What is the resonant frequency of an RLC circuit if R is 22 ohms, L is 50 microhenries, and C is 40 picofarads?

To find the resonant frequency of an RLC circuit, you use the standard formula: f = 1 / (2 × π × √(L × C)). The resistance (R) of 22 ohms is a distractor in this problem and does not affect the resonant frequency. First, convert the given values to standard base units: Inductance (L) is 50 microhenries (50 × 10^-6 H) and Capacitance (C) is 40 picofarads (40 × 10^-12 F). Multiply L and C together to get 2,000 × 10^-18. Take the square root of that product to get approximately 4.472 × 10^-8. Multiply by 2π (about 6.283) to get 2.81 × 10^-7. Finally, take the reciprocal (1 / x) to find the frequency, which equals roughly 3,558,000 Hz, or 3.56 MHz.