DP 7-5 For the circuit shown in Figure DP 7-5, select a value of R so that the energy stored in the inductor is equal to the energy stored in the capacitor at steady state.

Figure DP 7-5

Energy stored in inductor and capacitor are given by

At steady state inductor is short circuit and capacitor is open circuit so we have a circuit that looks like

Current can be gotten from

And since voltage across capacitor is the voltage across resistor R we have

So equating energy in inductor and capacitor we get

rearranging

Take square root

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This page last updated on April 14, 2019