Question

A 17.0-μF capacitor is charged by a 130.0-V power supply, then disconnected from the power and connected in series with a 0.260-mH inductor.

Calculate the oscillation frequency of the circuit.

Calculate the energy stored in the capacitor at time t=0 ms

(the moment of connection with the inductor).

Calculate the energy stored in the inductor at t = 1.30 ms.

Answer 1

Solution: We can find the Oscillato frequency 1/ 20 VLC 11 211.60.260 x103) (17.0X106 2395.13 HZ 2.39 x 1003 H 2 = 2.39 kH 2 af t=oms the energy Shored is U = 1/2 C v² (0-5) x ( 17.0 X10-6) x (130) 2 こ ! 0-143 ) t Nols the energy stoned at time talioms E = 1/2 LI 2 : Cument is maximum whan the Voltage across Capaciton =o and across the inductors 0-143 z 1/2 L.2 [QxLo +43) 2 Torv Q2 (0.143) 33.174 p <0.260 x103) Io Sinwt 33-17 Sin (( 20 (2.39 X10-3))(1.380-3) 11.08 A E = 1/2 L (1 (+)2 212 (0-260 x103)x(11:03)2 0.016 J Il z Hence