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Which of the following conditions is common to both series and parallel resonance?

Question

Which of the following conditions is common to both series and parallel resonance?

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Solution

The condition that is common to both series and parallel resonance is that the resonant frequency occurs when the reactance is equal to zero.

In a series RLC circuit, resonance occurs when the inductive reactance equals the capacitive reactance, causing them to cancel each other out. This results in the impedance of the circuit being at a minimum and the current at a maximum.

In a parallel RLC circuit, resonance occurs when the inductive reactance equals the capacitive reactance, causing them to cancel each other out. This results in the impedance of the circuit being at a maximum and the current at a minimum.

So, in both cases, the condition for resonance is that the inductive reactance equals the capacitive reactance.

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