What is the resonant frequency of a series RLC circuit? (2020)

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Question: What is the resonant frequency of a series RLC circuit? (2020)

Options:

Correct Answer: f = 1/(2π√(LC))

Exam Year: 2020

Solution:

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

What is the resonant frequency of a series RLC circuit? (2020)

What is the resonant frequency of a series RLC circuit? (2020)

Step 1: Understand that a series RLC circuit consists of a resistor (R), an inductor (L), and a capacitor (C) connected in a single loop.
Step 2: Know that the resonant frequency is the frequency at which the circuit can oscillate with maximum amplitude.
Step 3: Learn the formula for resonant frequency, which is f = 1/(2π√(LC)).
Step 4: Identify the values of L (inductance in henries) and C (capacitance in farads) in your circuit.
Step 5: Plug the values of L and C into the formula to calculate the resonant frequency (f).
Step 6: Perform the calculations to find the value of f, which will be in hertz (Hz).

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