What is the resonant frequency of a series RLC circuit, if R is 47 ohms, L is 1 microhenry and C is 9 picofarads?

To find the resonant frequency of an RLC circuit, use the formula f = 1 / (2π√(LC)). The resistance (R) does not affect the resonant frequency, so the 47 ohms can be completely ignored for this calculation. First, convert the values to standard units: Inductance (L) is 1 × 10^-6 henrys and Capacitance (C) is 9 × 10^-12 farads. Multiplying L and C gives 9 × 10^-18. The square root of this product is 3 × 10^-9. Finally, multiply by 2π to get approximately 1.885 × 10^-8. Dividing 1 by this result yields about 53,051,647 Hz, or 53.1 MHz. Distractors usually stem from missing the 2π term or miscalculating the decimal places.