Half a year ago I posted this quesion about a Tesla Coil resonant circuit which got an amazing answer that helped me understand the resonant frenquency of such circuit.
Now I've returned to that problem and I want to know what happens in the following scenario. I will not post the values of the components since I just want a theoretical answer to understand better this kind of circuits, but I can say that the relation $$L_1C_1=L_2C_2$$ is fulfilled. The circuit is shown below:
C1 is the only one charged. It releases its energy and the circuit starts resonating. The voltage across
C2 has the following form:
which can be translated in the mathematical expression: $$137898 \cdot (\cos(978300t) − \cos(1081600t))$$
My questions are:
- Would the value of
Vmaxat Figure 3 be determined by the value of
vSw2(t)at the instant when switch
- Is it true that, as one of the coupled inductors is in an open-circuit, given that
Sw1is open, the initial conditions at inductor
L2are 0? In other words, is the circuit that I've drawn in Figure 3 accurate?
- Since there are no resistive elements at circuit from Figure 1, mathematically it seems correct that the equation of the voltage
vSw2(t)has only cosines, but in reality the voltage would converge to 0 due to the internal resistances of the components, right?