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An inductor and a capacitor are connected, as shown in Figure 29-30. Initially, the switch is open, and the left plate of the capacitor has charge Q,. The switch is then closed. (a) Plot both Q versus t and I versus t on the same graph, and ex- plain how it can be seen from these two plots that the current leads the charge by 90°. (b) The ex- pressions for the charge and for the current are given by Equations 29-38 and 29-39, respectively. Use trigonometry and algebra to show that the current leads the charge by 90°. SSM L. +Qo |-Qo C FIGURE 29-30 Problem 33

An inductor and a capacitor are connected, as shown in Figure 29-30. Initially, the switch is open, and the left plate of the capacitor has charge Q,. The switch is then closed. (a) Plot both Q versus t and I versus t on the same graph, and ex- plain how it can be seen from these two plots that the current leads the charge by 90°. (b) The ex- pressions for the charge and for the current are given by Equations 29-38 and 29-39, respectively. Use trigonometry and algebra to show that the current leads the charge by 90°. SSM L. +Qo |-Qo C FIGURE 29-30 Problem 33

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33 •• An inductor and a capacitor are connected, as shown L. in Figure 29-30. Initially, the switch is open, and the left plate of the capacitor has charge Qo. The switch is then closed. (a) Plot both Q versus t and I versus +Qo 1-Qo C t on the same graph, and ex- plain how it can be seen from these two plots that the current leads the charge by 90°. (b) The ex- pressions for the charge and for the current are given by Equations 29-38 and 29-39, respectively. Use trigonometry and algebra to show that the current leads the charge by 90°. SSM FIGURE 29-30 Problem 33
Transcribed Image Text:33 •• An inductor and a capacitor are connected, as shown L. in Figure 29-30. Initially, the switch is open, and the left plate of the capacitor has charge Qo. The switch is then closed. (a) Plot both Q versus t and I versus +Qo 1-Qo C t on the same graph, and ex- plain how it can be seen from these two plots that the current leads the charge by 90°. (b) The ex- pressions for the charge and for the current are given by Equations 29-38 and 29-39, respectively. Use trigonometry and algebra to show that the current leads the charge by 90°. SSM FIGURE 29-30 Problem 33
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