A varying current i(t) = t(16 – t) A (t in seconds) flows through a long straight wire that lies along the x-axis. The current produces a magnetic field B whose magnitude at a distance r from the wire is B = HT. Furthermore, at the point P, B point: away from the observer as shown in the figure. Wire loop C- Rectangular region R Volt meter x=0) P=(x, y) Calculate the flux (1), at time t, of B through a rectangle of dimensions L x H = 9 x 2 m whose top and bottom edges are parallel to the wire and whose bottom edge is located d = 0.5 m above the wire. Assume that the rectangle and the wire are

University Physics Volume 2
18th Edition
ISBN:9781938168161
Author:OpenStax
Publisher:OpenStax
Chapter12: Sources Of Magnetic Fields
Section: Chapter Questions
Problem 87AP: Magnetic field inside a torus. Consider a torus of rectangular cross-section with inner radius a and...
icon
Related questions
Question
A varying current i(t) = t(16 – t) A (t in seconds) flows through a long straight wire that lies along the x-axis. The current
produces a magnetic field B whose magnitude at a distance r from the wire is B = Ho T. Furthermore, at the point P, B points
away from the observer as shown in the figure.
2xr
Wire loop C
Rectangular
region R
Volt meter
Φ(t) =
B
[E.d
x=0)
Calculate the flux Þ(t), at time t, of B through a rectangle of dimensions L x H = 9 x 2 m whose top and bottom edges are
parallel to the wire and whose bottom edge is located d = 0.5 m above the wire. Assume that the rectangle and the wire are
located in the same plane.
(Use symbolic notation and fractions where needed. Let I = i(t) and express your answer in terms of μ40 and I.)
E. dr =
P = (x, y)
X = L
Use Faraday's Law to determine the voltage drop around the rectangular loop (the boundary of the rectangle) at time t = 6.
Assume μ = 410-7 T.m/A.
(Use symbolic notation and fractions where needed.)
T.m²
Transcribed Image Text:A varying current i(t) = t(16 – t) A (t in seconds) flows through a long straight wire that lies along the x-axis. The current produces a magnetic field B whose magnitude at a distance r from the wire is B = Ho T. Furthermore, at the point P, B points away from the observer as shown in the figure. 2xr Wire loop C Rectangular region R Volt meter Φ(t) = B [E.d x=0) Calculate the flux Þ(t), at time t, of B through a rectangle of dimensions L x H = 9 x 2 m whose top and bottom edges are parallel to the wire and whose bottom edge is located d = 0.5 m above the wire. Assume that the rectangle and the wire are located in the same plane. (Use symbolic notation and fractions where needed. Let I = i(t) and express your answer in terms of μ40 and I.) E. dr = P = (x, y) X = L Use Faraday's Law to determine the voltage drop around the rectangular loop (the boundary of the rectangle) at time t = 6. Assume μ = 410-7 T.m/A. (Use symbolic notation and fractions where needed.) T.m²
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 5 images

Blurred answer
Knowledge Booster
Magnetic field
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
  • SEE MORE QUESTIONS
Recommended textbooks for you
University Physics Volume 2
University Physics Volume 2
Physics
ISBN:
9781938168161
Author:
OpenStax
Publisher:
OpenStax
Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Physics for Scientists and Engineers with Modern …
Physics for Scientists and Engineers with Modern …
Physics
ISBN:
9781337553292
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Physics for Scientists and Engineers: Foundations…
Physics for Scientists and Engineers: Foundations…
Physics
ISBN:
9781133939146
Author:
Katz, Debora M.
Publisher:
Cengage Learning
Glencoe Physics: Principles and Problems, Student…
Glencoe Physics: Principles and Problems, Student…
Physics
ISBN:
9780078807213
Author:
Paul W. Zitzewitz
Publisher:
Glencoe/McGraw-Hill
College Physics
College Physics
Physics
ISBN:
9781938168000
Author:
Paul Peter Urone, Roger Hinrichs
Publisher:
OpenStax College