The figure shows a cross section of a conventional loudspeaker. A voice coil (driven by the audio signal and connected to a lightweight cone) is suspended in a gap in an iron yoke, which has the form of a cylindrical cup with a center pedestal. The center pedestal is a permanent cylindrical magnet (length of 25mm and diameter of 20mm), which generates a magnetic field intensity of H=4x104 [A/m] throughout its length. Estimate the B-field in the 2.5mm gap near the voice coil. Assume that the reluctance of the yoke is negligible. Note that the magneto-motive force of a permanent magnetic is the product of H times its length. 10 mm 2.5 mm 25 mm voice coil ㅓㅏㅏ Iron "yoke" booood N S pooooo permanent magnet top view

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Title: Understanding the Magnetic Field in a Loudspeaker

The image illustrates a cross-section of a conventional loudspeaker. In this setup, a voice coil—driven by an audio signal and attached to a lightweight cone—is suspended in a gap within an iron yoke. This yoke is designed as a cylindrical cup featuring a central pedestal.

**Key Components:**
1. **Voice Coil:** Connected to the audio signal and cone.
2. **Iron Yoke:** Cylindrical in shape, providing structural support.
3. **Permanent Magnet:** Situated at the center, it's cylindrical with a length of 25mm and a diameter of 20mm. It creates a magnetic field with an intensity of \( H = 4 \times 10^4 \) A/m throughout its length.

**Objective:**
- Estimate the magnetic \( B \)-field present in the 2.5mm gap near the voice coil.

**Assumptions:**
- The reluctance of the yoke is negligible.
- The magneto-motive force of the permanent magnet is the product of \( H \) times its length.

**Diagrams:**

1. **2D Diagram (Side View):** 
   - Shows the configuration with the yoke and the permanent magnet. The labeled measurements are:
     - Gap: 2.5mm near the voice coil.
     - Magnet Length: 25mm.
     - Yoke Diameter: Total 10mm.

2. **Top View Diagram:**
   - Provides a circular view of the loudspeaker components, helping to visualize the placement of the voice coil and magnet.

This cross-sectional analysis aids in understanding the distribution and function of the magnetic fields in a loudspeaker, crucial for converting electrical signals into sound efficiently.
Transcribed Image Text:Title: Understanding the Magnetic Field in a Loudspeaker The image illustrates a cross-section of a conventional loudspeaker. In this setup, a voice coil—driven by an audio signal and attached to a lightweight cone—is suspended in a gap within an iron yoke. This yoke is designed as a cylindrical cup featuring a central pedestal. **Key Components:** 1. **Voice Coil:** Connected to the audio signal and cone. 2. **Iron Yoke:** Cylindrical in shape, providing structural support. 3. **Permanent Magnet:** Situated at the center, it's cylindrical with a length of 25mm and a diameter of 20mm. It creates a magnetic field with an intensity of \( H = 4 \times 10^4 \) A/m throughout its length. **Objective:** - Estimate the magnetic \( B \)-field present in the 2.5mm gap near the voice coil. **Assumptions:** - The reluctance of the yoke is negligible. - The magneto-motive force of the permanent magnet is the product of \( H \) times its length. **Diagrams:** 1. **2D Diagram (Side View):** - Shows the configuration with the yoke and the permanent magnet. The labeled measurements are: - Gap: 2.5mm near the voice coil. - Magnet Length: 25mm. - Yoke Diameter: Total 10mm. 2. **Top View Diagram:** - Provides a circular view of the loudspeaker components, helping to visualize the placement of the voice coil and magnet. This cross-sectional analysis aids in understanding the distribution and function of the magnetic fields in a loudspeaker, crucial for converting electrical signals into sound efficiently.
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