Problem 10: A wire, bent into a rectangle with sides a = 0.015 m and b = 0.055 m, is in a magnetic field B directed perpendicularly to the face of the wire, as shown. The perpendicular component is a function of time as B(t) = Asin(wt), where A = 0.35 T, w = 2 rad/s. In this problem, take the normal vector to the surface of the loop to be parallel to the magnetic field. В Part (a) Express the magnetic flux going through the wire, P, in terms of a, b, A, w, and t. cos(a) cos(@t) cos(4) 7 НОME cos(0) sin(a) sin(m) 4 6 sin(@t) sin(4) sin(0) 1 3 a А END - t V VO BACKSPACE DEL CLEAR Submit Hint Feedback I give up! Part (b) Express the the emf, E, induced in the loop in terms of the derivative of P. Part (c) Find the emf, &, induced in the loop in terms of a, b, A, w, and t.

University Physics Volume 2
18th Edition
ISBN:9781938168161
Author:OpenStax
Publisher:OpenStax
Chapter11: Magnetic Forces And Fields
Section: Chapter Questions
Problem 72AP: A particle moving downward at a speed of 6.0106 m/s enters a uniform magnetic field that is...
icon
Related questions
Question
100%
Problem 10: A wire, bent into a rectangle with sides a = 0.015 m and b = 0.055 m, is in a
magnetic field B directed perpendicularly to the face of the wire, as shown. The perpendicular
component is a function of time as B(t) = Asin(@t), where A = 0.35 T, w = 2 rad/s. In this problem,
take the normal vector to the surface of the loop to be parallel to the magnetic field.
B
%3D
b
Part (a) Express the magnetic flux going through the wire, Ø, in terms of a, b, A, w, and t.
cos(a)
cos(wt)
cos(ф)
7
8 9
НОME
cos(0)
sin(a)
sin(@)
↑^ ^L 4
5 6
sin(@t)
sin(4)
sin(0)
1
2 3
a
А
b
+
END
-
V
VO ВАСKSРАСЕ
CLEAR
DEL
Submit
Hint
Feedback
I give up!
Part (b) Express the the emf, 8, induced in the loop in terms of the derivative of P.
Part (c) Find the emf, 8, induced in the loop in terms of a, b, A, w, and t.
Part (d) Calculate the magnitude of the emf at t = 3.7 s in V.
Transcribed Image Text:Problem 10: A wire, bent into a rectangle with sides a = 0.015 m and b = 0.055 m, is in a magnetic field B directed perpendicularly to the face of the wire, as shown. The perpendicular component is a function of time as B(t) = Asin(@t), where A = 0.35 T, w = 2 rad/s. In this problem, take the normal vector to the surface of the loop to be parallel to the magnetic field. B %3D b Part (a) Express the magnetic flux going through the wire, Ø, in terms of a, b, A, w, and t. cos(a) cos(wt) cos(ф) 7 8 9 НОME cos(0) sin(a) sin(@) ↑^ ^L 4 5 6 sin(@t) sin(4) sin(0) 1 2 3 a А b + END - V VO ВАСKSРАСЕ CLEAR DEL Submit Hint Feedback I give up! Part (b) Express the the emf, 8, induced in the loop in terms of the derivative of P. Part (c) Find the emf, 8, induced in the loop in terms of a, b, A, w, and t. Part (d) Calculate the magnitude of the emf at t = 3.7 s in V.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Magnetic force
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: Foundations…
Physics for Scientists and Engineers: Foundations…
Physics
ISBN:
9781133939146
Author:
Katz, Debora M.
Publisher:
Cengage Learning