0.3048 m ----(1) [Using 1 inch=0.0254 m]…
Q: The current I is measured through a sample of an ohmic material as a voltage V is applied. (a) What…
A: Given data: The original voltage is: V The new voltage is: V’ The original current is: I The new…
Q: Copper wire has a resistivity ρ = 1.7 × 10-8 Ω⋅m when at 20°C and it has a temperature coefficient α…
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Q: The resistance R of a conductor of length L and area of cross – section A carrying a current I is…
A: R is given by: a)R=ρALb)R=VIc)R=σAd)R=2mLne2τA
Q: Find an expression for the temperature T2, at which the resistance of a particular wire will be…
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Q: A wire with a radius of 2.22mm is made of a conducting material that has an atomic mass of 72.0…
A: Given radius of wire = R = 2.22 mm atomic mass = 72.0 grams/mole mass density = 6.17x103 kg/m3…
Q: Ql: A conductive wire has a resistivity of (0.649x10-8(2.m):) at room temperature are (5.8x10-)…
A: Given : Conductivity of wire σ =0.649 x 10-8Ω-1m-1Electron densityη =5.8x1028…
Q: Copper wire has a resistivity p= 1.7 x 10-8 2-m when at 20°C and it has a temperature coefficient a…
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Q: Copper has a density of 8.96 x 10³ kg/m³ and a resistivity of 1.70 x 10-³0-m. a) On the basis of the…
A: The density of Copper is The resistivity is
Q: A uniform cross-séction of šilver hås à resistivity of 1.54 × 10-8 2 m at room temperature. For an…
A: Resistivity ρ= 1.54×10-8 Ωm n=5.8*1028 E=1 v/m σ=1ρ=11.54×10-8 Ωm=6.49×107 Ω-1m-1 b. mobility,…
Q: In a normal conductor heat is generated at a rate I 2R. Therefore a current-carrying conductor must…
A: Heat generation rate is P = I 2R Resistivity of the wire is p = 1.72 x 10-8 Ω*m Diameter of the…
Q: Copper wire has a resistivity ρ = 1.7 × 10-8 Ω⋅m when at 20°C and it has a temperature coefficient α…
A: we have ρ(T) =ρ0(1+α∆T)=ρ0(1+αT-20) (a) Also since the temperature on rod varies linearly, the…
Q: Problem 5: A nichrome rod of length LN 58 cm is connected in series (end to end) to a carbon rod of…
A: Resistanace of a material is given as,R= Resistance of the materialL= length of the materialA= Cross…
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Q: In a conductor, if the number of conduction electrons per unit volume is 8.5 x 1028 m3 and mean free…
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Q: Copper wire has a resistivity ρ = 1.7 × 10-8 Ω⋅m when at 20°C and it has a temperature coefficient α…
A:
Q: The current–voltage characteristic curve for a semiconductor diode as a function of temperature T is…
A: For the given values, the table for ΔV, I and R is shown below
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Q: A certain metal has a resistivity of 13.6×108 m at 20°C. If the temperature coefficient of the given…
A: Resistivity is a measure of the resistance of a material to the flow of electric current. It is a…
Q: A 1.2 g wire has a density of 2.7 g/cm3 and a resistivity of 2.7 × 10−8 Ωm. The wire has a…
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Q: Copper wire has a resistivity g = 1.7 x 10-8 22-m when at 20°C and it has a temperature coefficient…
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Q: Problem 5: Copper wire has a resistivity p = 1.7 x 10-8 2 m when at 20°C and it has a temperature…
A: (a)
Q: here v, is the drift velocity of the electrons and E is the electric field in the metal. This…
A: The volume current density can be defined as J=nqvd ALso, J=σE
Q: Qʻ: Calculate the drift velocity and mean free path of copper when it carries a steady current of 10…
A: Given: The current carried by the copper wire is I = 10 A The radius of the copper wire is r = 0.08…
Show that, according to the free-electron model of electrical
should be proportional to where T is the temperature in
kelvins.
