For each of the following situations, determine if there is an induced current in the loop, and if so, find the direction of the induced current. Defend your answers.

icon
Related questions
Question

For each of the following situations, determine if there is an induced current in the loop, and if so, find the direction of the induced current. Defend your answers.

### Description of Magnetic Fields and Moving Loop

**Text:**
"A loop is pulled out of a region in which the magnetic field is uniform and points out of the page. The magnetic field is perpendicular to the plane of the loop."

**Diagram Explanation:**

1. **Magnetic Field Representation:**
   - The diagram features a rectangular loop on a 2D plane.
   - Throughout a section of the diagram, blue dots are evenly spaced within a rectangular area. These dots represent the uniform magnetic field that points out of the page.
   - The magnetic field in this context is illustrated by dots: each dot indicates that the field lines are coming out of the page (denoted by \(\mathbf{B}\)).

2. **Loop Movement:**
   - The rectangular loop is shown moving out of the region with the magnetic field.
   - An arrow pointing to the right (drawn in green) with its tail at the bottom right corner of the loop indicates the direction in which the loop is being pulled.
 
**Key Points to Note:**
- **Magnetic Field Direction:** The magnetic field is perpendicular to the plane of the loop and is oriented outwards from the page, as indicated by the dots and the label \(\mathbf{B}\).
- **Uniform Field:** The magnetic field is uniform in the designated area, meaning it has the same strength and direction at all points within the marked region.
- **Action:** The loop is in the process of being extracted from the region with the magnetic field, the implication being a change in magnetic flux through the loop, which may induce an electromotive force (EMF) according to Faraday's Law of Electromagnetic Induction.

This setup is typically used to demonstrate principles such as:
- Induced EMF when a conducting loop moves through a magnetic field.
- Lenz's Law, which explains the direction of induced currents caused by changing magnetic flux.

This diagram and description can serve as a visual and conceptual aid on an educational website to explain fundamental electromagnetism concepts.
Transcribed Image Text:### Description of Magnetic Fields and Moving Loop **Text:** "A loop is pulled out of a region in which the magnetic field is uniform and points out of the page. The magnetic field is perpendicular to the plane of the loop." **Diagram Explanation:** 1. **Magnetic Field Representation:** - The diagram features a rectangular loop on a 2D plane. - Throughout a section of the diagram, blue dots are evenly spaced within a rectangular area. These dots represent the uniform magnetic field that points out of the page. - The magnetic field in this context is illustrated by dots: each dot indicates that the field lines are coming out of the page (denoted by \(\mathbf{B}\)). 2. **Loop Movement:** - The rectangular loop is shown moving out of the region with the magnetic field. - An arrow pointing to the right (drawn in green) with its tail at the bottom right corner of the loop indicates the direction in which the loop is being pulled. **Key Points to Note:** - **Magnetic Field Direction:** The magnetic field is perpendicular to the plane of the loop and is oriented outwards from the page, as indicated by the dots and the label \(\mathbf{B}\). - **Uniform Field:** The magnetic field is uniform in the designated area, meaning it has the same strength and direction at all points within the marked region. - **Action:** The loop is in the process of being extracted from the region with the magnetic field, the implication being a change in magnetic flux through the loop, which may induce an electromotive force (EMF) according to Faraday's Law of Electromagnetic Induction. This setup is typically used to demonstrate principles such as: - Induced EMF when a conducting loop moves through a magnetic field. - Lenz's Law, which explains the direction of induced currents caused by changing magnetic flux. This diagram and description can serve as a visual and conceptual aid on an educational website to explain fundamental electromagnetism concepts.
## Magnetic Fields and Induced Currents

### Concept Visualization: Induced EMF in a Moving Loop

**Scenario Description:**

A loop is pulled **out** of a region in which the magnetic field is uniform and directed to the right. The magnetic field is parallel to the plane of the loop.

**Diagram Explanation:**

- The diagram shows a rectangular loop being pulled to the right, indicated by a green arrow pointing right.
- The magnetic field (\(\vec{B}\)) is represented by blue arrows directed uniformly to the right, perpendicular to the left side of the loop.
- The magnetic field is parallel to the plane of the loop and fills the left region uniformly.

**Key Observations:**

1. As the loop exits the magnetic field region, the magnetic flux through the loop changes.
2. According to Faraday's Law of Electromagnetic Induction, a change in magnetic flux induces an electromotive force (EMF) in the loop.
3. The direction of the induced current (if loop is closed) will depend on Lenz's Law, which states that the induced current will oppose the change in flux through the loop.

This concept is fundamental in understanding how generators and transformers operate, as well as the principles behind electromagnetic induction.
Transcribed Image Text:## Magnetic Fields and Induced Currents ### Concept Visualization: Induced EMF in a Moving Loop **Scenario Description:** A loop is pulled **out** of a region in which the magnetic field is uniform and directed to the right. The magnetic field is parallel to the plane of the loop. **Diagram Explanation:** - The diagram shows a rectangular loop being pulled to the right, indicated by a green arrow pointing right. - The magnetic field (\(\vec{B}\)) is represented by blue arrows directed uniformly to the right, perpendicular to the left side of the loop. - The magnetic field is parallel to the plane of the loop and fills the left region uniformly. **Key Observations:** 1. As the loop exits the magnetic field region, the magnetic flux through the loop changes. 2. According to Faraday's Law of Electromagnetic Induction, a change in magnetic flux induces an electromotive force (EMF) in the loop. 3. The direction of the induced current (if loop is closed) will depend on Lenz's Law, which states that the induced current will oppose the change in flux through the loop. This concept is fundamental in understanding how generators and transformers operate, as well as the principles behind electromagnetic induction.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer