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Which of the following does not have dual relationship?
  • a)
    Current-Voltage
  • b)
    Inductance-Capacitance
  • c)
    Tie-set-Cut-set
  • d)
    Resistance-Reactance
Correct answer is option 'D'. Can you explain this answer?
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Which of the following does not have dual relationship?a)Current-Volta...
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Which of the following does not have dual relationship?a)Current-Volta...
Explanation:

Dual relationship is a concept in electrical engineering that describes the relationship between two variables and their reciprocal relationship. In dual relationship, the variables are related to each other in such a way that they are interchangeable in a given equation. In other words, if you interchange the variables, the equation will still be valid.

For example, in the relationship between voltage and current, the reciprocal relationship is expressed as follows:

V = IR

Where V is the voltage, I is the current, and R is the resistance. The reciprocal of this relationship is:

I = V/R

This means that if you interchange the variables (V and I), the equation will still be valid.

Now, let's look at the options provided in the question:

a) Current-Voltage: This has a dual relationship as explained above.

b) Inductance-Capacitance: This also has a dual relationship. The reciprocal relationship is expressed as follows:

C = 1/(w^2L)

Where C is the capacitance, L is the inductance, and w is the angular frequency. The reciprocal of this relationship is:

L = 1/(w^2C)

c) Tie-set-Cut-set: This has a dual relationship. A tie-set is a set of branches that connects two non-adjacent nodes in a graph, while a cut-set is a set of branches that, when removed from the graph, disconnects the graph into two parts. The reciprocal relationship is expressed as follows:

Number of tie-sets = Number of cut-sets

d) Resistance-Reactance: This does not have a dual relationship. Resistance and reactance are not interchangeable in any given equation.

Conclusion:

Therefore, the correct answer is option 'D', which is Resistance-Reactance.
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