Title: Understanding the Magnetic Field in a LoudspeakerThe 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.

Given Data The magnetic field intensity is:H=4×104 A/m The length of the permanent magnet is:lm=25…

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

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.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Thermal Properties of Materials

In mechanical engineering, the thermal property is represented as the physical quantity that is relevant to the application of heat. The thermal properties are evaluated by variations in any specific material due to low heat or high heat. The quantities that influence the thermal property of the materials are mass, density, temperature, and many others.

Question

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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