Electronics and Communication Engineering (ECE) Exam > Electronics and Communication Engineering (ECE) Questions > Consider the following statements:Any elemen...
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Consider the following statements:
Any element connected in
Series with an ideal current source is redundant.
Parallel with an ideal current source is redundant.
Series with an ideal voltage source is redundant.
Parallel with an ideal voltage source is redundant.
Which of the above statements is/are correct?
- a)1 only
- b)2 and 3
- c)2 only
- d)1 and 4
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
Consider the following statements:Any element connected in Series w...
Explanation:
In a circuit, the term "redundant" refers to an element or component that does not affect the overall behavior or performance of the circuit. It means that the presence or absence of that particular element does not change the current or voltage in the rest of the circuit.
Series with an ideal current source is redundant:
When an ideal current source is connected in series with any other element, the current passing through that element will be the same as the current provided by the ideal current source. Since the current is the same, the element does not affect the overall behavior of the circuit. Therefore, any element connected in series with an ideal current source is redundant.
Parallel with an ideal current source is redundant:
When an ideal current source is connected in parallel with any other element, the current provided by the ideal current source will split between the two paths. However, the current through the other element will still be determined by the voltage across it and its own impedance. The presence of the ideal current source does not change the current through the other element. Therefore, any element connected in parallel with an ideal current source is redundant.
Series with an ideal voltage source is redundant:
When an ideal voltage source is connected in series with any other element, the voltage across that element will be the same as the voltage provided by the ideal voltage source. Since the voltage is the same, the element does not affect the overall behavior of the circuit. Therefore, any element connected in series with an ideal voltage source is redundant.
Parallel with an ideal voltage source is redundant:
When an ideal voltage source is connected in parallel with any other element, the voltage across the other element will still be determined by the current passing through it and its own impedance. The presence of the ideal voltage source does not change the voltage across the other element. Therefore, any element connected in parallel with an ideal voltage source is redundant.
Conclusion:
Based on the above explanations, the correct statements are:
1) Any element connected in series with an ideal current source is redundant.
4) Any element connected in parallel with an ideal voltage source is redundant.
In a circuit, the term "redundant" refers to an element or component that does not affect the overall behavior or performance of the circuit. It means that the presence or absence of that particular element does not change the current or voltage in the rest of the circuit.
Series with an ideal current source is redundant:
When an ideal current source is connected in series with any other element, the current passing through that element will be the same as the current provided by the ideal current source. Since the current is the same, the element does not affect the overall behavior of the circuit. Therefore, any element connected in series with an ideal current source is redundant.
Parallel with an ideal current source is redundant:
When an ideal current source is connected in parallel with any other element, the current provided by the ideal current source will split between the two paths. However, the current through the other element will still be determined by the voltage across it and its own impedance. The presence of the ideal current source does not change the current through the other element. Therefore, any element connected in parallel with an ideal current source is redundant.
Series with an ideal voltage source is redundant:
When an ideal voltage source is connected in series with any other element, the voltage across that element will be the same as the voltage provided by the ideal voltage source. Since the voltage is the same, the element does not affect the overall behavior of the circuit. Therefore, any element connected in series with an ideal voltage source is redundant.
Parallel with an ideal voltage source is redundant:
When an ideal voltage source is connected in parallel with any other element, the voltage across the other element will still be determined by the current passing through it and its own impedance. The presence of the ideal voltage source does not change the voltage across the other element. Therefore, any element connected in parallel with an ideal voltage source is redundant.
Conclusion:
Based on the above explanations, the correct statements are:
1) Any element connected in series with an ideal current source is redundant.
4) Any element connected in parallel with an ideal voltage source is redundant.
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Community Answer
Consider the following statements:Any element connected in Series w...
⟶ From figure (a), observe that if we keep or remove R1, the load voltage and current are the same. So, R1 is redundant here.
⟶ From figure (b), observe that if we keep or remove R1, VL & lL are the same and hence redundant.
⟶ Note that in figure (a), R1 can't be ∞ and in figure (b), R1 can't be 0, as it will result in violation of Kirchoff law.
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Consider the following statements:Any element connected in Series with an ideal current source is redundant. Parallel with an ideal current source is redundant. Series with an ideal voltage source is redundant. Parallel with an ideal voltage source is redundant. Which of the above statements is/are correct?a)1 onlyb)2 and 3c)2 onlyd)1 and 4Correct answer is option 'D'. Can you explain this answer?
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