What is the resonant frequency of a parallel RLC circuit if R is 4.7 kilohms, L is 15 microhenrys and C is 5 picofarads?

The fundamental formula for calculating resonant frequency is f = 1 / (2π√(LC)). In this problem, the resistance value (4.7 kilohms) is a distractor included to test your understanding of what actually determines resonance. Only the inductor and capacitor values matter. First, convert the inductor and capacitor into their base units of henrys and farads: 15 × 10^-6 H and 5 × 10^-12 F. Multiplying these together gives 75 × 10^-18. Taking the square root results in about 8.66 × 10^-9. Next, multiply by 2π to get roughly 54.41 × 10^-9. Finally, calculate the reciprocal (1 / x) to find the frequency in hertz. The answer is approximately 18,370,000 Hz, which is expressed as 18.4 MHz.