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Problem Find the total inductances

Problem Find the total inductances

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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### Problem 1 Find the total inductances. #### Diagram (a) - **Components:** - \( L_1 = 1 \, \text{H} \) - \( L_2 = 5 \, \text{H} \) Two inductors \( L_1 \) and \( L_2 \) are connected in series. #### Diagram (b) - **Components:** - \( L_1 = 100 \, \text{mH} \) - \( L_2 = 50 \, \text{mH} \) Two inductors \( L_1 \) and \( L_2 \) are connected in parallel. #### Diagram (c) - **Components:** - \( L_1 = 30 \, \text{mH} \) - \( L_2 = 20 \, \text{mH} \) - \( L_3 = 20 \, \mu\text{H} \) Three inductors \( L_1 \), \( L_2 \), and \( L_3 \) are connected in a delta (Δ) configuration. #### Diagram (d) - **Components:** - \( L_1 = 30 \, \text{mH} \) - \( L_2 = 50 \, \text{mH} \) Two inductors \( L_1 \) and \( L_2 \) are connected in parallel, followed by \( L_3 = 40 \, \text{mH} \) in series. #### Diagram (e) - **Components:** - \( L_1 = 4 \, \text{mH} \) - \( L_2 = 4 \, \text{mH} \) - \( L_3 = 4 \, \text{mH} \) Three inductors are all connected in parallel. #### Diagram (f) - **Components:** - \( L_1 = 3 \, \text{mH} \) - \( L_2 = 2 \, \text{mH} \) - \( L_3 = 3 \, \text{mH} \) The inductors are arranged with \( L_1 \) and \( L_2 \)
Transcribed Image Text:### Problem 1 Find the total inductances. #### Diagram (a) - **Components:** - \( L_1 = 1 \, \text{H} \) - \( L_2 = 5 \, \text{H} \) Two inductors \( L_1 \) and \( L_2 \) are connected in series. #### Diagram (b) - **Components:** - \( L_1 = 100 \, \text{mH} \) - \( L_2 = 50 \, \text{mH} \) Two inductors \( L_1 \) and \( L_2 \) are connected in parallel. #### Diagram (c) - **Components:** - \( L_1 = 30 \, \text{mH} \) - \( L_2 = 20 \, \text{mH} \) - \( L_3 = 20 \, \mu\text{H} \) Three inductors \( L_1 \), \( L_2 \), and \( L_3 \) are connected in a delta (Δ) configuration. #### Diagram (d) - **Components:** - \( L_1 = 30 \, \text{mH} \) - \( L_2 = 50 \, \text{mH} \) Two inductors \( L_1 \) and \( L_2 \) are connected in parallel, followed by \( L_3 = 40 \, \text{mH} \) in series. #### Diagram (e) - **Components:** - \( L_1 = 4 \, \text{mH} \) - \( L_2 = 4 \, \text{mH} \) - \( L_3 = 4 \, \text{mH} \) Three inductors are all connected in parallel. #### Diagram (f) - **Components:** - \( L_1 = 3 \, \text{mH} \) - \( L_2 = 2 \, \text{mH} \) - \( L_3 = 3 \, \text{mH} \) The inductors are arranged with \( L_1 \) and \( L_2 \)
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