Ch. 26 An electric current in a conductor varies with time according to the expression I(t) = 106 sin (180at), where I is in amperes and t is in seconds. What is the total charge passing a given point in theconductor from t = 0 to t = 1/240 s?

Given: The current variation in conductor is I=106sin180πt

An electric current in a conductor varies with time according to the expression I(t) = 106 sin (180xt), where I is in amperes and t is in seconds. What is the total charge passing a given point in the conductor from t = 0 to t = 1/240 s?

An electric current in a conductor varies with time according to the expression I(t) = 106 sin (180xt), where I is in amperes and t is in seconds. What is the total charge passing a given point in the conductor from t = 0 to t = 1/240 s?

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter28: Current And Resistance

Section: Chapter Questions

Problem 65PQ

See similar textbooks

Related questions

Q: Applying Kirchhoff's Laws to the electrical network in the figure, the currents I1, I2, and I3 are…

Q: An electric current can be represented by the function y = 2 cos (27 (I – 0.02)), with time in x…

A: Note: According to the question answer guidelines, the expert suppose to answer the first question…

Q: :. Dimensions of the resistance in an electrical circuit in terms of dimension of mass M, length L,…

Q: Suppose the voltage in an electrical circuit varies with time according to the formula V(t) = 100…

A: V(t)=100 sin (t)V(t)=1π∫0πV(t)dtV(t)=1π∫0π100 sin (t)dt

Q: 50 300 100 Q Which of the following ranks the resistors by the charge that flows through each in a…

Q: The current density is a vector whose magnitude J is the current 1 per unit cross-sectional area A.…

A: I = 3.6 mA A= 7.2 × 10-6 m2

Q: A potential difference is applied between the electrodes in a gas discharge tube. In 1.00 s, 1.85 x…

A: Given data: Time (t) = 1.00 s Number of electrons passed = 1.85 × 1016 Number of positive ions…

Q: At a point high in the Earth's atmosphere, He2+ ions in a concentration of 2.5×1012/m3 are moving…

Q: In the circuit shown below, R1 = 3 ohms, R2 = 2 ohms, R3 = 5 ohms, 21 = 4 V, 2 = 10 V₂ and 3 = 6 V.…

Q: What is the approximate take off latency recorded at 17 cm in a nerve fiber having a conduction…

A: Distance (d) = 17 cm = 0.17 m Conduction velocity (v) = 49 m/s

Q: The Emf is equal to ξ=46.1V, R=36.4Ω. What is the current flowing through R1 (in A)?

Q: An electric current in a conductor varies with time according to the expression I(t) = 84 sin…

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

Q: 10 km long copper conductor with a diameter of 2 cm J=8 A/mm^2 has a current density. According to…

Q: J 3 Question 14 Pouillet's law states that the amount of electric current carried through a…

A: Answer : False.

Q: To measure IR3, the ammeter should be connected at terminals: 4 5 1 2 3 78 R1 10 11, www. R2 R3 R4 6…

Q: A long, straight, solid cylinder, oriented with its axis in the z−direction, carries a current whose…

Q: The diagram below shows a circuit where; R1 = 6.0 Ω, R2 = 4.0 Ω, R3 = 2.0 Ω, V1 = 6.1 Volts, V2 =…

A: According to the Kirchhoff’s voltage law, Substitute the values,

Q: A current, i(t) = 50 cos(100πt) enters the input terminal of an electric device. What is the charge…

A: Given Data, Charge at any instant "t" is i(t) = 50 cos(100πt) Time(t)= 5 ms At t=0 ,q=0

Q: In this part of the experiment, you will investigate the physical parameters that have an effect on…

Q: What is the value of the total charge on the circuit? 0.1591 C 0.0109 C 0.1945 C 0.0057 C

A: Given C1= 470 uF C2= 690 uF C3= 4.5 mF C4= 3.4 pF C5= 5 pF C6= 550 uF C7= 834 uF C8= 950 uF V = +50…

