For the circuit above, vc (t) = (20-1200t)e-20t mV for t 0. Do the following: wr

Question

For the circuit above, vc (t) = (20-1200t)e-20t mV for t 0. Do the following: write down the differential equation that vC(t) satisfies, keeping the L as an unknown. Write down the characteristic equation of the differential equation you wrote in step 1. Write down the discriminant of the characteristic equation in step 2. The expression for vc(t) satisfies the differential equation you wrote in Step 1. From the format of vc(t), what can you conclude about the discriminant? What value should the discriminant be? Following this analysis, the inductance, L, in Henry, should be: For the same figure in Question 1, we are now solving iL(t). First, please write down the differential equation that iL(t) satisfies. Does it have the same form as the differential equation vC(t) satisfies? Our next steps are to find the initial conditions for iL(t), namely iL(0+) and d iL(0+)/dt. We already know the expression for vC(t), so we have vC

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0.4
5
50

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