These three schematics show a very simplified and impractical electric motor, its rotor having just one coil and no core. The coil has a length a = 0.0289 m and total width b=0.0231 m. It can rotate about an axis that is out of the page for Figure 3 and approximately out of the page for Figure 1. For the calculation, we shall pretend that the field is uniform with magnitude 2.1 T upwards, as shown. Because of the split ring, the current, i = 17.8 A, always travels out of the page in the upper edge of the coil and into the page in the lower edge. The normal to the plane of the coil makes an angle 79° to the magnetic field B, as shown in Figure 2. N S N trub aplit ring Figure 1. A rectangular coil of wire lies between two permanent magnets. A current i runs through the wire. b Figure 2. The coil has side length a and b. B Figure 3. Cross section of the rectangular coil in the magnetic field. The normal of the coil lies at an angle to the magnetic field. SN SN

icon
Related questions
Question

Please answer all parts or leave for someone else to answer.

Question:
These three schematics show a very simplified and impractical electric motor, its rotor having just one coil and no core. The coil has a length
a = 0.0289 m and total width b=0.0231 m. It can rotate about an axis that is out of the page for Figure 3 and approximately out of the page for
Figure 1. For the calculation, we shall pretend that the field is uniform with magnitude 2.1 T upwards, as shown. Because of the split ring, the current,
i = 17.8 A, always travels out of the page in the upper edge of the coil and into the page in the lower edge. The normal to the plane of the coil makes
an angle 79° to the magnetic field B, as shown in Figure 2.
N
brush
split
ring
Figure 1. A rectangular coil of wire lies between two permanent magnets. A current i runs through the wire.
a
Figure 2. The coil has side length a and b.
B
Ꮎ
Figure 3. Cross section of the rectangular coil in the magnetic field. The normal of the coil lies at an angle to the magnetic field.
NS
N
S
NS
Transcribed Image Text:Question: These three schematics show a very simplified and impractical electric motor, its rotor having just one coil and no core. The coil has a length a = 0.0289 m and total width b=0.0231 m. It can rotate about an axis that is out of the page for Figure 3 and approximately out of the page for Figure 1. For the calculation, we shall pretend that the field is uniform with magnitude 2.1 T upwards, as shown. Because of the split ring, the current, i = 17.8 A, always travels out of the page in the upper edge of the coil and into the page in the lower edge. The normal to the plane of the coil makes an angle 79° to the magnetic field B, as shown in Figure 2. N brush split ring Figure 1. A rectangular coil of wire lies between two permanent magnets. A current i runs through the wire. a Figure 2. The coil has side length a and b. B Ꮎ Figure 3. Cross section of the rectangular coil in the magnetic field. The normal of the coil lies at an angle to the magnetic field. NS N S NS
Part 1)
Referring to figure 3, calculate the magnitude of the force F of the upper edge of the coil (the one with current coming out of the page) at a time when
the normal makes an angle of 79° with the magnetic field.
F =
N
Part 2)
Considering the edge in part 1, what is the magnitude of the torque that it exerts about the axis of rotation at a time when the normal to the coil makes
an angle of 79° with the magnetic field (as shown in Figure 2)?
T =
Nm
Part 3)
What is the total torque that the complete coil exerts about the axis of rotation at a time when the normal makes an angle of 79° with the magnetic
field?
T =
Nm
Part 4) Multiple choice.
What is the direction of the torque whose magnitude was calculated in part 3? Select the nearest answer, and referring to Fig 3.
(No answer given) +
(No answer given)
Left
Right
Up
Down
Into the page
Out of the page
Finish attempt...
Transcribed Image Text:Part 1) Referring to figure 3, calculate the magnitude of the force F of the upper edge of the coil (the one with current coming out of the page) at a time when the normal makes an angle of 79° with the magnetic field. F = N Part 2) Considering the edge in part 1, what is the magnitude of the torque that it exerts about the axis of rotation at a time when the normal to the coil makes an angle of 79° with the magnetic field (as shown in Figure 2)? T = Nm Part 3) What is the total torque that the complete coil exerts about the axis of rotation at a time when the normal makes an angle of 79° with the magnetic field? T = Nm Part 4) Multiple choice. What is the direction of the torque whose magnitude was calculated in part 3? Select the nearest answer, and referring to Fig 3. (No answer given) + (No answer given) Left Right Up Down Into the page Out of the page Finish attempt...
Expert Solution
steps

Step by step

Solved in 6 steps with 1 images

Blurred answer