6 mH 8 mH 5 mH 12 mH 8 mH 6 mH 4 mH ello 10 mH bo 8 mH

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Find the equivalent inductance of the figure given below

This diagram illustrates an electrical circuit comprising inductors of various inductance values, all measured in millihenries (mH). It is structured between two points, labeled \(a\) and \(b\), with the following configuration:

- **Path from \(a\) to the Junction:**
  - A 6 mH inductor connected directly to the primary junction point.
  - From this point, the circuit branches into two paths:
  
- **Upper Path:**
  - An 8 mH inductor leads to another junction.
  - From this second junction, a 5 mH inductor connects in parallel to the central section.
  - Continuing along this top path, a 12 mH inductor extends to facilitate completion of the upper loop.

- **Lower Path:**
  - An 8 mH inductor proceeds to the base of the configuration, joining with the central path.

- **Central Bridge:**
  - A 6 mH inductor connects the upper and lower paths at each central junction.
  - A 4 mH inductor aligns in series continuation from the central segment towards point \(b\).

- **Path from Junction to \(b\):**
  - Another branch has a 10 mH inductor connecting the lower junction directly to point \(b\).

These inductors form an intricate network highlighting different routes for electrical current, effectively a mix of series and parallel configurations. The circuit diagram is a practical representation for analyzing inductance effects across various pathways.
Transcribed Image Text:This diagram illustrates an electrical circuit comprising inductors of various inductance values, all measured in millihenries (mH). It is structured between two points, labeled \(a\) and \(b\), with the following configuration: - **Path from \(a\) to the Junction:** - A 6 mH inductor connected directly to the primary junction point. - From this point, the circuit branches into two paths: - **Upper Path:** - An 8 mH inductor leads to another junction. - From this second junction, a 5 mH inductor connects in parallel to the central section. - Continuing along this top path, a 12 mH inductor extends to facilitate completion of the upper loop. - **Lower Path:** - An 8 mH inductor proceeds to the base of the configuration, joining with the central path. - **Central Bridge:** - A 6 mH inductor connects the upper and lower paths at each central junction. - A 4 mH inductor aligns in series continuation from the central segment towards point \(b\). - **Path from Junction to \(b\):** - Another branch has a 10 mH inductor connecting the lower junction directly to point \(b\). These inductors form an intricate network highlighting different routes for electrical current, effectively a mix of series and parallel configurations. The circuit diagram is a practical representation for analyzing inductance effects across various pathways.
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