What is the resonant frequency of a series RLC circuit, if R is 47 ohms, L is 4 microhenrys and C is 8 picofarads?

Calculating resonant frequency requires the formula f = 1 / (2 * π * √(L * C)). The 47-ohm resistor determines the circuit's Q-factor (bandwidth) but has absolutely no effect on its center resonant frequency. Convert the components to base units: 4 μH becomes 4 × 10^-6 H and 8 pF becomes 8 × 10^-12 F. The product of L and C is 32 × 10^-18. Taking the square root gives approximately 5.65 × 10^-9. Multiplying by 2π and taking the reciprocal gives 28,134,000 Hz, which is 28.1 MHz. If you missed converting the prefixes correctly, you might end up with the kHz distractor.