What is the resonant frequency of a parallel RLC circuit if R is 4.7 kilohms, L is 40 microhenrys and C is 6 picofarads?

The resonant frequency of an RLC circuit is determined solely by its inductance (L) and capacitance (C). The resistance (R) value provided in the question is a distractor and is not used in the calculation. The standard formula to find the resonant frequency is f = 1 / (2π√(LC)). To solve, first convert the values to their base units: L = 40 × 10^-6 henrys and C = 6 × 10^-12 farads. Multiply L and C to get 240 × 10^-18. Taking the square root of this gives approximately 1.549 × 10^-8. Finally, multiply by 2π (about 6.283) to get 9.734 × 10^-8, and take the reciprocal (1 / x). The result is approximately 10,273,000 hertz, or 10.3 MHz. Options showing kHz instead of MHz are common pitfalls for those who mismanage the metric prefixes.