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 the density of aluminum is 2.70 g/cm3 . The molar mass of aluminum 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.

Q: The number density of free electrons in a copper conductor estimated in Example 3.1 is 8.5 x 1028…

A: In the given question We have to determine the time taken by the electron to drift one end to other…

Q: An unknown wire in a circuit has a circular cross-section with diameter 3.8 mm. It carries a current…

A: 1. The density of the charge carriers in a conductor or material is given by n = I /(A*vd*q) Here,…

Q: current of I = 4.6 A is passing through a conductor with cross sectional area A = 3.5 × 10-4 m2. The…

A: Given  Current I = 4.6 A  Crosssectional area A =3.5 × 10-4 m2  Number density n =1.2 × 1027  m-3

Q: What current flows through a 2.45-cm-diameter rod of pure silicon that is 21.5 cm long, when 1.00 x…

A:

Q: The quantity of charge q (in coulombs) that has passed through a surface of area 1.90 cm² varies…

A:

Q: What current flows through a 2.45-cm-diameter rod of pure silicon that is 21.5 cm long, when 1.00 x…

A: Given: The diameter of the wire is 2.45 cm. The length of the wire is 21.5 cm. The potential…

Q: If a metallic wire of cross sectional area 4.0 x 10-6 m2 carries a current of 6.0 A and has a mobile…

A:

Q: What is the value of current if a 1000 C charge flows in a conductor over a period of 5 minutes?

A: Given that Charge q = 1000 C Time for flow t = 5 min

Q: A copper wire has a circular cross-section with a radius of1.25 mm. (a) If the wire carries a…

A: Given:Radius of the copper wire = 1.25 mm = 0.00125 mCurrent = 3.70 AFor Copper = n = 1.10x1029…

Q: A cylindrical conducting wire which is 342.57cm long, 85.39mm thick and resistivity of 3.13Ω.m,…

A: Given data:

Q: The quantity of charge q (in coulombs) that has passed through a surface of area 4.19 cm2 varies…

A: Recall     J=curent density=i/A    also i=dq/dt

Q: The density of free electrons in gold is 5.9 ×1028 m3. If a gold wire with diameter d = 5.0 mm…

A:

Q: Repeat the below example , but for a wire made of silver and given there is one free electron per…

A: Given: The diameter of the copper wire is 2.053 mm. The current in the copper wire is 20.0 A. The…

Q: 13. Consider a square wire with side length 5 mm and conduc- tion electron density 6.0 × 1028 with…

A:

Q: 1.67 A flows in 18 gauge copper wire (ordinary household wire). The diameter of 18 gauge wire is…

A: We know that the formula  of the current is given as  I = neAVd where I is the current  e is the…

Q: A copper wire is r = 0.0250 cm in radius and 3.00 m in length, has resistivity ρ = 1.72x10^–8 Ωm,…

A:

Q: A 230-km-long high-voltage transmission line 2.00 cm in diameter carries a steady current of 1,060…

A: Given Transmission line length, L=230km=230000m Current, I=1060A Diameter , d=2cm Radius,…

Q: A conductor has a cross-sectional area of 2.3x106 m2 and the number of free electrons per unit…

A: 0.29 mm/s

Q: A copper wire has a circular cross section with a radius of 1.01 mm. HINT (a) If the wire carries a…

A:

Q: A copper wire has a circular cross section with a radius of 1.56 mm. HINT (a) If the wire carries a…

A:

Q: A current of 2.0 A is flowing in a typical extension cord of length 3.0 m. The cord is made of…

A: Given data: Current I=2.0A Length l=3.0m diameter d=1.50mm charge of an electron e=1.6×10-19C…

Q: What current flows through a 2.45-cm-diameter rod of pure silicon that is 21.5 cm long, when 1.00 x…

A:

Q: When a current flows in an aluminum wire of diameter 2.83 mm, the drift speed of the conduction…

A:

Q: A copper wire of 3mm diameter with conductivity of 6.7 * 10' (Q.m) , and electron mobility of 0.0064…

A:

