A straight, cylindrical wire lying along the x axis has a length L and a diameter d. It is made of a material described by Ohm’s law with a resistivity ρ. Assume potential V is maintained at the left end of the wire at x = 0. Also assume the potential is zero at x = L. In terms of L, d, V, ρ, and physical constants, derive expressions for (a) the magnitude and direction of the electric field in the wire, (b) the resistance of the wire, (c) the magnitude and direction of the electric current in the wire, and (d) the current density in the wire. (e) Show that E = ρJ.

Q: A 1.50 m cylindrical rod of diameter 0.500 cm is connected to a power supply that maintains a…

A: (a) Resistivityof rod  at 20° = 1.05× 10^-5ohm /m (b) Temperature coefficient of resistivity at 20°C…

Q: A rod of semiconducting material of Length L=5 m and cross-sectional area A=3 mm2 lies along the…

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Q: A rod of semiconducting material of length L = 6m and cross-sectional area A = 5 mm2 lies along the…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub- parts for…

Q: Determine the drift speed if given a cylindrical conductor of radius 1.50 mm with current density…

A: Drift velocity v is given as v= dA/ne ,where n is the electron density, d is the current density and…

Q: A copper wire of radius a = 0.161 mm has an aluminum jacket of outer radius b = 0.224 mm. There is a…

A: Data Given ,  Inner Radius of the wire ( a ) = 0.161 mm = 0.161 × 10-3 m Outer Radius of wire ( b )…

Q: A copper wire has a cross sectional area A1 = 10-6m² and has a density of charge carriers of 1029…

A: The resistance of a conductor is given by: R = ρLA where, ρ is the resistivity of the conductor, L…

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: metal object having a length (10m), cross section area (0.5 mm2), and resistance (0.52) is connected…

A: Temperature , room temperature , T = 298 K To find = Thermal velocity

Q: An independent and constant current source is supplying 0.6 ampere to a uniform copper conductor…

A: Solution:-  1) The drift velocity of electrons inside a conductor, is given by vd = i /( A*n*e)…

Q: (!) THE FOLLOWING QUESTIONS ARE BASED ON THE INFORMATION GIVEN HERE. A rod of semiconducting…

A:

Q: A straight, cylindrical wire lying along the x axis has a length of 0.500 m and a diameter of 0.200…

A: *We'll answer only the first three sub-parts since the sub-parts to be answered were not specified.…

Q: a rod of semiconducting meterial of length L = 3m and cross-sectioanal area A=2.5mm2 lies along the…

A: The resistance of the material is  R=ρLA…

Q: The strain in a wire can be monitored and computed by measuring the resistance of the wire. Let Li…

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Q: Consider two coaxial conducting spheres of radii a and b = 2a. Filled with a conductive material…

A: Given  P = p0(1+r/a) And  R = p*L/A

Q: Given a cylindrical conductor of radius 1.50 mm with current density 2.50A/m^2 and free-electron…

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Q: The Figure shows wire section 1 of diameter D1 = 4.00R and wire section 2 of diameter D2 = 2.00R,…

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Q: A potential difference of 3.00 nV is set up across a 2.00 cm length of copper wire that has a radius…

A:

Q: (a) The current flowing in a resistor is given by i(t)=(t-1)^2A. Knowing that i(t)=(dq(t))/(dt) find…

A: Current flowing through the resistor changes with time according to the equation; i(t)=t-12 A

Q: A wire with a resistance of 6.0 is drawn out through a die so that its new length is three times its…

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Q: d from the power supply and is connected to a resistor with a value of 250 Ω. Find how long does it…

A: Given:- The capacitor having a value of  C = 50.0 µF = 50 x 10-6 F  The voltage V = 40 V  After a…

Q: A rod of semiconducting material of length L = 10 m and cross-sectional area A = 4.5 mm² lies along…

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Q: A coaxial cable consists of two concentric cylindrical conductors. The region between the conductors…

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Q: Consider a copper wire with a diameter of 2.55 mm. (a) What is the drift speed of the electrons in…

A: Diameter of copper wire d=2.55 mm (radius r=1.275 mm), current I=15 A, density of copper is 8.92…

Q: Consider a copper wire with a diameter of 2.75 mm. A. What is the drift speed of the electrons in…

A:

Q: In the circuit shown, 3 Ω a www 5 Ω h V+ g b + 7 V 4 V + f C 2V + d 6Ω www 4Ω e Determine the…

A: R1 = 5 ohm R2 = 3 ohm R3 = 4 ohm R4 = 6 ohm V1 = 7 V V2 = 2 V V3 = 4 V V4 = 6 V

