What is the resonant frequency of a series RLC circuit, if R is 47 ohms, L is 3 microhenrys and C is 15 picofarads?

The resonant frequency of an RLC circuit depends solely on the inductor and capacitor. The formula is f = 1 / (2 * π * √(L * C)). The resistance value provided (47 ohms) is extra information designed to test if you know the correct formula. Using the provided values, L = 3 × 10^-6 H and C = 15 × 10^-12 F. Multiplying these gives 45 × 10^-18. When you take the square root of that product, multiply by 2π, and invert the result (1/x), the math evaluates to 23.72 × 10^6 Hz. This converts perfectly to 23.7 MHz. The kHz distractors are present to catch unit conversion errors.