Q: A copper wire has a circular cross section with a radius of 1.96 mm. HINT (0) If the wire carries a…

A: Given data Charge of an electron is q=1.60×10-19 C Density of mobile charge is n=1.10×1029…

Q: A 270-km-long high-voltage transmission line 2.00 cm in diameter carries a steady current of 1,150…

A: Given values: Length of the line, l=270 km Diameter of the line, d=2.00 cm Current, I=1150 A Free…

Q: What current flows through a 2.45-cm-diameter rod of pure silicon that is 21.5 cm long, when 1.00 x…

A: Ohms's Law: The current passing through a wire is directly proportional to the voltage applied…

Q: The quantity of charge q (in coulombs) that has passed through a surface of area 2.00 cm? varies…

A: (a) Instantaneous current through the surface

Q: An aluminum wire of radius 1.00 mm carries a current of 1.00 mA. The density of aluminum is…

A: Given value--- radius 1.00 mm. current of 1.00 mA. The density of aluminum is- 2.70x103kg/m3 . 1…

Q: Calculate the drift velocity (in m/s) of electrons in a 6 gauge copper wire (which has a diameter of…

A:

Q: An electron beam has a measured current of I = 54.30 µA with a radius of 2.00 mm. What is the…

A: The expression for current density is given by J = IA ..............................(1)whereJ =…

Q: What current flows through a 2.45-cm-diameter rod of pure silicon that is 21.5 cm long, when 1.00 x…

A:

Q: A 14-gauge copper wire has a diameter of 1.508 mm. What magnitude current flows in amperes when the…

A: Given data:  Diameter of copper wire (d) = 1.508 mm = 1.508 × 10-3 m Drift velocity (Vd) = 0.500…

Q: A copper wire that is 2.70 mm in radius with density 8.94 g/cm3 has a current of 6.10 A. The molar…

A:

Q: A conductor has a cross-sectional area of 2.3×106 m² and the number of free electrons per unit…

A: Option A is the right answer  A. 0.20 mm/s

Q: The quantity of charge q (in coulombs) that has passed through a surface of area 2.05 cm2 varies…

A:

Q: A 10-gauge copper wire has a cross-sectional area A = 5.26 mm2 and carries a current of I = 5.00 A .…

A: Given: The density of copper is ρ=89.5 g/cm3. The molar mass of copper is M=63.5 g. The cross…

Q: An aluminum wire having a cross-sectional area equal to 2.00 x 106 m2 carries a current of 3.50 A.…

A: Given: Cross sectional area A = 2.0×10-6 m2 Current in wire I = 3.5 A. Density of aluminum wire =…

Q: A 300-km-long high-voltage transmission line 2.0 cm in diameter carries a steady current of 1,240 A.…

A:

Q: 1.  If electricity costs 15 Bz per kilowatt-hour, how much does it cost to operate a 220 V…

A: Power of refrigerator = VxI = 220x1.3 = 286W Total energy consumption =286x24x30/1000 = 205.92 kWh…

Q: A 14-gauge copper wire has a diameter of 1.628 mm. What magnitude current flows when the drift…

A: The formula for the electron density of copper is:

Q: A gold wire of 0.500 mm diameter has 8.50 × 1028 conduction electrons per cubic meter. If the drift…

A: Given data:  Diameter (d) = 0.500 mm = 0.500×10-3 m Number of electrons per cubic meter (n) =…

Q: What current flows through a 2.74 cm diameter rod of pure silicon that is 25.0 cm long, when 1000 V…

A: Solution: Given data, resistivity of pure silicon(p)=2.30×10³ ohm.m Length of rod (l)=25cm=0.25m…

Q: copper wire has a square cross section 2.9 mm on a side. he wire is 4.1 m long and carries a current…

A: We know that current density is given by  J=I/A

Microscopic view of current

In physics, the term current is expressed as the rate of flow of electric charges across the area per unit time (I=q/t). It propagates along in the direction of the motion of positive charges. When the current is caused by the motion of electrons, the direction of the current is opposite to the flow.