All Problems Electric Oscillations
Problem 4.98
In an oscillating circuit shown in Fig. 4.27 the coil inductance is equal to \(L=2.5 \mathrm{mH}\) and the capacitor have capacitances \(C_{1}=\) \(=2.0 \mu \mathrm{F}\) and \(C_{2}=3.0 \mu \mathrm{F} .\) The capacitors were charged to a voltage \(V=180 \mathrm{~V},\) and then the switch \(S w\) was closed. Find: (a) the natural oscillation frequency; (b) the peak value of the current flowing through the coil.
4.98. (a) \(T=2 \pi \sqrt{L\left(C_{1}+C_{2}\right)}=0.7 \mathrm{~ms}\) (b) \(I_{m}=V \sqrt{\left(C_{1}+C_{2}\right) / L}=8 \mathrm{~A}\)