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- In the classic model for electrical conduction, electron mobility u in a metal wire is defined as where v, is the drift velocity of the electrons and E is the electric field in the metal. This parameter is a measure of how freely electrons can travel through a metal when an electric field is applied, such as when the ends of a metal wire are connected to a potential difference. (a) Show that where a is the conductivity of the metal, n is the number density of the charge carriers, and q is the charge on each carrier. (Submit a file with a maximum size of 1 MB.) Choose File no file selected This answer has not been graded yet. (b) B = AVH is often written as AVH - R IB where R, is the Hall coefficient of the metal. Show that the following is true. (Submit a file with a maximum size of 1 MB.) Hyo -n (Choose File no file selected This answer has not been graded yet (c) The table below shows some measured values of Hall coefficients for some elemental materials. What is an average number…show that according to free electron model of electrical conduction in metals and classical physics , the resistivity of metals should be proportional to underoot T ,where T is temperature in kelvin.Problem 5: A nichrome rod of length LN 58 cm is connected in series (end to end) to a carbon rod of length Lc 8 cm. Both rods have cross-sectional areas of A 55 mm2. At T0 20° C the restístivity of nichrome is ρΝ-1.50 x 10-6 Ω-m and the resistivity of carbon is pc 3.50 x 10-5 Q-m. The temperature coefficient of nichrome is positive with value a-0.4 x 10-3 °C-1. The temperature coefficient of carbon is negative with a value ac--0.5 x 10-3 °c1. The nonlinear dependence of the resistivity on temperature T can be written as ρ ea(T-To) .odu @ theexpertta.com - tracking id: 2N74-2F-82-4A-BAAB-13167. In accordance with Expert TA's Terms of Service. copying this information to any solutions sharing website is strictly forbidden. Doing so may result in termination of your Expert TA Account. A Part (a) Write an expression for the total resistance of the nichrome-carbon combination as a function of temperature in terms of quantities given in the introduction. Simplify your answer as much as…
- Qʻ: Calculate the drift velocity and mean free path of copper when it carries a steady current of 10 amperes and whose radius is 0.08 cm. Assume that the mean thermal velocity 1.6 x 10° m/s and the resistivity of copper 2 x 10° mCopper has a density of 8.96 x 10³ kg/m³ and a resistivity of 1.70 x 10-³ 2-m. a) On the basis of the classical free-electron gas model, assuming that each Cu atom contributes one electron to the electron gas, calculate the average time between collisions of the electrons. b) Calculate the mean free path from the mean free time and the electron's thermal velocity. c) How does the mean free path compare with the spacing between atoms in the lattice of Cu?A conductive wire has a conductivity of ( 0.649 × 10^-8) at room temperature are ( 5.8 x 1028) conduction electron/m.calculate the mobility,resistivity and relaxation time of electrons
- A wire with a radius of 2.22mm is made of a conducting material that has an atomic mass of 72.0 grams/mole and a mass density of 6.17x103 kg/m3. You can assume that each atom of the material has one free electron associated with it. What is the drift speed vd in a 19.3 cm long section of wire that is carrying 664 Amps? Assume 3 significant digits and units of mm/s.In a normal conductor heat is generated at a rate I 2R. Therefore a current-carrying conductor must dissipate heat effectively or it can melt or overheat the device in which it is used. Consider a long cylindrical copper wire (resistivity 1.72x 10-8 Ω*m) of diameter 0.75 mm. If the wire can dissipate 80 W/m2 along its surface, what is the maximum current this wire can carry?A busbar made out of copper has a length of 12 inches. Its surface dimension is 1 cm by 1 cm. If the material has free electron of 10^24 per cubic meter calculate the voltage magnitude in the material when a current of of 0.2 A produces mean time of collisions between electrons of 2.48 x 10 ^-14 seconds. (note: the mass of electron is 9.11 x 10^-31 kg). Your answer
- Q*: Calculate the drift velocity and mean free path of copper when it carries a steady current of 10 amperes and whose radius is 0.08 cm. Assume that the mean thermal velocity 1.6 x 10° m/s and the resistivity of copper 2 x 10 mProblem 5: Copper wire has a resistivity p = 1.7 x 10-8 2 m when at 20°C and it has a temperature coefficient a = 3.9 x 10-3 K-1. A solid cylinder of copper of length L = 75 cm and diameter D = 1.5 mm has one end held at T1 = 14°C and the other end is held at T2 = 240°C. The temperature increases linearly between the two ends of the cylinder. L T2 dx Part (a) Consider a thin slice of the copper cylinder of thickness dx that is located a distance x from the left end of the cylinder. Write an equation for the temperature of this slice in terms of the variables x, L, T1, and T2. Expression : T = Select from the variables below to write your expression. Note that all variables may not be required. a, B, 0, d, g, h, j, k, L, m, P, t, T1, T2, x Part (b) Determine the total resistance in milliohms. Numeric : A numeric value is expected and not an expression. R =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 ?