The current in a wire varies with time t according to the relation: I(t) = 6+3t2. where the current I in Ampere and time t in seconds. How many %3D coulombs of charge pass a cross-section of the wire in the time interval between t = 0 and t = 6s? %3D *Write only the value without unit

The current in a wire varies with time t according to the relation: I(t) = 6+3t2. where the current I in Ampere and time t in seconds. How many %3D coulombs of charge pass a cross-section of the wire in the time interval between t = 0 and t = 6s? %3D *Write only the value without unit

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: Consider three spools of wire of the exact same material. Spool 1 and 2 have the same cross-…

Q: Consider a portion of a cell membrane that has thickness of 7.50 nm and 1.3 um x 1.3 um in area. A…

A: Given: Thickness, t=7.50 nm Dimension = 1.3 μm × 1.3 μm Potential difference V= 92.6 V Resistivity…

Q: 1. A hollow cylinder of length L, inner radius R1 , and radius R3 is filled with two different…

A: (a)Formula for the resistance is:

Q: In a given fluid, positive ions, each with 2 excess protons, move to the right at a steady rate of…

A: given fluid, positive ions, each with 2 excess protons, move to the right at a steady rate of 1.3 ×…

Q: A conducting sphere of radius a = 50 cm is grounded with a resistor R = 152 as shown below. The…

Q: What is the drift speed?

A: Given: Electric field is E=1.7×10-3 V/m Current in wire is I=3.5×1017 elec/s Diameter of wire is…

Q: An aluminum wire with a diameter of 0.095 mm has a uniform electric field of 0.215 V/m imposed along…

Q: a) The amount of charge that passes through a copper wire in 5.4 s is 2.37 C. Find the current in…

Q: Two wires have the same resistance and radius. If the wires are made of platinum and copper with…

A: The expression for the required ratio of the lengths is,

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…

Q: An electrolyte contains equal numbers of positive and negative ions in solution. When an electric…

A: To determine: To explain about the electrolyte containing equal number of ions when electric field…

Q: The current in a wire varies with time t according to the relation: I(t) = 3+3t². where the current…

Q: In a wire with a 2.01 mm² cross-sectional area, 8.49 × 1020 electrons flow past any point during…

A: Each electron carries a certain amount of charge. So to solve the problem, we will first find…

Q: '3 Find the current through R1 = 29 kN and = 20 k2 from the figure given. Here E, = 9 V R2 %3D and…

A: R1 = 29000 ohm R2 = 20000 ohm E1 = 9 volts E2 = 14 volts Let the current through R1 = I1 , upwards…

Q: deposited on the hegative electr the cell during thát period? Asume 0.1582 Your response differs…

Q: -a-Two wires have the same diameter and same resistance. If one is made of silver and the other is…

A: Here question a and b are not inter-connected. Hence this is a multiple type question and in this…

Q: A 14-gauge copper wire has a diameter of 1.88 mm. (a) What magnitude current flows when the drift…

A: a) Calculate the cross-sectional area of the wire. A=π4d2A=π4(1.88 mm×1 m1000 mm)2A=2.776×10−6 m2

Q: In cylindirical conductor of radius 2 mm and length 2 m, the current density is non-uniform and is…

A: Given: The radius of the cylinder is 2 mm. The length of the cylinder is 2 m. To…

Q: The resistance of a 15 cm length aluminum cylinder is 2,5 x 10-5 0. If the resistivity of aluminum e…

A: Given that: The length of aluminum cylinder l =15 cm The resistivity of the aluminum cylinder,…

Q: - C are 2.0 x 10-6 n·m and 1.00 wires are joined as shown in the F

Q: The current in a wire varies with time t according to the relation: I(t) = 6+3t2. where the current…

Q: A 0.870-mm-diameter silver wire carries a 30.0 mA current.

A: Given data: The diameter of the wire d=0.870 mm=0.870×10-3 m The current I=30.0 mA=30.0×10-3 m

Q: A capacitor with a charge of 5 micro coulombs has its terminals shorted by a metal wire so that the…

Q: A conductor has a free charge density of 1029 electrons per cubic meter, and the resistivity of p =…

A: Given Data: Free charge density (n) = 1029/m3.Resistivity (ρ) = 2.0×10-8 Ω.m.Drift velocity (vd) =…

Q: An electrical conductor designed to carry large currents has a circular cross section 2.40 mm in…

A: Given: The diameter of the wire is 2.40 mm or 2.40×10-3 m. The length of the wire is 14.8…

Q: A 0.870-mm-diameter silver wire carries a 30.0 mA current. Part A What is the electric field in the…

Q: A ΔV = 2.3 V battery loses E = 5.5 J of energy each day (t = 24 hrs) powering a cell phone. a)…

