A flat coil of wire, consisting of 20 circular loops with a total resistance of 20.0 2, is placed so that it is at rest, flat on a table. The graphs below show the magnetic flux through each loop of the coil as a function of time, for three different cases. The units of flux are webers, which are equivalent to tesla meters2. The flux through each loop changes because the magnetic field changes. Assume that the field is uniform and the direction of the field is perpendicular to the plane of the coil-positive flux means the field is passing in one direction through the coil, and negative flux means that the field is passing through the coil in the opposite direction. Ф (Т m?) Ф (Т m?) 0.404 0,20- А B 0.40- 0.20- t (s) -0.20- -t (s) 20 10 15 20 -0.20 -0.40- -0.40- Ф (Т m?) 0.40 0.20- 0- +t (s) 5 10 15 20 -0.20- -0.40+- (a) Rank the cases based on the magnitude of the flux passing through each loop of the coil at a time of t = 23 s, from largest to smallest. (Use only ">" or "=" symbols. Do not include any parentheses around the letters or symbols.) C>B>A (b) Rank the cases based on the magnitude of the induced current in the coil at a time of t = 23 s, from largest to smallest. (Use only ">" or "=" symbols. Do not include any parentheses around the letters or symbols.) (c) In case C, calculate the magnitude of the induced current in the loop at t = 9 s. (d) In case C, calculate the magnitude of the induced current in the loop at t = 17.5 s.
A flat coil of wire, consisting of 20 circular loops with a total resistance of 20.0 2, is placed so that it is at rest, flat on a table. The graphs below show the magnetic flux through each loop of the coil as a function of time, for three different cases. The units of flux are webers, which are equivalent to tesla meters2. The flux through each loop changes because the magnetic field changes. Assume that the field is uniform and the direction of the field is perpendicular to the plane of the coil-positive flux means the field is passing in one direction through the coil, and negative flux means that the field is passing through the coil in the opposite direction. Ф (Т m?) Ф (Т m?) 0.404 0,20- А B 0.40- 0.20- t (s) -0.20- -t (s) 20 10 15 20 -0.20 -0.40- -0.40- Ф (Т m?) 0.40 0.20- 0- +t (s) 5 10 15 20 -0.20- -0.40+- (a) Rank the cases based on the magnitude of the flux passing through each loop of the coil at a time of t = 23 s, from largest to smallest. (Use only ">" or "=" symbols. Do not include any parentheses around the letters or symbols.) C>B>A (b) Rank the cases based on the magnitude of the induced current in the coil at a time of t = 23 s, from largest to smallest. (Use only ">" or "=" symbols. Do not include any parentheses around the letters or symbols.) (c) In case C, calculate the magnitude of the induced current in the loop at t = 9 s. (d) In case C, calculate the magnitude of the induced current in the loop at t = 17.5 s.
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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Chapter23: Faraday’s Law And Inductance
Section23.2: Motional Emf
Problem 23.3QQ: You wish to move a rectangular loop of wire into a region of uniform magnetic field at a given speed...
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Transcribed Image Text:A flat coil of wire, consisting of 20 circular loops with a total resistance of 20.0 2, is placed so that it is at rest, flat on a table. The graphs below show the magnetic flux through each loop of the coil as
a function of time, for three different cases. The units of flux are webers, which are equivalent to tesla meters?. The flux through each loop changes because the magnetic field changes. Assume that
the field is uniform and the direction of the field is perpendicular to the plane of the coil-positive flux means the field is passing in one direction through the coil, and negative flux means that the field
is passing through the coil in the opposite direction.
Ф (Т m?)
0.40
Ф (Т m?)
А
B
0.40
0.20-
0.20-
t (s)
25
0-
10
20
10
-t (s)
25
5.
15
15
20
-0.20-
-0.40-
-0.20-
-0.40-
Ф (Т m?)
0.404
C
0.20-
t (s)
25
0-
10
15
20
-0.20-
-0.40-
(a) Rank the cases based on the magnitude of the flux passing through each loop of the coil at a time of t = 23 s, from largest to smallest. (Use only ">" or "=" symbols. Do not include any
parentheses around the letters or symbols.)
C>B>A
(b) Rank the cases based on the magnitude of the induced current in the coil at a time of t = 23 s, from largest to smallest. (Use only ">" or "=" symbols. Do not include any parentheses
around the letters or symbols.)
(c) In case C, calculate the magnitude of the induced current in the loop at t = 9 s.
A
(d) In case C, calculate the magnitude of the induced current in the loop at t = 17.5 s.
A
Transcribed Image Text:(e) Let's say that, at t = 12 s in case A, the induced current is directed clockwise around the loops in the coil. The induced current should also be directed clockwise at which of the following
times and cases? (Select all that apply.)
Ot = 3 s in case A
Ot = 6 s in case A
Ot = 17 s in case A
Ot = 22 s in case A
Ot = 3 s in case B
Ot = 6 s in case B
O t = 17 s in case B
Ot = 22 s in case B
Ot = 3 s in case C
Ot = 6 s in case C
O t = 17 s in case C
Ot = 22 s in case C
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