What is the resonant frequency of a parallel RLC circuit if R is 4.7 kilohms, L is 10 microhenrys and C is 50 picofarads?

In an RLC circuit, the resonant frequency depends entirely on the inductor and capacitor. The given resistance of 4.7 kilohms is extra information intended to test your knowledge of the resonance formula, which is f = 1 / (2π√(LC)). Convert the given values to standard units: 10 microhenrys becomes 10 × 10^-6 H, and 50 picofarads becomes 50 × 10^-12 F. Multiplying these together yields 500 × 10^-18. The square root of this value is about 2.236 × 10^-8. Multiply by 2π to get approximately 1.405 × 10^-7. Dividing 1 by this number yields roughly 7,117,000 Hz. Converted to megahertz, this is 7.12 MHz.