Q: A rod of semiconducting material of lenght L=3 m and cross-sectional area A=4.5 mm^2 lies along the…

A: Ohm's law states that the current flowing through a conductor is directly proportional to the…

Q: A straight, cylindrical wire lying along the x axis has a length of 0.500 m and a diameter of 0.200…

A: Give data: The length of the wire is, L=0.5 m The diameter of the wire is, D=0.2 mm The resistivity…

Q: A rod of semiconducting material of length L = 10 m and cross-sectional area A = 4.5 mm² lies along…

A: Write a given values of this question. L=10mA=4.5mm2=4.5×10-6m2ρ∘=5×10-4Ω.mV∘=30V

Q: A rod of semiconducting material of length L = 4 m and cross-sectional area A = 3.5 mm² lies along…

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Q: A metallic conductor has a resistivity of 2 x10-6 Qm. What is the resistance of a piece that is 40 m…

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Q: A copper wire of cross-sectional area 1.40 mm² has a current of 3.90 A flowing along its length.…

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Q: () THE FOLLOWING QUESTIONS ARE BASED ON THE INFORMATION GIVEN HERE. A rod of semiconducting material…

A:

Q: the initial charge on the capacitor, (b) the initial current through the 200 Ω resistor, (c) the…

A:

Q: A copper wire has a cross sectional area A1=10 °m and has a density of charge carriers of 102'…

A:

Q: A rod of semiconducting material of length L = 4 m and cross-sectional area A = 3.5 mm2 lies along…

A: The given values are, L=4 mA=3.5 mm2ρ=ρ01-x2L2ρ0=3×10-3 Ω·mVo=15 V

Q: () THE FOLLOWING QUESTIONS ARE BASED ON THE INFORMATION GIVEN HERE. A rod of semiconducting material…

A:

Q: A straight, cylindrical wire lying along the x axis has a length of 0.854 m and a diameter of 0.78…

A:

Q: (!) THE FOLLOWING QUESTIONS ARE BASED ON THE INFORMATION GIVEN HERE. A rod of semiconducting…

A: Length , L = 4 m Cross section area, A = 3.5 X 10-6 m2 Resistivity,          ρ = ρ0 LA ( 1 - x2L2)…

Q: A rod of semiconducting material of length L the x-axis between a = 7 m and cross-sectional area A =…

A: Given: Length, L=7 m Area, A=2.5 mm2 Resistivity,ρ=ρo1-x2L2 ρo=2.5×10-4 Ω.m Potential at x=0, Vo=40…

Q: Consider a resistor in the form of a cylindrical wire of length L, radius r and resistance R. If the…

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Q: The figure gives the electric potential V(x) along a copper wire carrying uniform current, from a…

A: The resistance of a wire of length L, cross-section area A, and resistivity ρ is given by, R=ρLA The…

Q: A cylindrical wire is made from a material having a resistivity of 1.6 x 10* om ; it has a length of…

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Q: A 100km long high voltage transmission line that uses an unknown material has a diameter of 3 cm and…

A: Given, Length of the transmission line (L) = 100 km =100×103 m. Diameter of the transmission line…

Q: A rod of semiconducting material of length L = 10 m and cross-sectional area A = 4.5 mm² lies along…

A:

Q: A straight, cylindrical wire lying along the x axis has a length of 0.72 m and a diameter of 0.78…

A: Given  Length of wire , L =0.72 m Diameter of wire , d =0.78 mm = 0.78 x 10-3 m Resistivity of wire…

Q: A rod of semiconducting material of length L = 4 m and cross-sectional area A = 3.5 mm2 lies along…

A: Given, L=4m A=3.5 mm2 V0=15+VL

Q: A silver wire of radius r= 0.5 mm and resistance 0.06 Q is connected to a voltage source of 4.6 mV.…

A: Given, Radius r = 0.5 mm = 0.005 m Resistance R = 0.06 Ω Voltage V = 4.6 mV = 4.6 x 10-3 V density…

Q: ing Two resistors, R1 = 2.57 Q and R2 = 5.81 Q, are connected in series to a battery with an EMF of…

A: Given: R1=2.57 ΩR2=5.81 Ω The emf of the battery is 24 V.

Resistivity

Resistivity is a characteristic property of the conductor’s material that measures the extent to which the material opposes the flow of current. It is denoted by the Greek letter “rho”. Electrical resistivity, also known as specific resistance, depends on the nature of the material of the conductor and is unaffected by its dimensions.