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Two networks are said to be dual when
- a)Their node equations are the same
- b)The loop equations of one network are analogous to the node equations of the other
- c)Their loop equations are the same
- d)The voltage sources of one network are the current sources of the other
Correct answer is option 'B'. Can you explain this answer?
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Two networks are said to be dual whena)Their node equations are the sa...
Duality:
- Two electrical networks are said to be dual networks if the mesh equations of one network are equal to the node equation of others.
- Identical behavior patterns observed between voltages and currents in two circuits illustrate the principle of duality.
- The dual networks are based on Kirchhoff Current Law and Kirchhoff Voltage Law.
Some important dual relations are given below.
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Two networks are said to be dual whena)Their node equations are the sa...
Definition of Dual Networks:
Dual networks are two networks that have a special relationship with each other. When two networks are dual, the loop equations of one network are analogous to the node equations of the other network.
Explanation:
- When two networks are dual, the loop equations of one network can be transformed into node equations of the other network. This means that the variables in one network's loop equations correspond to the variables in the other network's node equations.
- Dual networks have a unique relationship where the analysis of one network can be directly applied to the analysis of the other network by simply interchanging nodes and loops.
- This duality property is particularly useful in simplifying complex network analysis problems as it allows for easier translation between loop and node analysis techniques.
Advantages of Dual Networks:
- Dual networks provide a method for simplifying complex network analysis problems by allowing direct translation between loop and node analysis techniques.
- By recognizing the duality between two networks, engineers can leverage the analysis done on one network to quickly derive solutions for the dual network.
In conclusion, dual networks are characterized by the relationship where the loop equations of one network are analogous to the node equations of the other network. This property is useful in simplifying network analysis problems and allows for easier translation between loop and node analysis techniques.
Dual networks are two networks that have a special relationship with each other. When two networks are dual, the loop equations of one network are analogous to the node equations of the other network.
Explanation:
- When two networks are dual, the loop equations of one network can be transformed into node equations of the other network. This means that the variables in one network's loop equations correspond to the variables in the other network's node equations.
- Dual networks have a unique relationship where the analysis of one network can be directly applied to the analysis of the other network by simply interchanging nodes and loops.
- This duality property is particularly useful in simplifying complex network analysis problems as it allows for easier translation between loop and node analysis techniques.
Advantages of Dual Networks:
- Dual networks provide a method for simplifying complex network analysis problems by allowing direct translation between loop and node analysis techniques.
- By recognizing the duality between two networks, engineers can leverage the analysis done on one network to quickly derive solutions for the dual network.
In conclusion, dual networks are characterized by the relationship where the loop equations of one network are analogous to the node equations of the other network. This property is useful in simplifying network analysis problems and allows for easier translation between loop and node analysis techniques.
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Two networks are said to be dual whena)Their node equations are the sameb)The loop equations of one network are analogous to the node equations of the otherc)Their loop equations are the samed)The voltage sources of one network are the current sources of the otherCorrect answer is option 'B'. Can you explain this answer?
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