What is the resonant frequency of a parallel RLC circuit if R is 4.7 kilohms, L is 1 microhenry and C is 10 picofarads?

The resonant frequency of a parallel RLC circuit is found using the exact same formula as a series circuit: f = 1 / (2π√(LC)). The parallel resistance (4.7 kilohms) affects the circuit's Q (bandwidth) but does not change the resonant frequency. Convert the given values to base units: L = 1 × 10^-6 H and C = 10 × 10^-12 F. The product L × C is 10^-17. Taking the square root gives roughly 3.162 × 10^-9. Multiplying by 2π gives about 1.987 × 10^-8. Taking the reciprocal (1 / x) results in 50,329,212 Hz, which rounds to 50.3 MHz. Options in kHz represent massive power-of-10 conversion errors.