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A 18.0mF capacitor is placed across a 22.5-V battery for several seconds and is then connected across a 12.0-mH inductor that has no appreciable resistance. Sketch graphs of the charge on the capacitor plates and the current through the inductor as functions of time.

Short Answer

Expert verified

The charge on a capacitor in LC circuit varies as function ofcosine.

Here, The charge on capacitor is given by Q=Q0cosωt

The current passing through the inductor varies as function of sine.

Here, The current passing through the inductor is given by l=-l0sinωt

Step by step solution

01

Graphical behaviour of charge of on capacitor and current passing through the inductor.

The charge on a capacitor in LC circuit varies as function ofcosine.

Here, The charge on capacitor is given by Q=Q0cosωt

The current passing through the inductor varies as function of sine.

Here, The current passing through the inductor is given by l=-l0sinωt

02

Step 2: The graphs of of the charge on the capacitor plates

The graph of current through the inductor as functions of time.

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