A square coil of wire of side 2.85 cm is placed in a uniform magnetic field of magnitude 1.50 T directed into the page as in the figure shown below. The coil has 26.5 turns and a resistance of 0.780 Ω. If the coil is rotated through an angle of 90.0° about the horizontal axis shown in 0.335 s, find the following. A square coil is shown in the plane of the page, and inside the coil a magnetic field points into the page. A horizontal rotation axis passes through the middle of the square. An arrow indicates that the square rotates clockwise on the axis when viewed from the left.     (a) the magnitude of the average emf induced in the coil during this rotation =  mV (b) the average current induced in the coil during this rotation =  mA

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A square coil of wire of side 2.85 cm is placed in a uniform magnetic field of magnitude 1.50 T directed into the page as in the figure shown below. The coil has 26.5 turns and a resistance of 0.780 Ω. If the coil is rotated through an angle of 90.0° about the horizontal axis shown in 0.335 s, find the following.

A square coil is shown in the plane of the page, and inside the coil a magnetic field points into the page. A horizontal rotation axis passes through the middle of the square. An arrow indicates that the square rotates clockwise on the axis when viewed from the left.
 
 
(a) the magnitude of the average emf induced in the coil during this rotation =
 mV

(b) the average current induced in the coil during this rotation =
 mA
### Rotation Axis and Symmetry Plane

In the given diagram, we observe a square plane that is positioned vertically. The diagram is focused on showcasing the concept of rotational symmetry around a specific axis. Below is a detailed explanation:

1. **Rotation Axis**: 
   - The horizontal line passing through the center of the square represents the rotation axis. 
   - This axis is crucial for illustrating the concept of rotational symmetry.
   - Objects or shapes can be rotated around this axis.

2. **Rotation Indicator**:
   - To the left of the square, there’s a curved arrow indicating the direction of rotation.
   - The arrow is curved counterclockwise, which signifies the plane’s movement during rotation.

3. **Pattern on the Plane**:
   - Inside the square, there is a grid pattern consisting of smaller squares arranged in a 3x3 formation.
   - Each smaller square contains a green "X." This patterned arrangement is used to demonstrate how the orientation remains consistent, or returns to its original appearance, each time the square rotates around its axis by a specific angle.

### Educational Context:

Understanding rotation axes and symmetric patterns is fundamental in fields such as geometry, physics, engineering, and computer graphics. This visualization aids in comprehending how shapes and objects can maintain their symmetry and orientation during rotation, which is integral to the aforementioned disciplines.
Transcribed Image Text:### Rotation Axis and Symmetry Plane In the given diagram, we observe a square plane that is positioned vertically. The diagram is focused on showcasing the concept of rotational symmetry around a specific axis. Below is a detailed explanation: 1. **Rotation Axis**: - The horizontal line passing through the center of the square represents the rotation axis. - This axis is crucial for illustrating the concept of rotational symmetry. - Objects or shapes can be rotated around this axis. 2. **Rotation Indicator**: - To the left of the square, there’s a curved arrow indicating the direction of rotation. - The arrow is curved counterclockwise, which signifies the plane’s movement during rotation. 3. **Pattern on the Plane**: - Inside the square, there is a grid pattern consisting of smaller squares arranged in a 3x3 formation. - Each smaller square contains a green "X." This patterned arrangement is used to demonstrate how the orientation remains consistent, or returns to its original appearance, each time the square rotates around its axis by a specific angle. ### Educational Context: Understanding rotation axes and symmetric patterns is fundamental in fields such as geometry, physics, engineering, and computer graphics. This visualization aids in comprehending how shapes and objects can maintain their symmetry and orientation during rotation, which is integral to the aforementioned disciplines.
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