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Electric Oscillations

Problem 4.140

A source of sinusoidal emf with constant voltage is connected in series with an oscillating circuit with quality factor \(Q=\) \(=100 .\) At a certain frequency of the external voltage the heat power generated in the circuit reaches the maximum value. How much (in per cent) should this frequency be shifted to decrease the power generated \(n=2.0\) times?

Reveal Answer
 For Q≫1 the ratio is Δω/ω0≈1/2n−1/Q=0.5% . \text { For } Q \gg 1 \text { the ratio is } \Delta \omega / \omega_{0} \approx 1 / 2 \sqrt{n-1} / Q=0.5 \% \text { . }
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