A rod of semiconducting material of length L 2 m and cross-sectional area A- 4.5 mm? lies along the x-axis between z0 and a- L The material obeys Ohm's law, and its resistivityvaries along the rod according to p= p(1where po4x 10 n m. The end of the rod at z=0 is at a potential V- 15 V greater than the end at z-LL2A) What is the total resistance, in units of fn, of the rod?

Answered: Image /qna-images/answer/a6c7fee4-de4f-4b71-a561-6da791589f9e.jpg

rod of semiconducting material of length L- 2 m and cross-sectional area A- 4.5 mm? lies along the x-axis between z- 0 and z- L The material obeys Ohm's law, and its resistivity mries along the rod according to p Po(1- where po-4x 10 n-m. The end of the rod at z-0 is at a potential V, - 15 V greater than the end at z- L ) What is the total resistance, in units of 1, of the rod?

rod of semiconducting material of length L- 2 m and cross-sectional area A- 4.5 mm? lies along the x-axis between z- 0 and z- L The material obeys Ohm's law, and its resistivity mries along the rod according to p Po(1- where po-4x 10 n-m. The end of the rod at z-0 is at a potential V, - 15 V greater than the end at z- L ) What is the total resistance, in units of 1, of the rod?

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 68PQ

See similar textbooks

Similar questions

Consider a power plant is located 60 km away from a residential area uses Q-gauge (A=42.40mm2) wire ofcopper to transmit power at a current of I = 100.00 A.How much more power is dissipated in the copper wires than it would be in superconducting wires?
An electronic device designed to operate at any temperature in the range from 10.0C to 55.0C contains pure carbon resistors. By what factor does their resistance increase over this range?
a rod of semiconducting meterial of length L = 3m and cross-sectioanal area A=2.5mm2 lies along the x axis between x=0 and x=L. the meterial obeys ohms law, and its resistivity varies along the rod according to p=p0(1-(x2/L2)) where p0=2.5 * 10-4 ohm*m. the end of the rod at x=0 is at a potential V0= 30 V greater than the end at x = L. a)what is the total resistance, in units of ohm, of the rod ? b)what is the current, in units of miliamperes in the rod? c)what is the electric potential, in units of Volt in the rod at x=L/2 ? d)what is the electric field magnitude E, in units of V/m, in the rod at x=L/2 ?
A rod of semiconducting material of lenght L=3 m and cross-sectional area A=4.5 mm^2 lies along the x-axis between x=0 and x=L. The material obeys ohm's law, and resistivity varies along the rod according to p=p0 (1-(x^2/L^2)) where p0= 4.10^-4 ohm.m. The end of the rod x=0 is at a potential V0=30V greater than the x=L. A) what is the total resistance, in units of ohm, of the rod? B) what is the current, in units of miliamperes, in the rod? C) what is the electric potential, in units of Volt, in the rod at x=L/2? D) what is the electic-field magnitude E, in units of V/m, in the rod at x=L/2?
Two wires have the same resistance and radius. If the wires are made of iron and gold with resistivities respectively of 10.0 ✕ 10−8 Ω · m and 2.44 ✕ 10−8 Ω · m, determine the ratio of their lengths. LFe LAu = ?
A metal object having a length (10m), cross section area (0.5 mm2), and resistance (0.52) is connected to a potential difference source of 5V at room temperature. If the density of free electrons equals (8×1025 electron/m³), Calculate the thermal velocity.
Physics . For a balanced Wheatstone bridge with L 2 = 33.3cm and L 3 = 66.7cm ; What will be the unknown resistor value in ohms R x if R 1=250 ohms?
A block of weakly-conducting material with conductivity sigma has two pieces of metalembedded inside, which form a capacitor with capacitance C.(a) Find the resistance R between the two pieces of metal.(b) At t = 0, the two pieces of metal have a potential difference V0, and at future times t not equal to 0the potential is V (t) = V0e-t/TFind T
Two wires have the same resistance and radius. If the wires are made of silver and iron with resistivities respectively of 1.59 ✕ 10−8 Ω · m and 10.0 ✕ 10−8 Ω · m, determine the ratio of their lengths. LAg LFe =
A copper wire of 3.2 mm in diameter and 4 m length carries a certain amount of current. The conductionelectron density in copper is 8.49x1028 electrons/m3. A 75.0-Ω resistor is connected with the copper wireto the terminals of a battery whose emf is 11.0 V and whose internal resistance is 0.8 Ω. Calculate (a) thecurrent in the circuit, (b) the current density in the wire, (c) the terminal voltage of the battery, Vab, and (d)the power dissipated in the resistor R, (e) the power dissipated in the battery’s internal resistance r, (f) the resistivity of the wire, (g) the drift velocity of the free electrons, and (h) Estimate the rms speed ofelectrons assuming they behave like an ideal gas at 20°C. Assume that one electron per Cu atom is free tomove (the others remain bound to the atom).
A straight, cylindrical wire lying along the x axis has a length of 0.500 m and a diameter of 0.200 mm. It is made of a material described by Ohm’s law with a resistivity of ρ = 4.00 x 10-8 Ω ⋅ m. Assume a potential of 4.00 V is maintained at the left end of the wire at x = 0. Also assume V = 0 at x = 0.500 m. Find (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.
A nichrome rod of length LN = 78 cm is connected in series (end to end) to a carbon rod of length LC = 5 cm. Both rods have cross-sectional areas of A = 85 mm2. At T0 = 20° C the restistivity of nichrome is ρN = 1.50 × 10-6 Ω⋅m and the resistivity of carbon is ρC = 3.50 × 10-5 Ω⋅m. The temperature coefficient of nichrome is positive with value αN = 0.4 × 10-3 °C-1. The temperature coefficient of carbon is negative with a value αC = -0.5 × 10-3 °C-1. The nonlinear dependence of the resistivity on temperature T can be written as ρ = ρ0eα(T-T0). 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 possible. B) Calculate the temperature in degrees Celsius for which the resistance of the carbon-nichrome combination will be a minimum C) Calculate the value of the minimum resistance, in ohms.