LC and RLC Circuits
A circuit is constructed with a resistor, two inductors, one capacitor, one battery and a switch as shown. The value of the resistance is R1 = 158 Ω. The values for the inductances are: L1 = 397 mH and L2 = 140 mH. The capacitance is C = 139 μF and the battery voltage is V = 12 V. The positive terminal of the battery is indicated with a + sign.
The switch has been closed for a long time when at time t = 0, the switch is opened. What is UL1(0), the magnitude of the energy stored in inductor L1 just after the switch is opened?
I have been struggling with this entire problem set for an hour now and dont even know how to approach it. Any explanation at all would be helpful.
A constant current over a long time, the inductor will be close to 0v. Opening the switch the current will travel around in a circle, through the cap and inductors. The cap will slow down the current until it flips direction. And it will keep speeding up and slowing down fliping direction. Vd at L1 goes as high as 130v.
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