I need to solve PART C please... Part A: Part A: Calculate the oscillation frequ

Question

I need to solve PART C please...

Part A:

Part A: Calculate the oscillation frequency of the circuit?

f = 2.85 kHz

Part B:

Calculate the energy stored in the capacitor at time t=0 ms (the moment of connection with the inductor)?

U = 0.118 J

Part C:

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

??????

Part A:

Part A: Calculate the oscillation frequency of the circuit?

f = 2.85 kHz

Part B:

Calculate the energy stored in the capacitor at time t=0 ms (the moment of connection with the inductor)?

U = 0.118 J

Part C:

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

??????

Explanation / Answer

(c) Calculate the energy stored in the inductor at t = 1.30 ms.
When the voltage across the capacitor = 0 and the voltage across the inductor = 0, the current is a maximum and we know that

0.118 J = ½*L*I² => I = sqrt[(2*0.118)/(0.26*10^-3)] = 30.12A
I(t) = 30.12*sint = 30.12*sin(2f) = 30.12sin(2*3.14*2850) = -10.23 A
I(0.0013) = -10.23 A
½*L*I² = 1/2*0.260*10^-3*10.23^2 = 0.0136 J

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