Q: What is the value of the equivalent resistance, Rab? Express your answer in ΚΩ. 9 kN, 9 kN 9 kN 9…

A: Solution-

Q: 20 volts. The slope of the graph In the Potentiometer experiment, let the known emf of the power…

A: A potentiometer is an electric device used to control the EMF and internal resistance of a cell.…

Q: Which of the following combinations has the dimension of electrical resistance (€o is the…

Q: The oscillating current in an electrical circuit is as follows, where I is measured in amperes and t…

Q: An electric current in a conductor varies with time according to the expression I(t) = 110 sin…

A: Solution:-current in conductor is given by It=110 sin90πtwe have to find total charge…

Q: How many electrons pass in a given point in 40 seconds in a conductor carrying 10 Amperes?

A: Given data: Time (t) = 40 seconds Current (I) = 10 Amperes Required: Number of electrons passed…

Q: The drift speed of charge carriers in a conductor carrying current / is ngA where n is the number of…

A: given: Drift speed of charge carriers in a current carrying conductor Vd = InqA where n -…

Q: If the current flowing through a circuit is 0.6 A for 6 mins, the amount of electric charge flowing…

Q: Given that a current of I(t)= 7t2+4 (where t is in s) is flowing parallel to the axis of a…

A: The current density is the ratio of current and area. The current is given as

Q: For the dc network in Figure Q1(b) calculate the unknown voltages V2 and V1 using Kirchoff's voltage…

A: Kirchoff's voltage law, always applied to a closed loop Now consider ,I is the total current…

Q: n electron is travelling at 100.0 km/s parallel to a long straight horizontal conductor a distance…

Q: 2.2 Exploratory Study of Resistance In this part of the experiment, you will investigate the…

A: Here, we are given the different values of length of the conductor for which we have calculated the…

Q: The current in a conductor varies in time according to /(t)= 53 e2, where / is in amperes and t in…

Q: 224.)An electrician experienced a mild electric shock when he accidentally touched a wire carrying…

A: Given:- i= current= 5 mA= 5×10^-3 A t= time = 2 sec Current can be given as:- i= q/t Where; q=…

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: The time constant is defined as the time required for the current to drop to 0.37 from its original…

A: Solution: Time constant is defined as the time required for the current to drop to 0.37 from its…

Q: An electron is travelling at 100 km/s parallel to a long straight horizontal conductor a distance of…

Q: In the SI system of units, one coulomb (1 C) is defined to be the charge that passes a point every…

A: Given, I = 2 A t = 5 min = 300 seconds

Q: The current in a conductor varies in time according to /(t)= 63 e-2, where / is in amperes and t in…

A: Necessary formula

Q: Find the magnitude of I, and Iz in electrical circuit?

A: The equivalent resistance of these two parallel resistors are Since R1 and the 3Ω resistor are in…

Q: Consider the circuit shown in the accompanying figure, where R₁ =13.00 and R₂ = 7.5 22. R₁ R₁ ti…

Q: The following equations describe an electric circuit. −I1(247 Ω) + 5.80 V − I2(381 Ω) = 0 I2(381…

A: The given equation of the electric circuit is rewritten as:

Q: Time left 1:11:5 The current in a wire varies with time t according to the relation: I(t) = 3+3t2.…

Q: If the battery in the circuit below is 7.16V, resistor R1=331.15ΩΩ, and resistor R2=51.49ΩΩ, what is…

A: Given: V=7.16 VR1 = 331.15 ΩR2 = 51.49 Ω

Q: A current of I = 4.7 A passes through the circuit shown, where R = 46 Q. I 3R 5R ww ww 2R 6R §2RR ww…

A: To calculate the voltage, we first need to calculate the net resistance (Rnet) of the circuit. The…

Q: The current in conductor varies with time t as I = 2t + 3t? where I is in ampere and t in seconds.…

Concept explainers

Ohm's law

Ohm’s law is a prominent concept in physics and electronics. It gives the relation between the current and the voltage. It is used to analyze and construct electrical circuits. Ohm's law states that the voltage across a conductor is directly proportional to the current flowing through it.

