What is the resonant frequency of an RLC circuit if R is 33 ohms, L is 50 microhenries, and C is 10 picofarads?
Why Resonance depends only on L and C: f = 1 / (2π√(LC)). Here LC = (50 × 10^-6 H)(10 × 10^-12 F) = 5 × 10^-16, whose square root is 2.236 × 10^-8. Multiply by 2π to get 1.405 × 10^-7, and the reciprocal is about 7.12 × 10^6 Hz, or 7.12 MHz. The 33 ohm resistance affects Q and bandwidth but not the resonant frequency.
Watch out The 7.12 kHz choice has the right digits but is off by a factor of 1000, which is what you get from mishandling the micro and pico prefixes; watch that 50 µH is 50e-6 and 10 pF is 10e-12.
f = 1/(2π√LC), and R never enters it. Small L and C in the microhenry/picofarad range land you in the HF megahertz range.