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A circuit is constructed with two capacitors and an inductor as shown. The values for the capacitors are: C₁= 376 μF and C₂ = 129 μF. The inductance is L = 336 mH. At time t =0, the current through the inductor has its maximum value I_L(0) = 264 mA and it has the direction shown.

1652_A circuit is constructed with two capacitors and an inductor.png

1) What is ω_o, the resonant frequency of this circuit?

2) What is Q₁(t₁), the charge on the capacitor C₁ at time t = t₁ = 20.8 ms? The sign of Q₁ is defined to be the sameas the sign of the potential difference V_ab = V_a - V_b at time t = t₁.

3) What is V_bc(t₁)= V_b - V_c, the voltage across the inductor at time t₁ = 20.8 ms? Note that this voltage is a signed number.

The voltage across the inductor at time t₁ is not zero. Think about what the current is doing at t = 0 and how it will change in time. What is the voltage across the inductor at t = 0?

4) What is Q_1,max, the magnitude of the maximum charge on capacitor C₁?

5) At time t = t₂, the magnitude of the current through the inductor has its maximum value. What are the magnitudes of Q₁, the charge on capacitor C₁, and V_L, the voltage across the inductor at this time?

Q₁ = Q_max and V_L = V_max

Q₁ = 0 and V_L = V_max

Q₁ = Q_max and V_L = 0

Q₁ = 0 and V_L = 0

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