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### Network Theorems,Example & Formula

In this article you will see in details about network theorems.We had already described mesh current and nodal voltage analysis of circuit problems.The process involves solving the number of equations based on the complexity of the network. Many networks require only restricted analysis.
• E.g., finding current with a particular resistor.
• Finding the value of the load resistance at which the maximum power will be transferred from the source to the load.

## Network Theorem

Some circuit theorems have been developed to solve such problems. For circuit solutions we will use a special theorem or method based on which less time is required in the calculation.Network theorem is based on circuit theorems discussed in this article are as follows
• Superposition theorem
• Thevenin’s theorem
• Norton’s theorem

#### Applications of network theorems

One question that have may comes in your mind that where network theorems are used? or what are the applications of network theorem ?

Network theorem applications are as follows
• It is used to states and explain Superposition theorem.
• It is applied to state and explain Millman’s theorem with example.
• It is used to set up the condition for max power transfer in a multiplex impedance circuit.
• To solve superposition theorem examples.
• To used Norton’s theorem and solve examples.

In addition, the circuit simplification citation using the star – delta transformation method has also been discussed with plenty of examples.

### 1.Superposition Theorem

To understand network theorem you should have proper idea about superposition theorem.An electrical circuit may have more than one source of supply. The supply source can be a voltage source or a current source. In solving circuit problems from multiple sources of supply, the effect of each source is calculated separately and the combined effect of all sources is taken into account.
This is the essence of the superposition theorem.

The superposition theorem states that "a linear network has more than one source, the current flowing in any branch is the algebraic sum of the currents generated one by one.The source is taken separately, with all other sources replaced by their respective internal resistances. If the internal resistance of a source is not provided, voltage sources will be less operational and current sources will be open circulated"

#### Superposition theorem examples

The example of superposition theorem is shown in the diagram given below.We will consider each source separately and calculate the current flowing through the BD branch. The 24 V source is taken by shortening the 12 V source as shown in the given diagram.

#### Superposition theorem formula

Given formula is used to calculate question related to superposition are given below :

### Thevenin’s Theorem

The application of this Thevenin's theorem is often useful when we want to determine the current flowing through any branch or component of a network.
We can easily determine the current through any component when it is necessary that the component be replaced. It takes time to use kirchchoff 's laws to calculate the branch current for the changed value of a resistor because we have to repeat the calculations.

The steps involved in applying Thevenin's theorem in calculating current in circuit components are as follows:
1. Remove the resistance from the circuit terminals through which the current will be determined.

2.Determine the open-circuit voltage that will appear in the circuit terminals, where the resistance is removed.

3.Calculate the equivalent resistance across the entire circuit across the terminals after the EMF sources have been replaced by their internal resistors (or only by short-circuiting if the internal resistance is not provided or not known) and keeping current sources open ( I,e considering having infinite resistance).

4.Calculate the current through R using the following relation

### Norton’s Theorem

We have seen earlier that in applying the Norton's theorem, a network is converted into a voltage source and an equal series resistance connected to the two terminals of any resistance through which the current is to be calculated.
By applying Norton's theorem, a network transforms into a constant current source and a parallel resistance across the terminals of resistance through which the current is to be calculated. Norton's theorem is as follows:

Norton's theorem states that " Any two-terminal network consisting of voltage sources and resistors can be converted to a constant current source and a parallel resistance. The magnitude of the constant current is equal.If the two terminals are less operational and it is a parallel current, the equivalent resistance of the entire network will be seen from the open transmission terminals after all voltage and current sources have been replaced by their internal resistors."

#### Conclusion

This Information about Network Theorem is provided to you for to guide you and create awareness about use,definition,formula,example and other information information related to this topic.If you have any question you can ask to us by commenting on below section.

### About N-Type and P-Type Semiconductor | Materials | Example |

Here you will know about  n type and p type semiconductor in details. You can already see about bonding in semiconductor . N type and P type semiconductor is used in electronic appliances.which is the basis of working of all the electronic devices.So lets discuss in this given topic in the details. N type and P Type Semiconductor When some impurities added to the pure semiconductor then it becomes extrinsic semiconductor and this process of adding impurities is known as doping.  Now it depends on the which type of impurities it added to the semiconductor (two types of impurities can be added to semiconductor pentavalent or trivalent). n-type semiconductor : If impurity that is added to the pure semiconductor is a pentavalent ( which has five valance electron ) then it is called n-type semi conductor. p-type semiconductor : If trivalent impurity is added to the semiconductor then it becomes p-type semi conductor. ( Note-List of  n type and p type semiconductor material is given below.

### Biasing of p–n Junction | Forward and Reverse-biased |

Biasing the p-n junction means applying some external voltage to both sides of the p-n junction. Reverse-biased junction and forward-biased junction are two types of biased junction. You should have also good understanding of  N-Type and P-Type Semiconductor before moving towards this topic. Biasing of p–n Junction  Biasing of a p–n junction  means uses of some external voltage across the two sides of the p–n junction. It is divided into two groups  Forward-biased junction :  When the p-side of junction  is connected to the positive terminal of a battery and the n-side of junction is connected to the negative terminal, the p–n junction is said to be a forward-biased junction.  Reverse-biased junction  :If the positive terminal of the battery is connected to the n-side of junction and the negative terminal on the p-side, the p–n junction is said to be a reverse-biased junction. Now we will see about forward and reverse-biased junction in detail.  Related Topic    Bonding in semiconduc

### Engineers Files Explained | Types of file

Today we will learn about engineers files explained, as we know hand tools are used to remove small amounts of material, usually from small areas of the workpiece.   Do you know why hand tools are used ?Hand tools are used because of following reason: If no machine is available,  The workpiece is too large to go on a machine  The shape is too intricate or simply that it would be too expensive to set up a machine to do the work. As you know the necessity of a hand tools now we will know about a hand tool , engineer's files. Engineer’s files Files are used to perform a variety of tasks, from simple removal of sharp edges to producing complex shapes where use of the device is impractical.Files can be obtained in a variety of shapes and in lengths from 150 mm to 350 mm. Single-cut file: When a file has a single series of teeth cut across its face it is called  single-cut file ,Figure of single-cut file is shown below. double-cut file: When a file has double series of teeth cut across