Formula solvers — Q

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Q Factor of a Series Resonant Circuit

Q=1RLCQ = \frac{1}{R} \sqrt{\frac{L}{C}}

Electrical TradeElectricity & MagnetismQuality factor of a series RLC circuit, measuring how sharply it resonates and how much it magnifies voltage at resonance.

Quadratic Formula (Negative Root)

x=bb24ac2ax = \frac{-b - \sqrt{b^2 - 4ac}}{2a}

AlgebraThe smaller of the two solutions of ax² + bx + c = 0, taking the minus branch of the square root in the quadratic formula.

Quadratic Formula (Positive Root)

x=b+b24ac2ax = \frac{-b + \sqrt{b^2 - 4ac}}{2a}

AlgebraThe larger of the two solutions of ax² + bx + c = 0, taking the plus branch of the square root in the quadratic formula.

Quantization Signal-to-Noise Ratio

SNR=6.02n+1.76\mathit{SNR} = 6.02n + 1.76

Computer ScienceBest signal-to-noise ratio in decibels an ideal n-bit converter can achieve on a full-scale sine wave. Every extra bit is worth almost exactly 6 dB.