The quantity of charge q (in coulombs) that has passed through a surface of area 2.10 cm2 varies with time according to the equation q = 4t3 + 3t + 6, where t is in seconds. (a) What is the instantaneous current through the surface at t = 0.950 s? A (b) What is the value of the current density? kA/m2

The quantity of charge q (in coulombs) that has passed through a surface of area 2.10 cm2 varies with time according to the equation q = 4t3 + 3t + 6, where t is in seconds. (a) What is the instantaneous current through the surface at t = 0.950 s? A (b) What is the value of the current density? kA/m2

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter21: Current And Direct Current Circuits

Section: Chapter Questions

Problem 3P: The quantity of charge q (in coulombs) that has passed through a surface of area 2.00 cm2 varies...

See similar textbooks

Similar questions

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.
If the current carried by a conductor is doubled, what happens to (a) the charge carrier density, (b) the current density, (c) the electron drift velocity, and (d) the average time interval between collisions?
A conductor carries a current that is decreasing exponentially with time. The current is modeled as I=I0et/ , where I0= 3.00 A is the current at timet = 0.00 s and =0.50 s is the time constant. How much charge flows through the conductor between t = 0.00 s and =3 ?
The quantity of charge q (in coulombs) that has passed through a surface of area 2.05 cm2 varies with time according to the equation q = 4t3 + 6t + 6, where t is in seconds. (a) What is the instantaneous current through the surface at t = 0.900 s? A (b) What is the value of the current density? KA/m2
The quantity of charge Q that has passed through a surface of area 6.00 mm2 varies with time according to the equation Q = 2t2 + 10, where t is in seconds. What is the instantaneous current through the surface at t = 2.6 s?
ostro Imssb1.mutah.edu.jo/r A conductor has a cross-sectional area of 2.3x 10-6 m2 and the number of free electrons per unit volume is 8.5x 1028 electron/m. When the current is 9 A, find the drift speed (in mm/s) of the electrons. Use the charge of the electron to be 1.6x 10-19 C
28 1 6.0 x 10 m3 1. Consider a cylindrical wire that has conduction electron density and radius 0.5 mm. An electric field with strength 7.5 x 10-4 creates a current of 4.8 x 10 electrons per second. a) What is the average drift speed for an electron? (include units) b) What is the average time in between electron collisions? fs (express your answer in femtoseconds)
The quantity of charge q (Coulomb) passing through a surface of area 5 cm changing with time as q = 4t + 5t + 6 (t is in units of seconds). Find the current density at t 4 s. a) J = 8,50 x 104 A/m2 b) J = 1,77 x 105 A/m2 c)J = 2,83 x 10S A/m2 d) J = 3,94 x 10$ A/m2 e)/ = 5,08 x 10s A/m2
The quantity of charge q (in coulombs) that has passed through a surface of area 2 cm² varies with time according to the equation q=2t³+4t-6, where t is in seconds. What is the value of the current density (A/m²) at t =8.0 s
A 200-km-long high-voltage transmission line 2.9 cm in diameter carries a steady current of 1000 A. If the conductor is copper with a free charge density of 8.50×1028 electrons per cubic meter, what is the drift velocity (in µm/s) of the electrons?
A conductor has a cross-sectional area of 2.3x 10P m and the number of free electrons per unit volume is 8.5x 1028 electron/m³. When the current is 6.1 A, find the drift speed (in mm/s) of the electrons. Use the charge of the electron to be 1.6x1019 C. Select one: OA 0.26 OB. 25.60 OC.0.13 OD. 19.50 OE 0.20
The diameter of the copper wire is h=1.3 mm . It carries 2.68 A constant current. There are 8.5×1028 free electrons in copper per cubic meter. What is the cross-sectional area of the wire (μm2 )?