As shown in the figure, a rectangular loop with a length of 20.0 cm and a width w of 15.0 cm has 20 tur of 0.41 A counterclockwise around the loop when viewed from the positive x-axis. A horizontal (parallel to field of magnitude 0.049 T is oriented at an angle of 65° relative to the perpendicular to the loop (the pos the length and width are measured along the z and y-axes, respectively.) FTop, x FTop, y N (a) Find the components of the magnetic force acting on each side of the loop. Components of the magnetic force acting on the top section of the loop. N N N FTop, z = = = FBottom, y Ba Components of the magnetic force acting on the bottom section of the loop. FBottom, x N N = x-z plane =

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Chapter29: Magnetic Fields
Section: Chapter Questions
Problem 29.50P
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As shown in the figure, a rectangular loop with a length of 20.0 cm and a width w of 15.0 cm has 20 turns and carries a current
of 0.41 A counterclockwise around the loop when viewed from the positive x-axis. A horizontal (parallel to the x-z plane) magnetic
field of magnitude 0.049 T is oriented at an angle of 65° relative to the perpendicular to the loop (the positive x-axis). (Assume
the length and width are measured along the z and y-axes, respectively.)
(a) Find the components of the magnetic force acting on each side of the loop.
FTOP, X
Components of the magnetic force acting on the top section of the loop.
N
B
N
N
FTOP, Y
FTop, z
=
=
=
FBottom, y
Components of the magnetic force acting on the bottom section of the loop.
FBottom, x
N
N
N
FBottom, z
Fright, x
Fright, y
Fright, z
Z
Components of the magnetic force acting on the left section of the loop.
FLeft, x =
N
FLeft, y =
N
FLeft, z =
N
O O O
Components of the magnetic force acting on the right section of the loop.
N
N
N
0°
=
=
=
y
=
=
x-z plane
(b) Find the net magnetic force on the loop. (Enter the magnitude only.)
FNet =
N
(c) Find the magnetic torque on the loop.
N m
magnitude
direction
90°
180°
>
---Select---
(d) If the loop can rotate about the y-axis with only a small amount of friction, what will be the final angle of the
perpendicular to the coil with respect to the direction of the magnetic field?
about the y-axis as viewed from the positive y-axis
Transcribed Image Text:As shown in the figure, a rectangular loop with a length of 20.0 cm and a width w of 15.0 cm has 20 turns and carries a current of 0.41 A counterclockwise around the loop when viewed from the positive x-axis. A horizontal (parallel to the x-z plane) magnetic field of magnitude 0.049 T is oriented at an angle of 65° relative to the perpendicular to the loop (the positive x-axis). (Assume the length and width are measured along the z and y-axes, respectively.) (a) Find the components of the magnetic force acting on each side of the loop. FTOP, X Components of the magnetic force acting on the top section of the loop. N B N N FTOP, Y FTop, z = = = FBottom, y Components of the magnetic force acting on the bottom section of the loop. FBottom, x N N N FBottom, z Fright, x Fright, y Fright, z Z Components of the magnetic force acting on the left section of the loop. FLeft, x = N FLeft, y = N FLeft, z = N O O O Components of the magnetic force acting on the right section of the loop. N N N 0° = = = y = = x-z plane (b) Find the net magnetic force on the loop. (Enter the magnitude only.) FNet = N (c) Find the magnetic torque on the loop. N m magnitude direction 90° 180° > ---Select--- (d) If the loop can rotate about the y-axis with only a small amount of friction, what will be the final angle of the perpendicular to the coil with respect to the direction of the magnetic field? about the y-axis as viewed from the positive y-axis
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