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6.3) The zero-state responses V1,V2and V3 of the three linear time invariant one-ports n1, n2 and n3 for the same input current I are shown in Fig. 3. Knowing that these circuits can be described by the first order differential equations, propose a circuit topology and appropriate element values. 6.5) Consider the linear time-invariant series RL circuit driven by a voltage source as shown in Fig. 6. a. Calculate the zero-state response i to a unit step of voltage b. Calculate and sketch the zero-state response hA(t) to an input voltage PA for values of ^= 0.5, 0.2, and 0.05 sec. c. Determine the unit impulse response h. d. With regard to the solution of (c), explain the discontinuity of the current through the inductor at t=0. 6.20) The circuit shown in the figure contains a linear capacitor that is charged at t=0 with V(0)=3V. The nonlinear resistor has a Vicharacteristic as shown in Fig.26. Determine the waveform V(t) and the time it takes for the voltage to reach 1Volts. 2 1¡(amp) V1 7 Fig.3 1 D 1 2 Va(Volts) V2(Volts) 1 2 2 6 2 a 1 -4 1 2 3 t 2 3 t R=50 L=5H Fig.6 + 'R 2 VR V IF D 1 2 3 Vinw Fig.26

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