Note: In this problem we have chosen numbers for the part parameters to make it easier to compute an answer :-). By the way, it is also hard to arrange zero resistance, except with superconducting materials at very low temperatures.
In the circuit shown below L=20.0H and C=20.26mF.
The current source puts out an impulse of area A=2/π=0.64 Coulombs at time t=9.0s.
At t=0 the state is: vC(0)=0.0 and iL(0)=1.0.
The equation governing the evolution of the inductor current in this circuit is
d2iL(t)dt2+1LCiL(t)=ALCδ(t−9.0)
What is the natural frequency, in Hertz, of this circuit?
correct
At the initial time what is the total energy, in Joules, stored in the circuit?
incorrect
At the time just before the impulse happens t=9.0− what is the total energy, in Joules, stored in the circuit?
incorrect
At the time just before the impulse happens what is the current iL(9.0−), in Amperes, through the inductor?
correct
At the time just before the impulse happens what is the voltage vC(9.0−), in Volts, across the capacitor?
incorrect
At the time just after the impulse happens what is the current iL(9.0+), in Amperes, through the inductor?
correct
At the time just after the impulse happens what is the voltage vC(9.0+), in Volts, across the capacitor?
correct
At the time just after the impulse happens what is the total energy, in Joules, stored in the circuit?
correct