Q2.Apply star delta transformation wherever necessary to determine the following a. The Total resistance as seen from terminals ab b. Determine the Total Current I 120 V 12.50 15.02 50 10.52 n 2002 3002
Q2.Apply star delta transformation wherever necessary to determine the following a. The Total resistance as seen from terminals ab b. Determine the Total Current I 120 V 12.50 15.02 50 10.52 n 2002 3002
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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STAR DELTA TRANSFORMATION ( NEED NEAT HANDWRITTEN SOLUTION ONLY OTHERWISE DOWNVOTE).

Transcribed Image Text:**Problem Statement:**
Q2. Apply star-delta transformation wherever necessary to determine the following:
a. The total resistance as seen from terminals \(ab\).
b. Determine the Total Current \(I\).
**Circuit Diagram Explanation:**
The provided circuit diagram consists of multiple resistors connected in a combination of series and parallel configurations:
- Terminals \(a\), \(b\), \(c\), and intermediate nodes \(m\) and \(n\) are labeled in the circuit.
- The circuit is powered by a 120 V voltage source connected across terminals \(a\) and \(b\).
- Resistor values are as follows:
- Between terminal \(a\) and node \(m\): \(12.5 \, \Omega\)
- Between node \(m\) and terminal \(b\): \(15 \, \Omega\)
- Between terminal \(a\) and node \(n\): \(10 \, \Omega\)
- Between node \(n\) and terminal \(b\): \(20 \, \Omega\)
- Between nodes \(m\) and \(n\): \(5 \, \Omega\)
- Across terminal \(a\) and \(b\): \(30 \, \Omega\)
**Goal:**
1. Determine the total resistance of the circuit as seen from terminals \(ab\).
2. Calculate the total current \(I\) flowing through the circuit by applying the concepts of star-delta transformation where necessary.
**Steps to Solve:**
1. **Identify Opportunities for Star-Delta Transformation:**
- Analyze the circuit to identify areas where star-delta transformations can simplify the combination of resistors.
2. **Simplify the Circuit:**
- Apply the star-delta transformation to the identified parts of the circuit.
- Combine series and parallel resistances step-by-step until the total equivalent resistance is found.
3. **Calculate Total Resistance:**
- Once the simplified circuit is obtained, total resistance \(R_{total}\) can be calculated as seen from terminals \(ab\).
4. **Calculate Total Current:**
- Using Ohm's Law \(I = \frac{V}{R_{total}}\), calculate the total current \(I\).
**Discussion:**
Detailed steps for calculations will be provided, including star-delta transformation equations and intermediate steps for combining resistances. Each step will clarify how the complex
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