What is the value of inductance (L) in a parallel RLC circuit, if the resonant frequency is 14.25 MHz and C is 44 picofarads?

To find the inductance (L), start with the standard resonant frequency formula: f = 1 / (2 π √(LC)). To solve for L, you must square both sides and rearrange the equation to yield: L = 1 / (4 π² f² C). Next, insert the given values, making sure to convert them into base units: f = 14.25 × 10⁶ Hz and C = 44 × 10⁻¹² F. Squaring (2 π × 14.25 × 10⁶) gives approximately 8016 × 10¹². Finally, multiply this by the capacitance and divide 1 by the result. This gives an inductance of roughly 2.83 × 10⁻⁶ henrys, or 2.8 microhenrys. Common distractors typically arise from forgetting to square the 2πf term or dropping an exponent.