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A 1.5 mu F capacitor is charged to 20 V....

A `1.5 mu F` capacitor is charged to 20 V. The charging battery is then disconnected , and a 15 mH coil is connected in series with the capacitor so that LC oscillations occur. Write the equation for variation of charge on capacitor and current in the inductor with time taking the instant at which inductor is connected to the capacitor as t=0.

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To solve the problem, we will derive the equations for the variation of charge on the capacitor and the current in the inductor during LC oscillations after the capacitor is charged and then connected to the inductor. ### Step 1: Calculate the Maximum Charge on the Capacitor The maximum charge \( Q \) on the capacitor can be calculated using the formula: \[ Q = C \cdot V \] where: ...
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