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Delta to Star Conversion - Network Theory (Electric Circuits) - Electrical
Delta Network
Consider the following delta network as shown in the following figure.
The following equations represent the equivalent resistance between two terminals of delta network, when the third terminal is kept open.
Star Network
The following figure shows the equivalent star network corresponding to the above delta network.
The following equations represent the equivalent resistance between two terminals of star network, when the third terminal is kept open.
RAB = RA + RB
RBC = RB + RC
RCA = RC + RAQuestion for Delta to Star ConversionTry yourself:Star connection is also known as ________. View Solution
Conversion of Star Network Resistances into Delta Network Resistances
- We will get the following equations by equating the right-hand side terms of the above equations for which the left-hand side terms are same.
Equation 1
Equation 2
Equation 3 - By adding the above three equations, we will get
Equation 4 - Subtract Equation 2 from Equation 4.
- By subtracting Equation 3 from Equation 4, we will get
- By subtracting Equation 1 from Equation 4, we will get
- By using the above relations, we can find the resistances of star network from the resistances of delta network. In this way, we can convert a delta network into a star network.
Solved Example
Example.1 Let us calculate the resistances of star network, which are equivalent to that of delta network as shown in the following figure.
- Given the resistances of delta network as R1 = 10 Ω, R2 = 60 Ω and R3 = 30 Ω.
- We know the following relations of the resistances of star network in terms of resistances of delta network.
- Substitute the values of R1, R2 and R3 in the above equations.
- So, we got the resistances of star network as RA = 6 Ω, RB = 18 Ω and RC = 3 Ω, which are equivalent to the resistances of the given delta network.
Question for Delta to Star ConversionTry yourself:The value of the 3 resistances when connected in star connection is ________.
View Solution
The document Delta to Star Conversion - Network Theory (Electric Circuits) - Electrical Engineering (EE) is a part of the Electrical Engineering (EE) Course Network Theory (Electric Circuits).
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FAQs on Delta to Star Conversion - Network Theory (Electric Circuits) - Electrical Engineering (EE)
| 1. What is a Delta network? |  |
Ans. A Delta network is a type of computer network topology where the nodes are connected in a triangular fashion. Each node is connected to two other nodes, forming a closed loop. This topology is commonly used in communication networks, especially in situations where high fault tolerance and scalability are required.
| 2. What is a Star network? | |
Ans. A Star network is a type of computer network topology where all nodes are connected to a central hub or switch. Each node communicates with the central hub, which acts as a central point of control and data distribution. This topology is widely used in Ethernet networks, as it provides simplicity and ease of management.
| 3. How can a Delta network be converted to a Star network? | |
Ans. To convert a Delta network to a Star network, we need to introduce a central hub or switch to serve as the central point of communication. Each node in the Delta network is then connected to the central hub, effectively creating a Star network topology. This conversion can be achieved by physically rewiring the network or by using appropriate networking equipment.
| 4. What are the advantages of converting a Delta network to a Star network? | |
Ans. Converting a Delta network to a Star network offers several advantages. Firstly, it simplifies the network's structure, making it easier to manage and troubleshoot. Secondly, it improves fault tolerance as any failure in one node does not affect the entire network. Additionally, it allows for easier scalability, as new nodes can be easily added by connecting them to the central hub.
| 5. Are there any drawbacks to converting a Delta network to a Star network? | |
Ans. While converting a Delta network to a Star network has its advantages, there are some potential drawbacks to consider. One drawback is that the central hub becomes a single point of failure. If the hub fails, the entire network may be affected. Additionally, the conversion may require additional cabling and networking equipment, which can increase costs. It is important to carefully evaluate the specific needs and requirements of the network before deciding to convert from a Delta to a Star topology.
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Feb 18, 2026 Last updated
Document Description: Delta to Star Conversion for Electrical Engineering (EE) 2026 is part of Network Theory (Electric Circuits) preparation. The notes and questions for Delta to Star Conversion have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about Delta to Star Conversion covers topics like and Delta to Star Conversion Example, for Electrical Engineering (EE) 2026 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Delta to Star Conversion.
Introduction of Delta to Star Conversion in English is available as part of our Network Theory (Electric Circuits) for Electrical Engineering (EE) & Delta to Star Conversion in Hindi for Network Theory (Electric Circuits) course. Download more important topics related with notes, lectures and mock test series for Electrical Engineering (EE) Exam by signing up for free. Electrical Engineering (EE): Delta to Star Conversion - Network Theory (Electric Circuits) - Electrical Engineering (EE)
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