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: A rod of length /=5 m and a square cros sectional area with side length of 1.5 cm is made of…
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Q: At what temperature will aluminum have a resistivity that is three times the resistivity of copper…
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Q: At what temperature will silver have a resistivity that is two times the resistivity of iron at room…
A: The resistivity of silver is calculated as, Rt = R0[1+α(T-T0)] Here, Rt is the resistivity…
Q: The Hall voltage for the metal sodium is 0.001 mV, measured at l=100mA, B=2Wb/m. And the thickness…
A: Given values: Hall voltage V = 0.001 mV Current I = 100 mA Magnetic field Bz = 2 Wb/m2 thickness d =…
Q: A 4.5 m length of copper wire at 25°C has a radius 0.30 mm. If a potential difference of 12.0V is…
A: Given Length of wire L=4.5 m radius r=0.30 ×10-3 m Potential difference V=12 V Initial temperature…
Q: A temperature-stable resistor is made by connecting a resistor made of silicon in series with one…
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Q: The resistance of a wire is given by R = Ro[1+ a(T – T.)] where T. - 20 °C, R. = 6 N ± 0.3 % is the…
A: Formula for resistance; Base temperature Resistance at base temperature Temperature coefficient…
Q: Consider a copper wire with a diameter of 2.45 mm. (a) What is the drift speed of the electrons in…
A: Given that: Diameter of copper wire = 2.45 mm, density of copper = 8.92 g/cm3 Molar mass of copper =…
Q: A conductor has a cross-sectional area of 2.3x 10-6 m and the number of free electrons per unit…
A: Drift speed is given by - Drift speed= current/(n × e ×A) Where, n=number density e=Electric…
Q: If you have several wires made from different Ohmic materials with different lengths L, different…
A: A linear relation can be obtained between the current and the resistivity using a fixed emf of the…
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: In Ohm's Law experiment, In order to measure the resistivity (at a given temperature) of an Ohmic…
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Q: A copper wire is 10 cm long and has a cross-sectional area of 0.4 mm^2 and the resistance of the…
A: Write the equation of Ohm’s law and substitute the required values to determine the value of…
Q: Calculate the mobility of electrons [cm²/V.sec.] of n-type material having resistivity of 0.5 22- m.…
A: Number of donor, n = 3×1019 /m³ Resistivity, ρ = 0.5 Ω-m Mobility, μ = ?
Q: A germanium wire is having a resistance of 170 and a radius of 27mm. The resistivity (p) of silver…
A: Given radius of wire r = 27mm = 0.027 m hence area of cross section A= pie *r2 . A=pie*0.0272…
Q: A copper wire has a circular cross section with a radius of 3.20 mm. (a) If the wire carries a…
A: (a) Expression for drift speed of electrons vd=InqA=Inqπr2=2.60 A8.46×1028 electronsm1.602×10-19…
Q: The 12-gauge copper wire in a typical residential buildinghas a cross-sectional area of 3.31 # 10$6…
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Q: A small but measurable current of 1.2 * 10-10 A exists in a copper wire whose diameter is 2.5 mm.The…
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Q: Q: The electron density increase along the x– axis as given (n=100+10®x+4 + 10“x² ) if diffusion…
A: The diffusion current can be said to be due to the movement caused by variation in carrier…
Q: The number of electrons per unit volume in gold is 6x10 e/m. The resistivity of gold is 2.5×10 *Am.…
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Q: A current flows in a wire of circular cross section with the free electrons travelling with drift…
A: Given data: Drift velocity = v New Current is same as original current Material is also same New…
Q: Calculate the specific conductivity of the conductor in Mega(Ωm)-1 since the current passing through…
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Q: A current of 5 A exists in a copper wire of length 50 m and diameter of 2.5 mm when applying a…
A: Given information: Here, I is the current in the copper wire, l is the copper wire’s length, d is…
Q: At what temperature will aluminum have a resistivity that is three times the resistivity copper has…
A: Given data The copper is placed at room temperature ∆t = 20°C. The mathematical formulation for the…
Q: A metallic wire with resistance 8Q, cross-sectional area 8.2x10 m, and conductivity a- 5.81x10 o'mis…
A: Write the expression for the current.
