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 = 8t3 + 5t + 6, where t is in seconds. (a) What is the instantaneous current through the surface at t 0.900 s? (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 2.05 cm2 varies with time according to the equation q = 8t3 + 5t + 6, where t is in seconds. (a) What is the instantaneous current through the surface at t 0.900 s? (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

Related questions

Q: Consider a wire of a circular cross-section with a radius of R = 3.00 mm . The magnitude of the…

A: To find the current through the inner section of the wire from the center. Given:

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

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: The figure below represents a section of a circular conductor of nonuniform diameter carrying a…

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

Q: he quantity of charge q (in coulombs) that has passed through a surface of area 1.95 cm2 varies with…

Q: The quantity of charge (in Coulombs) that has passed through a surface of area 5cm? varies with time…

Q: Given that a current of I(t)= 12t²+4 (where t is in s) is flowing parallel to the axis of a…

Q: In the Bohr model of the hydrogen atom, an electron in the 2nd excited state moves at a speed of…

A: Given Speed of electron v = 5.48 x 105m/sRadius of the circular path r = 2.12 x 10-10 m

Q: The vector current density of a 3-meter-long and 3mm diameter conductor is given as 155630 A/m2.…

Q: 1. The quantity of charge q (in coulombs) that has passed a surface of area 2.00 cm² varies with…

A: Given: Surface area = 2.00 cm2 or 2 × 10-4 m2 q = 4t3 + 5t + 6 here t is in seconds. t = 1 s To…

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

A: Given : A = 2 cm2 q = 4t3 + 5t + 6 t = 2.00 s

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

Q: The vector current density of a 3-meter-long and 3mm diameter conductor is given as 155630 A/m?.…

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

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

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

A: current density is define as current per unit area

Q: A general relationship for the current density carried by electrons of density /I is J = qnv. where…

A: a) We know that current density(J) of electron is denoted as mentioned below. Where, q denotes…

Q: A 200-km-long high-voltage transmission line 2 cm in diameter carries a steady current of 1000 A. If…

Q: The quantity of charge through a conductor is modeled as Q(t)=(4.7)t4+(−1.2)t+(6.8) C What is the…

Q: The electric field of the material between two coaxial cables of radius 0.525 cm and 0.675 cm is…

A: The current density of the material is, J=σE Here, σ is the conductivity of the material and E is…

Q: The current density in the wires of an electrical machine is not to exceed 4,500 amperes per square…

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: A conductor carries a current that is decreasing exponentially with time. The current is modeled as…

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

Q: A beam contains 7.8 x 106 doubly charged positive ions per cubic centimeter, all of which are moving…

A: Given-: Velocity of charge (Vd)=7.3*10^5 m/s We know that magnitude of current density by the…

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: 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: The quantity of charge (in C) that has passed through a certain surface area varies with time…

A: Given: The quantity of charge is given as,

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

Q: In the Bohr model of the hydrogen atom, an electron in the 4th excited state moves at a speed of…

Q: The current through a 12-gauge wire is given as I(t) = (5.00 A) sin (2π60 Hz t) . What is the…

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

Q: The density and resistivity of a cubic metal of mass m=81 g are d=3 g/cm3 and ρ=1.5 x 10-8…

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

Q: A 411-km-long high-voltage transmission line 7.00 cm in diameter carries a steady current of 1,900…

A: For the high voltage transmision line following informations are given,Length: l=411kmDiameter:…

Q: A conductor carries a current that is decreasing exponentially with time. The current is modeled as…

A: Given: current equation: I=Ioe-t/τ where Io=3.00 A and τ=0.50 s

Q: R, ww R2 V,

Q: Consider a copper wire that is being used to deposit charge on a metal plate. Theamount of charge on…

A: We have to find how much electron current flows through the copper wire at 3.4 s?

Q: Given that a current of I(t)= 5t2+4 (where t is in s) is flowing parallel to the axis of a…

A: Given : Current=I(t)=5t2+4 t=5.9s Radius=r=0.2 mm=0.2x10-3 m Length=l=50 cm=0.5 m We have to find…

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

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: Consider a wire of a circular cross-section with a radius of R = 3.07 mm. The magnitude of the…

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 200-km-long high-voltage transmission line 2.9 cm in diameter carries a steady current of 1000 A.…

A: Given : L=200 km d=2.9 cm=0.029 m I=1000 An=8.5x1028 m-3

Q: An iron wire with cross-section 3.9 x 10-0 m2 carries current 180 A. Find the drift velocity Va, in…

A: Given: Area of cross section: A=3.9×10-6 [m2] Current: I=180 [A] Number of electrons per Iron atom:…

Q: A high-voltage copper transmission line with a diameter of 2.60 cm and a length of 100 km carries a…

A: Write the expression for the drift speed of electrons.

Question

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 = 8t3 + 5t + 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

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

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 + 3t + 6, where t is in seconds. (a) What is the instantaneous current through the surface at t = 1.10 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
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
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
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 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 )?
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?