The resonant frequency of an RLC circuit is given by which formula? (2022)

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Question: The resonant frequency of an RLC circuit is given by which formula? (2022)

Options:

Correct Answer: f = 1/(2π√(LC))

Exam Year: 2022

Solution:

The resonant frequency f of an RLC circuit is given by f = 1/(2π√(LC)).

The resonant frequency of an RLC circuit is given by which formula? (2022)

The resonant frequency of an RLC circuit is given by which formula? (2022)

Step 1: Understand that an RLC circuit consists of a resistor (R), inductor (L), and capacitor (C).
Step 2: Know that the resonant frequency is the frequency at which the circuit can oscillate with maximum amplitude.
Step 3: The formula for the resonant frequency (f) involves the inductance (L) and capacitance (C) of the circuit.
Step 4: The formula is f = 1/(2π√(LC)).
Step 5: In this formula, π is a constant (approximately 3.14), and √(LC) means the square root of the product of L and C.

Resonant Frequency – The frequency at which an RLC circuit oscillates with maximum amplitude, determined by the inductance (L) and capacitance (C) of the circuit.
RLC Circuit – An electrical circuit consisting of a resistor (R), inductor (L), and capacitor (C) connected in series or parallel.
Formula Derivation – Understanding how the formula f = 1/(2π√(LC)) is derived from the principles of circuit theory.