A current-carrying rectangular wire loop with width a = 0.110 m and length b = 0.210 m is in the xy-plane, supported by a nonconducting, frictionless axle of negligible weight. A current of I = 2.75 A travels counterclockwise in the circuit (see the figure below). Calculate the magnitude and direction of the force exerted on the left, right, top, and bottom segments of wire (in N) by a uniform magnetic field of 0.200 T that points in the positive x-direction. Find the magnitude of the net torque (in N m) on the loop about the axle. HINT axle axle (a) left segment of the wire magnitude direction (c) top segment magnitude direction Apply the expression F = BIlsin (0) to each segment, where is the angle between the magnetic field and the current direction. Recall that the magnitude of torque is calculated as r = rFsin(0) where, in this case, is the angle between the force and the position vector from the axle to the point where the force is applied. ---Select--- (b) right segment of the wire magnitude direction ---Select--- ---Select-- N N B N Click the hint button again to remove this hint. O Ⓡ O O

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Chapter1: Units, Trigonometry. And Vectors
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A current-carrying rectangular wire loop with width a = 0.110 m and length b = 0.210 m is in the xy-plane, supported by a
nonconducting, frictionless axle of negligible weight. A current of I= 2.75 A travels counterclockwise in the circuit (see the
figure below). Calculate the magnitude and direction of the force exerted on the left, right, top, and bottom segments of
wire (in N) by a uniform magnetic field of 0.200 T that points in the positive x-direction. Find the magnitude of the net
torque (in N m) on the loop about the axle.
HINT
axle
axle
a
(a) left segment of the wire
magnitude
direction
(c) top segment
magnitude
direction
Apply the expression F = BIlsin (0) to each segment, where is the angle between the magnetic field and the
current direction. Recall that the magnitude of torque is calculated as t = rFsin (0) where, in this case, is the
angle between the force and the position vector from the axle to the point where the force is applied.
---Select---
(b) right segment of the wire
magnitude
direction
---Select---
---Select---
(d) bottom segment
magnitude
direction
---Select---
N
N
N
B
N
Click the hint button again to remove this hint.
✪
Ⓡ
✪
î
(e) Find the magnitude of the net torque on the loop about the axle.
N m
Transcribed Image Text:A current-carrying rectangular wire loop with width a = 0.110 m and length b = 0.210 m is in the xy-plane, supported by a nonconducting, frictionless axle of negligible weight. A current of I= 2.75 A travels counterclockwise in the circuit (see the figure below). Calculate the magnitude and direction of the force exerted on the left, right, top, and bottom segments of wire (in N) by a uniform magnetic field of 0.200 T that points in the positive x-direction. Find the magnitude of the net torque (in N m) on the loop about the axle. HINT axle axle a (a) left segment of the wire magnitude direction (c) top segment magnitude direction Apply the expression F = BIlsin (0) to each segment, where is the angle between the magnetic field and the current direction. Recall that the magnitude of torque is calculated as t = rFsin (0) where, in this case, is the angle between the force and the position vector from the axle to the point where the force is applied. ---Select--- (b) right segment of the wire magnitude direction ---Select--- ---Select--- (d) bottom segment magnitude direction ---Select--- N N N B N Click the hint button again to remove this hint. ✪ Ⓡ ✪ î (e) Find the magnitude of the net torque on the loop about the axle. N m
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