1. The circuit in Fig. 1 shows a cascade connection of two integrators. Determine the output voltages voi and vo at t= 2 ms assume the integrators are reset to 0 V at t=0. Use the time domain method that you learnt in the course to solve the problem. (5 pts) 5 uF 10 uF 20 ks2 25k92 VOL 10 V Fig. 1 for Question 1
Find v(t) for t> 0 in the given circuit. Assume / = 4u(t) A. t=0 1H mo of + 4.5 A ( 102 4F 522 DI - The value of v(t) = [A + (B)ect + (D)e-4.949tju(t) V where A = B = CE and D =
For the circuit of Fig. 5, find v (t) for t > 0. 612 V1=0 + 카 412 v 6 uF 9V Fig. 5 . For the circuit of Fig. 6, if v (0 - ) = 0 V and Ic (0 - ) = 5 A find v (t) for t > 0. V fir ich 0.5.12 0.5 H 0.5F 7 Fig. 6
In the circuit of Fig. 8.102, find i(t) for t > 0. 42 t 0 69 H 20 V -2
Find i(t) for t>0 for the circuit in Fig. 16.37 Assume i(t)- [6(t) + 35(t)]mA 16.14 1Ω i(t) ist) ( 0.2 H 2Ω
2. Assume steady-state conditions exist at 0. (a) Find the differential equation for it(t) for t> 0 for the circuit below (b) Find the form of the solution (c) Find the initial conditions (d) Evaluate the coefficients for the solution. 4A 7 A 3. Find the voltage across the capacitor as a function of time. 30Ω 4u(t) A + 5A 3 H 27
1H 8r - - 3. (30%) Answer the following questions about the circuit. a. Find v(0*) and i(0*). b. Find in(t) (t > 0). c. Find it) (t > 0). d. Find i(t) (t > 0). V2 = 200 coszt ut VI Tbi
4. For the circuit in Fig. 4, find the voltage volt) for t > 0. Determine the time necessary for the capacitor voltage to decay to 60% of its value at t=0. t=0 6 k2 W 40 V (+ - 4 kN 20 uF = " Fig. 4. Circuit for Problem 4.
Find i(t) for t> 0 in the op amp circuit of Fig. P4. (u(t) is unit step function. It is 1 for t> 0 and 0 for t<0.) 1/6F It 3 Ω 212 + 2 u(t) V 1/6 F 10 Ω Figure P4
1. Find v(t) fort> 0 in the circuit in below: t=0 222 w 622 w + 10V 2 F +1 50 V Assume the switch has been open for a long time and is closed at t=0.