Find the resistance RAB 14.4 Q14.4 014.4 014.4 Q14.4 014.4 014.4 Qwwwww14.4 014.4 0wwww

Answered: 14.4 Q 14.4 0 www 14.4 Q 14.40 14.4 Q…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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Question

Find the resistance R_AB

14.4 Q
14.4 0
14.4 0
14.4 Q
14.4 0
14.4 0
14.4 Q
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14.4 0
14.4 0
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Expert Solution

Step 1

Given circuit:

Step 2

Solution:

On applying Delta-Star conversion in Delta 1 and Delta 2.

For a balanced delta to star conversion.

$R_{(star)} = \frac{R_{(Delta)}}{3} R_{(star)} = \frac{14.4}{3} R_{(star)} = 4.8 Ω$

The modified circuit is,

For the selected part,

$R_{eq} = (14.4 + 14.4) ∥ 14.4 R_{eq} = 28.8 ∥ 14.4 R_{eq} = \frac{28.8 \times 14.4}{28.8 + 14.4} R_{eq} = 9.6 Ω$

Therefore equivalent circuit become,

For the selected part,

$R_{eq} = (4.8 + 9.6 + 4.8) ∥ (4.8 + 4.8) R_{eq} = 19.2 ∥ 9.6 R_{eq} = \frac{19.2 \times 9.6}{19.2 + 9.6} R_{eq} = 6.4 Ω$

The equivalent circuit become,

From the circuit,

$R_{eq} = 4.8 + 6.4 + 4.8 R_{eq} = 16 Ω$

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