Two long, straight conducting wires with linear mass density λ are suspended from cords so that they are each horizontal, parallel to each other, and a distance d apart. The back ends of the wires are connected to one another by a slack, low-resistance connecting wire. A charged capacitor (capacitance C) is now added to the system; the positive plate of the capacitor (initial charge +Q0) is connected to the front end of one of the wires, and the negative plate of the capacitor (initial charge −Q0) is connected to the front end of the other wire (see the figure (Figure 1)). Both of these connections are also made by slack, low-resistance wires. When the connection is made, the wires are pushed aside by the repulsive force between the wires, and each wire has an initial horizontal velocity of magnitude v0. Assume that the time for the capacitor to discharge is negligible compared to the time it takes for any appreciable displacement in the position of the wires to occur. Part A Determine v0 numerically if λ= 4.00×10^−3 kg/m, d= 3.40 cm, C= 2.80 μF, and R= 5.20×10^−2 Ω, and if the capacitor was initially charged by connecting it to a 3.10 kV source. Part B To what height h will each wire rise as a result of the circuit connection?

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)...
icon
Related questions
Question

Two long, straight conducting wires with linear mass density λ are suspended from cords so that they are each horizontal, parallel to each other, and a distance d apart. The back ends of the wires are connected to one another by a slack, low-resistance connecting wire. A charged capacitor (capacitance C) is now added to the system; the positive plate of the capacitor (initial charge +Q0) is connected to the front end of one of the wires, and the negative plate of the capacitor (initial charge −Q0) is connected to the front end of the other wire (see the figure (Figure 1)). Both of these connections are also made by slack, low-resistance wires. When the connection is made, the wires are pushed aside by the repulsive force between the wires, and each wire has an initial horizontal velocity of magnitude v0. Assume that the time for the capacitor to discharge is negligible compared to the time it takes for any appreciable displacement in the position of the wires to occur.

Part A
Determine v0 numerically if λ= 4.00×10^−3 kg/m, d= 3.40 cm, C= 2.80 μF, and R= 5.20×10^−2 Ω, and if the capacitor was initially charged by connecting it to a 3.10 kV source.

Part B
To what height h will each wire rise as a result of the circuit connection?

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 9 steps with 12 images

Blurred answer
Knowledge Booster
Parallel-plate capacitor
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
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON