An aluminium rod with square cross section is 1.3 m long and 3.8 mm on edge(i) What is the resistance between its ends? The resistivity of aluminium is 2.75 * 10-8 2.m.(ii) What must be the diameter of a cylindrical copper rod of length 1.3 m if its resistance is to be the same as that of the aluminium rod? The resistivity of copper is 1.69 * 10-8Q.m.(iii) Calculate the current (in A) and the current density (in A/m^2) of the cylindrical copper if the potential drop across the ends of the wire is 0.060 V.Select one:a. (i) 3.27 x 10-3 0(ii) 8.14 x 10-3 m(iii) I= 18.3 A and J=2.64 x 106 A/m2b. (i) 2.50 x 10-3 2(ii) 3.4 x 10-3 m(iii) l= 24 A and J=2.64 x 106 A/m2c. (i) 2.50 x 10-3(i) 3.4 x 10-3 m(iii) l= 24 A and J=2.08 × 106 A/m2d. (i) 3.27 x 10-3(ii) 15.3 x 10-3 m (iii) l= 18.3 A and J=1 x 105 A/m2

(given) Length (L) of the rod = 1.3 m l = 3.8 mm = 3.8 × 10-3 m…

An aluminium rod with square cross section is 1.3 m long and 3.8 mm on edge ) What is the resistance between its ends? The resistivity of aluminium is 2.75 * 10-8 2.m. (ii) What must be the diameter of a cylindrical copper rod of length 1.3 m if its resistance is to be the same as that of the aluminium rod? The resistivity of copper is 1.69 * 10-8 Ω.m. (iii) Calculate the current (in A) and the current density (in A/m^2) of the cylindrical copper if the potential drop across the ends of the wire is 0.060 V.

An aluminium rod with square cross section is 1.3 m long and 3.8 mm on edge ) What is the resistance between its ends? The resistivity of aluminium is 2.75 * 10-8 2.m. (ii) What must be the diameter of a cylindrical copper rod of length 1.3 m if its resistance is to be the same as that of the aluminium rod? The resistivity of copper is 1.69 * 10-8 Ω.m. (iii) Calculate the current (in A) and the current density (in A/m^2) of the cylindrical copper if the potential drop across the ends of the wire is 0.060 V.

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter10: Direct-current Circuits

Section: Chapter Questions

Problem 25P: A 12.0-V emf automobile battery has a terminal voltage of 16.0 V when being charged by a current of...

See similar textbooks

Similar questions

Explain why R=R0(1 + a?T) for the temperature variation of the resistance R of an object is not as accurate as P=P0(1 + a?T) which gives the temperature variation of resistivity P.
When a straight wire is heated, its resistance changes according to the equation R = R0 [1 + (T T0)] (Eq. 17.7), where is the temperature coefficient of resistivity. (a) Show that a more precise result, which includes the length and area of a wire change when it is heated, is R=R0[1+(TT0)][1+(TT0)][1+2(TT0)] where is the coefficient of linear expansion. (See Topic 10.) (b) Compare the two results for a 2.00-m-long copper wire of radius 0.100 mm, starting at 20.0C and heated to 100.0C.
A 12.0-V emf automobile battery has a terminal voltage of 16.0 V when being charged by a current of 10.0 A. (a) What is the battery’s internal resistance? (b) What power is dissipated inside the battery? (c) At what rate (in °C/min ) will its temperature increase if its mass is 20.0 kg and it has a specific heat of 0.300 kcal/kg • °C, assuming no heat escapes?
An aluminum rod with a square cross section is 2.2 m long and 6.2 mm on edge. (a) What is the resistance between its ends? (b) What must be the diameter of a cylindrical copper rod of length 2.2 m if its resistance is to be the same as that of the aluminum rod? The resistivity of aluminum is 2.75 x 108 Q-m and the resistivity of copper is 1.69 × 10-8 Q-m. (a) Number Units (b) Number i Units
Copper has a work function of 4.70 eV, a resistivity of 1.7 x10-8 Ω ∙ m, and a temperature coefficient of 3.9 x10 -3 °C -1. Suppose you have a cylindrical wire of length 1.5 m and diameter 0.40 cm connected to a variable power source.a) Draw a clear physics diagram b) At what temperature would the wire have 2 times the resistance that it has at 20 °C?c) What is the peak wavelength of radiation emitted by a wire of thistemperature?d) If light at only the wavelength found above were shone onto a copper plate, what would be the maximum kinetic energy of the ejected electrons?
An aluminum rod with a square cross-section is 2.6 m long and 5.3 mm on edge. (a) What is the resistance between its ends? (b) What must be the diameter of a cylindrical copper rod of length 2.6 m if its resistance is to be the same as that of the aluminum rod? The resistivity of aluminum is 2.75 × 10-8 Ω·m and the resistivity of copper is 1.69 × 10-8 Ω·m.
What is the resistance of 10.0 m of no. 18 copper wire (diameter 0.40 in)? (The resistivity of copper is 1.68 x 108 Q-m.) O 0.00021 Q O 0.0012 Q O 0.0021 Q O 0.00012 Q hp W. HA
A 1 m long electrically conductive wire made of material X has electrical conductivity of 0.2x107(ohm-m)-1, and end-to-end resistance of 10 ohms. What is the diameter of the wire? 0.15 mm 0.20 mm 0.25 mm 0.30 mm
A special copper extension cord has length L = 5.25 m and rectangular cross-section given by width w = 0.500 cm and small length = 0.300 cm . Between the ends of the cord there is a voltage difference given by V+ - V- . The current I = 10.0 (A) . See diagram below . The copper resistivity ρ = 1.72x10 -8 ohm-m. (a) What is the voltage difference V+ - V-? Does your answer seem reasonable? Explain.(b) How much heat is generated (in Joules) in a time period of 3.00 minutes? (c) What is the magnitude E of the electric field in the extension cord?
A piece of wire has resistance of 1.25 2. The wire is made of a material with resistivity 8.2x10-7 Qm. What is the dimension of the wire? O Length = 10 m; diameter = 1.45 mm O Length = 10 m; diameter = 2.89 mm O Length 15 m; diameter = 3.14 mm = O Length = 15 m; diameter = 1.11 cm
What must be the diameter of a cylindrical 120-m long metal wire if itsresistance is to be 6.0Ω ? The resistivity of this metal is 1.68 × 10-8 Ω • m.A) 0.065 mmB) 0.65 mmC) 0.65 cmD) 0.325 mmE) 0.0325 mm
If the 0.130 mm diameter tungsten filament in a light bulb is to have a resistance of 0.100 Ω at 20.0°C, how long should it be? The resistivity of tungsten at 20.0°C is 5.60 10-8 Ω · m.