COLLEGE PHYSICS
2nd Edition
ISBN: 9781464196393
Author: Freedman
Publisher: MAC HIGHER
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Chapter 19, Problem 27QAP
To determine
Relationship between magnetic field and the distance from the center of cylinder
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Criterion A: Knowing and understanding
i. state scientific knowledge. (Max. 2 points)
A wire loop is moved from outside the magnetic field until it is fully inside the magnetic field. The
initial magnetic flux is 0 Wb, and the change in magnetic flux is 2.5 Wb. The magnetic field has a
strength of 0.031 T.
Calculate the area of the wire loop.
The following equations may be useful:
AP =
D = BLA
Round your answer to 3 significant figures.
BA
2.5 Wb
A
0.031 T
A =
m²
||
||
What is the magnetic field at point P shown below if
a=3.39mm, b = 6.81mm, and the current 1=5,075A?
Define positive as out of the page. Assume 3 significant
digits and units of Tesla.
b
Pl
—a—
Right hand rule for magnetic field due to a long straight
current: Magnetic field lines are a way to graphically represent
I
the magnetic field. The direction of B at any point is tangent to
the field line and the magnitude of B is proportional to the
density of field lines. For the long straight wire, the magnetic
I
field lines form circles around the wire.
There is a right hand rule for the direction in the magnetic field
go around the wire. Grasp the wire with your thumb in the
direction of the current. The direction your fingers wrap around
the wire is the direction that the B field lines go around the
wire. Check that this agrees with your analysis of the long
straight wire from the previous problem.
lines
В
Magnitude of magnetic field due to a long straight current:
The magnitude of the magnetic field at a distance r due to a
very long straight wire carrying current I can be derived from
dB O
the Biot-Savart law:
HoI ds sin ø
HOID ds
dB
4π (s2+ D?) 4π(s2+ D2)3/2
D
where we used…
Chapter 19 Solutions
COLLEGE PHYSICS
Ch. 19 - Prob. 1QAPCh. 19 - Prob. 2QAPCh. 19 - Prob. 3QAPCh. 19 - Prob. 4QAPCh. 19 - Prob. 5QAPCh. 19 - Prob. 6QAPCh. 19 - Prob. 7QAPCh. 19 - Prob. 8QAPCh. 19 - Prob. 9QAPCh. 19 - Prob. 10QAP
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