Path of Least Resistance

In a series of alternate pathways, the direction of least resistance is the actual or metaphorical route that offers the least resistance to forwarding motion by a given individual or body.

Question

Ch. 26

An electric current in a conductor varies with time according to the expression I(t) = 106 sin (180at), where I is in amperes and t is in seconds. What is the total charge passing a given point in the
conductor from t = 0 to t = 1/240 s?

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

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 ?
An electric current in a conductor varies with time according to the expression I(t) = 100 sin (120πt), where I is in amperes and t is in seconds. What is the total charge passing a given point in the conductor from t = 0 to t = (1)/(240) s?
The current, I, is 2A through R2=4Ω and V1=6.00V. Determine the current through R1 =2Ω and R3=5Ω and the voltage V2 for the given circuit.
How many time constants does it take for a capacitor with capacitance, C, to discharge through a resistor with resistance, R, to 1/5 of its total charge?
The current in a wire varies with time t according to the relation: I(t) = 3+3t². where the current I in Ampere and time t in seconds. How many coulombs of charge pass section of the wire in the time interval between t = 0 andt= 3s? *
The formula for the power output P of a battery is P=VI−RI2P=VI−RI2, where V is the electromotive force in volts, R is the resistance in ohms, and I is the current in amperes. Find the current that corresponds to a maximum value of P in a battery for which V = 12 volts and R = 0.8 ohm. Assume that a 10-ampere fuse bounds the output in the interval 0≤I≤100≤I≤15
The oscillating current in an electrical circuit is as follows, where I is measured in amperes and t is measured in seconds. I = 8 sin(60πt) + cos(120πt) Find the average current for each time interval. (Round your answers to three decimal places.) A.) 0 ≤ t ≤ 1/60 B.) 0 ≤ t ≤ 1/240 C.) 0 ≤ t ≤ 1/30
When an electric current is maintained in an electrolytic cell of slightly acidic water and 1 mole of water is electrolyzed in to hydrogen and oxygen, two faradays of charge are transferred through a source of emf (E). The energy change of the system is +286500 J and 50,000 J of heat is absorbed. Calculate the emf (E) ? Given 1 Faraday = 96500 C/mol.?
The speed of propagation of the action potential (anelectrical signal) in a nerve cell depends (inversely) on thediameter of the axon (nerve fiber). If the nerve cell connectingthe spinal cord to your feet is 1.1 m long, and the nerveimpulse speed is 18 m/s, how long does it take for the nervesignal to travel this distance?
A long, straight, solid cylinder, oriented with its axis in the z−direction, carries a current whose current density is J⃗. The current density, although symmetrical about the cylinder axis, is not constant but varies according to the relationship J⃗=2*I0/πa^2 *[1−(r/a)^2]k for r≤a=0 for r≥a where a is the radius of the cylinder, r is the radial distance from the cylinder axis, and I0 is a constant having units of amperes. Part A Using Ampere's law, derive an expression for the magnitude of the magnetic field B⃗ in the region r≥a. Part B Obtain an expression for the current I contained in a circular cross section of radius r≤a and centered at the cylinder axis. Part C Using Ampere's law, derive an expression for the magnitude of the magnetic field B⃗ in the region r≤a.
A high voltage transmission line of diameter 3.73 cm and length 3.76189 km carries a steady current of 1.9 x103 A. If the conductor is copper with a free charge density of 6 x 1028 electrons/m3, how long (in seconds ) does it take one electron to travel the full length of the cable? (e = 1.6 x 10−19 C).For this problem use scientific/exponential notation to represent your answer. Eg., -0.0001 can be written as 1.0e-4 or as 1.0E-4. Spaces are not allowed.
Four resistors 2 Ω , 3 Ω , 6 Ω , and R x connected in parallel and the voltage across each is 12V. If the current drawn from the battery is 15A, what is the value of R x?