In an oscillating series RLC circuit, show that t:.UlU,

Chapter 31, Problem 27

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In an oscillating series RLC circuit, show that t:.UlU, the fraction of the energy lost per cycle of oscillation, is given to a close approximation by 27TR/wL. The quantity wLiR is often called the Q of the circuit (for quality). A high-Q circuit has low resistance and a low fractional energy loss (= 27T/Q) per cycle.

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