Consider the electric circuit shown in Figure 7.6.6.
Chapter 7, Problem 25(choose chapter or problem)
Consider the electric circuit shown in Figure 7.6.6. Suppose that R1 = R2 = 4 ,C = 12 F, and L = 8 H.(a) Show that this circuit is described by the system of differential equationsddt IV=12 182 12 IV, (i)where I is the current through the inductor and V is the voltage drop across the capacitor.Hint: See of Section 7.1.(b) Find the general solution of Eqs. (i) in terms of real-valued functions.(c) Find I(t) and V(t) if I(0) = 2 A and V(0) = 3 V.(d) Determine the limiting values of I(t) and V(t) as t . Do these limiting valuesdepend on the initial conditions?
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