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migre Thy the sudden application of a direct current ... The variation of the voltage (t) and the current i(t) are given by Co(t) + f(t) + e(t) = 1. and v(t) = L () + =0 Figure 2: DC parallel circuit 1 where CR and are the capacitance, the resistance and the inductance param eters respectively. From the above derivatives we can dorive the second order differential equation of the circuits 70+ 10+(0) + Edit ) The transfer function relating the input to the output is given by G(s) = + Màu + to 1) Compute the camping ratio & tur natural frequency and the general form of the poles 2) For which constitiotes the system is: over-clamped, critically domiped and tinder damped? 3) Suppose that L < 2R, find the corresponding pole location nautintying the following performance characteristics 1.5 0.6, OS s 20% 4) Suppose that RC <and VLC > RC. Computer and that satisfy the above performance eluracteristics