What is the resonant frequency of a parallel RLC circuit if R is 4.7 kilohms, L is 200 microhenrys and C is 10 picofarads?

To find the resonant frequency, you must use the formula f = 1 / (2π√(LC)). The resistance (R = 4.7 kilohms) does not dictate the resonant frequency and should be completely ignored during your calculation. Start by converting your components to base units: L = 200 × 10^-6 H and C = 10 × 10^-12 F. The product (L × C) is 2,000 × 10^-18. The square root of this product is approximately 4.472 × 10^-8. Multiply by 2π to get roughly 2.81 × 10^-7. Finally, take the reciprocal (1 / x) to find the frequency. This gives 3,558,800 Hz, which is standardly rounded to 3.56 MHz.