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Exp4.delta-Star Connection PDF

This experiment aims to study the properties of delta-star connections. The document describes how to convert between delta and star connections using resistance equations. It provides the procedure to set up delta and star circuits using a DC circuit trainer, measure currents experimentally, and compare the results to theoretical calculations. The goal is to verify the equivalence of delta and star configurations and observe Kirchhoff's laws.

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2K views5 pages

Exp4.delta-Star Connection PDF

This experiment aims to study the properties of delta-star connections. The document describes how to convert between delta and star connections using resistance equations. It provides the procedure to set up delta and star circuits using a DC circuit trainer, measure currents experimentally, and compare the results to theoretical calculations. The goal is to verify the equivalence of delta and star configurations and observe Kirchhoff's laws.

Uploaded by

pitamberverma
Copyright
© Attribution Non-Commercial (BY-NC)
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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DC circuit laboratory

Experiment No. 4

Delta Star connection

Aim of experiment: To study the properties of delta-star connection.


U U

Apparatus
U

1. DC circuit training system 2. Set of wires. 3. DC Power supply 4. Digital A.V.O. meter

Theory
U

In solving networks (having considerable number of branches) by the application of Kirchhoff's Laws, one sometimes experiences great difficulty due to a large number of simultaneous equation that have to be solve. However, such complicated networks can simplify by successively replacing delta meshes by equivalent star systems and vice versa.

1 R13 R12 R1

2 R23 3

R3

R2 2 3

Delta-connection (b) Fig (1)

Star-connection (a)

DC circuit laboratory Suppose we are given three resistance R 12 ,R 23 and R 13 connected in delta fashion between terminals 1,2 and 3 as in Fig.(1-a). So far as the respective terminals are concerned, these given three resistances can be replaced by the three resistances R 1 , R 2 and R 3 connected in star as shown in Fig.(1-b). These two arrangements will be electrically equivalent if the resistance as measured between any pair of terminals is the same in both arrangements.

1. To convert from delta connection to star connection

R1 =

R 12 R 13 R 12 + R 23 + R 13
R 12 R 23 R 12 + R 23 + R 13

R2 =

R3 =

R 23 R 13 R 12 + R 23 + R 13

2. To convert from star connection to delta connection

R 12 = R 1 + R 2 +

R1 R 2 R3
R3 R2 R1
R 3 R1 R2

R 23 = R 2 + R 3 +

R 13 = R 1 + R 3 +

Procedure
1. Using the DC circuit trainer, connect the circuit shown below. 2. Measure "I 1, I 2 , I 3 " practically. 3. Record your results in the table below 4. By using delta-star conversion, find the star resistance R 1 , R 2 , R 3 theoretically.

DC circuit laboratory
50

I1
5V

20

20

I2

5V

5. Using the DC circuit trainer, connect the circuit shown below: 20 20

40

I3

A 40

I2

I1
5V

5V

I3

DC circuit laboratory 6. Measure "I 1 , I 2 , I 3 " practically. 7. Record your results in the table below I1 I2 Delta connection Star connection 8. Connect circuit the circuit shown in Figure below and measured the equivalent resistance between any two terminals "1-2, 2-3, 1-3" by using AVO meter. 50

I3

20

20

1 100 100 40

9. Using the DC circuit trainer, Connect circuit the circuit shown in Figure below and measured the equivalent resistance between any two terminals "12, 2-3, 1-3" by using AVO meter.

DC circuit laboratory

50

100

100

3 Discussion
1. Comment on your results. 2. Compare between the practical and theoretical results. 3. Comment on step 8 and step 9 4. Find I T and R T for the circuit below IT

8v 5

1.5

10 2 3 RT 2 3 3

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