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In the node voltage technique of solving networks, choice of a reference node does not
1. affect the operation of the circuit.
2. change the voltage across any element.
3. affect the pd between any pair of nodes.
4. affect the voltages of various nodes.
Q. Which of the above statements is/are true?
1. affect the operation of the circuit.
2. change the voltage across any element.
3. affect the pd between any pair of nodes.
4. affect the voltages of various nodes.
Q. Which of the above statements is/are true?
- a)1 only
- b)2, 3 and 4 only
- c)2 and 4 only
- d)1 and 3 only
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
In the node voltage technique of solving networks, choice of a referen...
Explanation:
Node voltage technique is a widely used method to find the voltages of different nodes in a circuit. In this technique, a reference node is chosen which is usually the node with the lowest potential. The other nodes are then numbered and their voltages with respect to the reference node are calculated using Kirchhoff's laws.
Let's analyze each statement given in the question:
1. Choice of a reference node does not affect the operation of the circuit.
- This statement is true because the choice of a reference node only affects the calculation of node voltages and does not affect the actual operation of the circuit.
2. Choice of a reference node does not change the voltage across any element.
- This statement is also true because the voltage across any element is the difference in voltage between its two terminals and is independent of the choice of reference node.
3. Choice of a reference node does not affect the pd between any pair of nodes.
- This statement is true because the potential difference between any two nodes is the difference in their voltages, which is independent of the choice of reference node.
4. Choice of a reference node does not affect the voltages of various nodes.
- This statement is false because the choice of reference node does affect the voltages of other nodes. The voltages of other nodes are calculated with respect to the reference node, so if the reference node is changed, the voltages of other nodes will also change.
Therefore, the correct answer is option 'B' - statements 2, 3, and 4 are true.
Node voltage technique is a widely used method to find the voltages of different nodes in a circuit. In this technique, a reference node is chosen which is usually the node with the lowest potential. The other nodes are then numbered and their voltages with respect to the reference node are calculated using Kirchhoff's laws.
Let's analyze each statement given in the question:
1. Choice of a reference node does not affect the operation of the circuit.
- This statement is true because the choice of a reference node only affects the calculation of node voltages and does not affect the actual operation of the circuit.
2. Choice of a reference node does not change the voltage across any element.
- This statement is also true because the voltage across any element is the difference in voltage between its two terminals and is independent of the choice of reference node.
3. Choice of a reference node does not affect the pd between any pair of nodes.
- This statement is true because the potential difference between any two nodes is the difference in their voltages, which is independent of the choice of reference node.
4. Choice of a reference node does not affect the voltages of various nodes.
- This statement is false because the choice of reference node does affect the voltages of other nodes. The voltages of other nodes are calculated with respect to the reference node, so if the reference node is changed, the voltages of other nodes will also change.
Therefore, the correct answer is option 'B' - statements 2, 3, and 4 are true.
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In the node voltage technique of solving networks, choice of a reference node does not1. affect the operation of the circuit.2. change the voltage across any element.3. affect the pd between any pair of nodes.4. affect the voltages of various nodes.Q. Which of the above statements is/are true?a)1 only b)2, 3 and 4 onlyc)2 and 4 only d)1 and 3 onlyCorrect answer is option 'B'. Can you explain this answer?
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