PHY2049_20100406013357_Chapter 31 RLC charging capacitor problem

PHY2049_20100406013357_Chapter 31 RLC charging capacitor problem

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8. A series RLC circuit has R = 1.200Ω, L = 220.0mH, C = 12.00μF. What fraction of its original maximum charge does the capacitor attain after one cycle? (1) 0.9725 (2) 0.9925 (3) 0.9825 (4) 0.9625 (5) 0.9993 In RLC circuits, the capacitor equation for charge becomes ( 29 2 cos Rt L q Qe t ϖ φ - = + The most troublesome thing about this equation is the ( 29 cos t + . Fortunately, we know that the maximum charge would come when ( 29 cos 1 t + = . And after a “complete cycle” of the wave, we know that the cosine would return to its original value, which is also 1. Thus, the equation reduces to 2 Rt L q Qe - = A “cycle” represents the time. It can be found from the equation for natural frequency,
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