A moveable (massless and frictionless) bar with a length of L = 11/50 m is being moved at a constant velocity of 62/10 m/s from left to right along two conducting rails by an external force, F, as shown in the Figure. If the system is immersed in a uniform magnetic field (out of the paper) with magnitude 11/100 Tesla, What is the induced current and its direction of the loop if the resistance is 11/5 Ω ?

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A moveable (massless and frictionless) bar with a length of L = 11/50 m is being moved at a constant velocity of 62/10 m/s from left to right along two conducting rails by an external force, F, as shown in
the Figure. If the system is immersed in a uniform magnetic field (out of the paper) with magnitude
11/100 Tesla, What is the induced current and its direction of the loop if the resistance is 11/5 Ω ?

The image shows a diagram illustrating magnetic flux through a rectangular area. The setup is as follows:

1. **Rectangular Loop**: The diagram features a rectangular loop with an indicated height labeled as \( l \).

2. **Magnetic Field**: Dots inside and outside the loop represent a uniform magnetic field directed perpendicular to the plane of the loop.

3. **Moving Conductor**: A vertical, movable conductor (shaded gray) on the right side moves horizontally with a velocity \( v \), as indicated by a green arrow.

4. **Width of the Segment**: The width of the segment of the loop through which the magnetic field is passing, labeled \( dA \), is denoted by the distance between two dashed lines perpendicular to the direction of velocity.

This diagram is commonly used to explain electromagnetic induction, Faraday's law, or the concept of induced electromotive force (emf) in a changing magnetic environment. The movement of the conductor through the magnetic field changes the magnetic flux through the loop, which may induce an emf according to Faraday's law of induction.
Transcribed Image Text:The image shows a diagram illustrating magnetic flux through a rectangular area. The setup is as follows: 1. **Rectangular Loop**: The diagram features a rectangular loop with an indicated height labeled as \( l \). 2. **Magnetic Field**: Dots inside and outside the loop represent a uniform magnetic field directed perpendicular to the plane of the loop. 3. **Moving Conductor**: A vertical, movable conductor (shaded gray) on the right side moves horizontally with a velocity \( v \), as indicated by a green arrow. 4. **Width of the Segment**: The width of the segment of the loop through which the magnetic field is passing, labeled \( dA \), is denoted by the distance between two dashed lines perpendicular to the direction of velocity. This diagram is commonly used to explain electromagnetic induction, Faraday's law, or the concept of induced electromotive force (emf) in a changing magnetic environment. The movement of the conductor through the magnetic field changes the magnetic flux through the loop, which may induce an emf according to Faraday's law of induction.
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