High School

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A resistor, a capacitor, and an inductor are connected in series with a 164 V generator. At what frequency is the current maximum?

A. Resonance frequency
B. Natural frequency
C. Cutoff frequency
D. Nyquist frequency

Answer :

Final answer:

The current maximum in an RLC series circuit occurs at the resonance frequency, where the inductive and capacitive reactances cancel out.

Explanation:

The current maximum in an RLC series circuit is achieved at the resonance frequency. This is the frequency at which the inductive reactance and capacitive reactance are equal in magnitude but opposite in phase, causing them to cancel each other out. As a result, the total impedance of the circuit is minimized and limited only by the resistance of the resistor. The resonance frequency can be calculated using the formula:

fo = 1 / (2π√(LC))

where L is the inductance of the inductor, C is the capacitance of the capacitor, and π (pi) is a mathematical constant approximately equal to 3.14159.

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