1. a) Find the electrical resistance of a 0.5 cm long, 22-gauge silver wire, if the electrical conductivity of silver is 6.15 x 107 (22-m)-¹ at 20° C. The diameter of 22-gauge wire is 0.6438 mm at this temperature. b) If a potential difference of 10.0 µV is established across the wire, find the current and current density in the wire. Current density is given by J = 1/A, where A is the cross-sectional area of the wire. c) Find the magnitude of the electric field in the sample, assuming it is constant.

1. a) Find the electrical resistance of a 0.5 cm long, 22-gauge silver wire, if the electrical conductivity of silver is 6.15 x 107 (22-m)-¹ at 20° C. The diameter of 22-gauge wire is 0.6438 mm at this temperature. b) If a potential difference of 10.0 µV is established across the wire, find the current and current density in the wire. Current density is given by J = 1/A, where A is the cross-sectional area of the wire. c) Find the magnitude of the electric field in the sample, assuming it is constant.

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter9: Current And Resistance

Section: Chapter Questions

Problem 81CP: A 10-gauge copper wire has a cross-sectional area A=5.26mm2 and carries a current of I=5.00A . The...

See similar textbooks

Similar questions

What current flows through a 2.54-cm-diameter rod of Pure silicon that is 20.0 cm long, when 1.00103 V is applied to it? (Such a rod may be used to make nuclear- particle detectors, for example.)
A 10-gauge copper wire has a cross-sectional area A=5.26mm2 and carries a current of I=5.00A . The adensity of copper is =89.50g/cm2 . One mole ofcopper atoms (6.021023atoms) has a mass ofapproximately 63.50 g. What is the magnitude of the drift velocity of the elections, assuming that each copper atom contributes one free electron to the current?
An aluminum wire 1.628 mm in diameter (14-gauge) carries a current of 3.00 amps, (a) What is the absolute value of the charge density in the wire? (b) What is the drift velocity of the electrons? (c) What would be the drift velocity if the same gauge copper were used instead of aluminum? The density of copper is 8.96 g/cm3 and thedensity of aluminum is 2.70 g/cm3. The molar mass ofaluminum is 26.98 g/mol and the molar mass of copper is 63.5 g/mol. Assume each atom of metal contributes one free electron.
The quantity of charge q (in coulombs) that has passed through a surface of area 2.00 cm2 varies with time according to the equation q = 4t3 + 5t + 6, where t is in seconds. (a) What is the instantaneous current through the surface at t = 1.00 s? (b) What is the value of the current density?
4 Dei U50. CTICE AND -- A wire 3.00 m long and 0.450 mm2 in cross-sectional area has a resistance of 38.8 Q at 20.0°C. If its resistance increases to 39.4 Q at 28.5°C, what is the temperature coefficient of resistivity?
QUESTION 5 The density of free electrons in gold is 5.9 ×1028 m¯³. If a gold wire with diameter d= 5.0 mm carries a current of 2.3 A, find the drift velocity (in µm/s) of the electrons in the wire. QUESTION 6 A toaster having a Nichrome heating element of initial resistance Ro is switched on at T= 20 °C. The temperature coefficient of Nichrome is 4.5×10¯“ °C¯' amd the operational temperature of the toaster's heating element is 220 °C. The toaster is rated at 0.71 kW at 240 V. Calculate the initial resistance Ro (in 2) of the heating element.
2) Resistivity is a property of a particular material and can be used to calculate the resistance of a sample. a) Provide an equation for calculating the resistivity of a material. b) Calculate the resistance of 50m roll of copper wire which has a cross sectional area of 5mm^2 if the resistivity of copper is 1.72 x 10^-8 ohm metres.
a current 2A flows in a copper wire over a length of 3 km and 1,1 mm.known copper conductivity is 5.8×10^7 A/V defined the voltage drop in the missing wires and electrical charge
True or false? no work needed
An 18-gauge copper wire with a diameter of 3-mm carries a constant current of 1.2-A. The charge concentration in the wire is 8.5 x 1028 per cubic meter. The cross-sectional area is 0.0000015-m2. Determine the resistance of a 100-m wire in milli-ohm. Use q = 1.602 x 10-19 and resistivity equal to 1.72x10-8 ohm-m.
فير A conductor has a cross-sectional area of 2.3x 10-6 m and the number of free electrons per unit volume is 8.5x 10- electron/m. When the current is 8.6 A, find the drift speed (in mm/s) of the electrons. Use the charge of the electron to be 1.6x 10-19 C. Select one: OA 0.19 OB. 27.49 CC.036 C0.36.09 CE.027 page
What is the resistivity of a wire if it is subiected to a 2.50 X 102 V/m electric field, and has a current density of 4.03X10-13 A/m2??