Electrical Engineering (EE) Exam > Electrical Engineering (EE) Questions > Considering the principle of duality, which o...
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Considering the principle of duality, which of the following pair is INVALID dual pair?
- a)Resistance and Conductance
- b)Impedance and Reactance
- c)Voltage and Current
- d)Inductance and Capacitance
Correct answer is option 'B'. Can you explain this answer?
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Considering the principle of duality, which of the following pair is I...
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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Considering the principle of duality, which of the following pair is I...
Invalid Dual Pair Explanation:
Resistance and Conductance are valid dual pairs in the principle of duality as they are reciprocals of each other. The same applies to Voltage and Current, as well as Inductance and Capacitance.
Impedance and Reactance:
- Impedance is a measure of the total opposition to current flow in an AC circuit, including resistance and reactance.
- Reactance, on the other hand, is the opposition to the change in current flow due to capacitance or inductance in the circuit.
- These two quantities are not reciprocals of each other and do not have a direct mathematical relationship that makes them a valid dual pair in the principle of duality.
Therefore, the invalid dual pair in the given options is Impedance and Reactance.
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Considering the principle of duality, which of the following pair is INVALID dual pair?a)Resistance and Conductanceb)Impedance and Reactancec)Voltage and Currentd)Inductance and CapacitanceCorrect answer is option 'B'. Can you explain this answer?
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