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: In an experiment, the following correspondence was found between temperature T (in °C) and…
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Q: IF a alloy containing a resistivity of 1.1 × 10−6 Ωm. From a roll of wire of 2 mm diameter, a length…
A: Given Resistivity ρ = 1.1 x 10-6 ohm.m Diameter D = 2 mm = 2 x10-3 m Length L = 1.5
Q: d) Show that the resistivity can be expressed (via the familiar notation) as, m p= ne't here m is…
A: d) Voltage =IR R= VI Force = eE Force = change in momentum = mvdτ mvdτ= eE Drift velocity(vd) =…
Q: drift speed
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Q: Wire section(1) of cross sectional area A1=3mm2 and wire section(2) of cross sectional area A2=7mm2…
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Q: By what factor is the resistance of a copper wire changed when its temperature is increased from…
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Q: iven that the density of aluminum is 2.7x10³ kg/m³ , find the drift speed of the conduction…
A: Given:- The density of the aluminum is 2.7 X 103 kg/m3 Current I= 10 A Cross- sectional area A=…
Q: At what temperature will silver have a resistivity that is 2% the resistivity of mercury if its…
A: Given, Coefficient of resistivity=9×10^-3 Initial temparature=20 degree Celsius
Q: A cylindrical resistor of length L, cross section area A and conductivity o is connected to battery…
A: Given: Length= L Cross section area=A Conductivity=σ Voltage=ε Current density=J Current=I
Q: A conductive wire has a conductivity of ( 0.649 x 10^-8) at room temperature are ( 5.8 x 1028)…
A: The mobility is μ=σne Here μ is mobility,σ is conductivity, n is electron density and e is…
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: A nichrome rod of length LN = 78 cm is connected in series (end to end) to a carbon rod of length LC…
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Q: The discharging current in the atmosphere due to the small conductivity of air is known to be 1800 A…
A: The discharging current in the atmosphere due to small conductivity of air is given to be 1800 A on…
Q: The electrical resistivity of copper (Cu) metal is po (T=20 °C) = 1.7 x 10* N•m at 20 °C. The…
A: The temperature dependence of the resistivity is given as,
Q: An electric eel develops a potential difference of 450 V, driving a current of 0.80 A for a 1.0 ms…
A: Given values: Potential difference, V=450 V Driving current, I=0.80 A Duration of pulse, t=1.0 ms
Q: R 2R be + 28 4R 3R a +
A: R = 1.20 kΩ ℰ = 470 V The magnitude and direction of the current in the horizontal wire between a…
Q: A metal wire of cross-sectional area 2.00x10-6 m² and length 4.0 m has a current of 25.0 A uniformly…
A: Write a given values of this question.
Q: What would happen to the temperature and the resistivity value of a wire if the current were very…
A: Now if the current in the wire would be too large a value :- If the current is too large, the heat…
Q: If the copper wire of an electromagnet has a resistance of 0.300 Ω when at room temperature (20 oC)…
A: Given: The resistance of the wire at a temperature of 20oC is 0.300 Ω. The final resistance of the…
Q: A small current of 1.5x 10 10 A exists in a copper wire whose radius is 1.0 mm. The number of charge…
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Q: Calculate the drift velocity and mean free path of copper when it carries a steady current of 10…
A: Given data: Current, I=10 A Radius, r=0.08 cm=0.8×10-3m Mean thermal velocity, vth=1.6×106m/s…
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…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…Copper 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?
- 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° mA 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.asap
- 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?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 mA 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
- : A conductive wire has a resistivity of (0.649x10-8(2.m)) at room temperature are (5.8x10- ) conduction electron/ms.Calculate the mobility, resistivity and relaxation time of electrons. Ql:Problem 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 =A block in the shape of a rectangular solid has a cross-sectional area of 4.00 cm^2 across its width, a front-to-rear length of 5.00 cm, and a material conductivity of 10^6 Ω x m^-1. The block’s material contains 5.00x10^22 conduction electrons/m^3. A potential difference of 35.0 V is maintained between its front and rear faces. Find: (a) the resistivity of the block material(b) the resistance of the block(c) the current through the block(d) the magnitude of the current density if it is uniform(e) the drift velocity of the conduction electrons (f) the magnitude of the electric field through the block