What is the formula for the resonant frequency of an RLC circuit? (2021)

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Question: What is the formula for the resonant frequency of an RLC circuit? (2021)

Options:

Correct Answer: f = 1/(2π√(LC))

Exam Year: 2021

Solution:

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

What is the formula for the resonant frequency of an RLC circuit? (2021)

What is the formula for the resonant frequency of an RLC circuit? (2021)

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 (pi) is a constant approximately equal to 3.14, and √(LC) means the square root of the product of L and C.

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