A: ΔV = 2.3 V E = 5.5 J t = 24 hours

Q: The mean time between collisions in iron is 4.8x10-15 s. Part A What electron current is driven…

A: Given:- The mean time between the collision in iron t= 4.8 x 10-15 Sec The diameter of the iron…

Q: Current 1. A silver wire 2.6 mm in diameter transfers a charge of 420 C in 80 min. Silver contains…

A: The current in the wire=The rate of charge flow The drift velocity, vd=IneA I is the current…

Q: An aluminum wire with a diameter of 0.095 mm has a uniform electric field of 0.215 V/m imposed along…

Q: The amount of charge flowing through a circuit varies with time according to... q(t) = 0.2t2, with…

A: q = 0.2*t2 So, current i = d(q)/dt i = d(0.2*t2)/dt i = 0.2*d(t2)/dt i = 0.2*2*t*d(t)/dt i = 0.4*t

Q: ent Ohm's law?

A: The current passes through a wire between the two points is directly proportional to the voltage…

Q: C2 C1 5. From the figure above, a pair of charged capacitors are given Cı = 1 µF and C2 = 2 µF which…

Q: A copper wire has a square cross section 6.2mm on a side. The wire is 8.0m long and carries a…

Q: he shon the sch desed and he capacher chargup Calalat how longakes far he chagele deonane by 00%…

A: Solution:-Given thatcharge to be decreased by 80%C=0.02 μF=0.02×10-6 FR=344 Ω

Concept explainers

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.

Question

The current in a wire varies with time t according to the relation: I(t) =
6+3t2. where the current I in Ampere and time t in seconds. How many
%3D
coulombs of charge pass a cross-section of the wire in the time interval
between t = 0 and t = 6s?
*Write only the value without unit
Answer:
NEXT PAC
ere to search
Ae
TOSHIBA
立

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

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

A metallic conductor has a resistivity of 2.2 x10-6 Qm. What is the resistance of a piece that is 24 m long and has a uniform cross sectional area of 6.85 x10-6 m2?If the potential difference across the source is 5.35 volts, find the current flows through the conductor. (a) Resistance of the conductor (in Q) = (b) current flows through the conductor in A = Finish attempt. 1-Quiz-2 Jump to. Upload vour Homework 2 Answer- hp
need help with following
The charge in a circuit varies with time as q(t) P+2t? -1 where q is in µC and t is in seconds. The value of current (in µA) in the circuit at t = 10.71 s is =
3
In a wire with a 2.17 mm2 cross-sectional area, 7.19 × 1020 electrons flow past any point during 3.09 s. What is the current I in the wire? I = A Determine the current density J. J = A/m?
hiii I need help with part a and part b
Kate has an iron wire connected across the terminals of a battery. When her circuit is at 20 degrees celcius , a current of 9.2 mA flows through her wire. When the circuit is placed somewhere else the current becomes 8mA. If the iron has a temp coefficient of resistivity of 5x10^-3(degrees celcius)^-1 , the temp of the new environment in degrees celcius is? a. -46 b. -6.1 c. 10 d. 30 e. 50
I Review The current supplied by a battery slowly decreases as the battery runs down. Suppose that the current as a function of time is I= (0.800 A le t/6hr Part A What is the total number of electrons transported from the positive electrode to the negative electrode by the charge escalator from the time the battery is first used until it is completely dead? ? electrons Submit Request Answer
Need help with parts A, B, and C
QUESTION 7 A copper wire has a circular cross section with a diameter of 8.11 mm. If the wire carries a current of 1.45 A, find the drift speed (in m/s) of electrons in the wire. (Take the density of mobile charge carriers in copper to be n = 1.10 × 1029 electrons/m³ and charge of electron to be q = 1.61 × 10-19 X C). Area of a circle = pir^2 Submit your answer in exponential form with two decimal places. You are required to show your work in the file you submit.
A 1.0x10-3 V/m electric field creates a 3.0x1017 elec/s current in a 1.3-mm-diameter aluminum wire. Part A What is the drift speed? Express your answer with the appropriate units. O ΜΑ Vd=3.77 106 m S Submit Previous Answers Request Answer × Incorrect; Try Again; 27 attempts remaining Part B What is the mean time between collisions for electrons in this wire? Express your answer with the appropriate units. ΜΑ ? T = Value Units
1. A block made of a material with a resistivity p, has length L and its cross section is square with side dimensions decreasing linearly (from a to b). Assume that the current density is uniform across any cross section taken perpendicular to the length. a a) Find the resistance of the block. b) Verify that for a = b, you recover the resistance for a prism (R=PE) c) What is the rate of the energy dissipated as thermal energy on this resistor if it is connected to a potential difference of V across its terminals? A a L [Give your answers in terms of p, a, b, L, V]