Problem 21:   An unknown wire in a circuit has a circular cross-section with diameter 1.3 mm. It carries a current of 7.6 mA. Part (a)  What is the current density, in milliamperes per square centimeter, in this wire?   Part (b)  If you assume the drift velocity in this wire is 1 × 10-2 cm/s, what is the density of charge carries per cubic centimeter?  Part (c)  If the conductivity in this wire is 5.5 × 106 Ω-1 m-1, what is the average time between collisions, in nanoseconds?

Q: A copper wire has a diameter of 2.072 mm. What magnitude current flows when the drift velocity is…

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

A: Area of the surface is A = 2.05 cm2 The equation of charge is q = 8t3-5t+6 Time of flow is t = 0.900…

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

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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…

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Q: Given that a current of I(t)= 13t2+4 (wheret is in s) is flowing parallel to the axis of a…

A: Data Given ,  I(t) = 13t2 + 4 ( where , t is in s ) Radius of the cylinder ( r ) = 0.4 mm…

Q: The quantity of charge q (in coulombs) that has passed through a surface of area 2.10 cm2 varies…

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Q: A typical wire for laboratory experiments is made of copper and has a radius 0.815 mm. Calculate the…

A: Given:  radius, r = 0.815 mm  Current, i = 1 A density of copper, d = 8.93 g/cm3  m = 63.5 g/mol

Q: A 5.50 m length of 1.9 mm -diameter wire carries a 780 mA current when 23.0 mV is applied to its…

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Q: The magnitude J of the current density in a certain wire with a circular cross section of radius…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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: Calculate the drift velocity of electrons in a 14-gauge silver wire (which has a diameter of 1.628…

A: Formula for drift velocity (vd) is vd=IneA where I is the current, given I = 15 A e is the charge of…

Q: The quantity of charge through a conductor is modeled as Q = 4.00 C/s4t4 − 1.00Cs/t + 6.00 mC . What…

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Q: A copper wire has a diameter of 2.222 mm. What magnitude current flows when the drift velocity is…

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

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Q: A copper wire has a diameter of 2.022 mm. What magnitude current flows when the drift velocity is…

A: Given that---- Diameter = 2.022mm Drift velocity = 1.44 m/s Density of copper = 8.92*103 kg/m3…

Q: In the United States, the National ElectricCode sets standards for maximum safe currents in…

A: Let the safe current be I, the resistance of the wire be R, and the length of the wire be L. a) For…

Q: A copper wire is 2.50 m long and has a diameter of 2.5 mm. How much current will it draw when…

A: Given: Diameter of wire d = 2.5 mm = 2.5*10-3 m length of wire l = 2.50 m voltage across wire V =…

Q: Suppose 1.67 C of charge passes through the filament of a light bulb in 2.00 seconds. How many…

A: Given data: The magnitude of the charges is, Q=1.67 C Time for which charges passing through the…

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

A: a) The instantaneous current (I) through the surface is the rate of change of charge (q) with time…

Q: A copper wire has a diameter of 1.822 mm. What magnitude current flows when the drift velocity is…

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Q: A coil of Nichrome wire is 25.0 m long. The wire has a diameter of 0.400 mm and is at 20.0°C. If it…

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Q: An aluminum wire having a cross-sectional area equal to 2.00 x 10-6 m² carries a current of 7.00 A.…

A: No no n no

Q: A car battery provides a current of 600.0 A for 2.48 s. Determine the charge provided by the…

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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: An 18 gauge copper wire(the size usually used for lamp cords), with a diameter of 1.02 mm, carries a…

A: Given data: Diameter (d) = 1.02 mm = 1.02 × 10-3 m Current (I) = 1.67 A Free electron density (n) =…

Q: How long does it take electrons to get from a car battery to the starting motor? Assume the current…

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Q: How long must a 0.68-mm-diameter aluminum wire be to have a 0.58 A current when connected to the…

A: diameter (d) = 0.68 mm current (I) = 0.58 A V = 1.5 volts

Q: The time variation of the charge passing by a conductor is given by g(t)=21+2t, where q is given in…

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Q: A wire is 3 meters long with a cross-sectional are of 4.50 x 10-6 m2. An electrician experienced a…

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Q: The time variation of the charge passing by a conductor is given by q(t)=21+2t, where q is given in…

A: Solution

Q: Calculate the drift velocity of electrons inside an aluminum wire that has a diameter of 2.053 mm…

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Q: The quantity of charge q (in coulombs) that has passed through a surface of area 2.00 cm2 varies…

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Q: If a current of 80.0 mA exists in a metal wire, how many electrons flow past a given cross section…

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Q: The quantity of charge q (in coulombs) that has passed through a surface of area 1.96 cm2 varies…

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

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Q: The density of free electrons in a cylindrical metal wire is 7x1048 m. The diameter d-12.23 mm and…

A: density of free electrons= 7 x 1028 m-3 Diameter of wire= 12.23 mm   , r= 0.6115 cm or 0.6115 x…

Q: A copper wire has a diameter of 1.972 mm. What magnitude current flows when the drift velocity is…

A: In this question we have to find the current in the wire. Please give positive feedback if the…

Q: A beam contains 2.0 × 109 doubly charged positive ions per cubic centimeter, all of which are moving…

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Q: A high voltage transmission line of diameter 3.73 cm and length 3.76189 km carries a steady current…

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Q: Copper has 8.5×1028 electrons per cubic meter. How many electrons are there in a 50.0 cm length of…

A: Answer:-  Given  Electron density of Copper (n) = 8.5 × 1028  electrons per cubic meter.  Length of…

Q: T A 2.0 × 10²-km-long high-voltage transmission line 2.0 cm in diameter carries a steady current of…

A: The drift speed of the electrons can be calculated by , I = nqvdA, n = 8.5 x 1028  / m3 , q = 1.6 x…

Q: Given the following expression for the current i (t) Where, Io 4 A and tı 3 s. Assume that the…

A: Step-1:To determine: The value of charge at time t = 3.5 s.Given information:  The expression of…

Q: An aluminum wire having a cross-sectional area equal to 3.00 x 10-6 m² carries a current of 3.00 A.…

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Q: The quantity of charge q (in coulombs) that has passed through a surface of area 2.10 cm² varies…

A: Write the given values with the suitable variables. A=2.10 cm2=2.10×10-4 m2q=4t3+5t+6t=0.9 s Here,…

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: The figure shows two connected wires that are made of the same material. The current entering the…

A: Given, R1=1mm R2=2mm V1=Vo V2 is to find

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.