The resonance frequency of an LCR circuit is:
Correct answer: A. 1/2π√LC
- A. 1/2π√LC
- B. 2π√LC
- C. 1/2πLC
- D. 1/2π√L
Explanation
The resonance frequency of an LCR circuit is given by the formulaf = 1/2π√(LC)This formula arises from the balance of inductive and capacitive reactance at resonance, where 'L' is the inductance and 'C' is the capacitance. Option A correctly represents this relationship. Option B incorrectly places the 2π factor outside the fraction, which is not standard for resonance frequency. Option C omits the square root, which is essential for the correct computation of resonance frequency. Option D is a duplicate of Option A and is not considered correct in this context due to redundancy.
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Alternating current varies periodically, so phase relationships become essential when current passes through a resistor, capacitor or inductor. The chapter distinguishes resistance from capacitive and inductive reactance, explains phase lead and lag, and connects changing electric and magnetic fields with the production and properties of electromagnetic waves.
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