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Electric Oscillations

Problem 4.109

In a circuit shown in Fig. 4.29 the battery emf is equal to \(\mathscr{E}=2.0 \mathrm{~V},\) its inter-nal resistance is \(r=9.0 \Omega\), the capacitance of the capacitor is \(C=10 \mu \mathrm{F},\) the coil inductance is \(L=100 \mathrm{mH},\) and the resistance is \(R=1.0 \Omega\). At a certain moment the switch \(S w\) was disconnected. Find the energy of oscillations in the circuit (a) immediately after the switch was disconnected; (b) \(t=0.30\) s after the switch was disconnected.

Reveal Answer
4.109.(a)W0=1/2=W0e−tR/L=0.10 mJ\begin{aligned} & 4.109 .(\mathrm{a}) W_{0}=1 / 2 \\ =& W_{0} \mathrm{e}^{-t R / L}=0.10 \mathrm{~mJ} \end{aligned}
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