Chapter 4: Q34E (page 1015)

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.

Expert verified

The charge on a capacitor in LC circuit varies as function of $cosine$ .

Here, The charge on capacitor is given by $Q = Q_{0} \cos ω t$

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

Here, The current passing through the inductor is given by $l = |- l_{0} \sin ω t|$

Step by step solution

The charge on a capacitor in LC circuit varies as function of $cosine$ .

Here, The charge on capacitor is given by $Q = Q_{0} \cos ω t$

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

Here, The current passing through the inductor is given by $l = |- l_{0} \sin ω t|$

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

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