3 op-amp 21 points Consider the following circuit: 50cos(2500t) i(t) ielle 30H 3.1 7 points Find i(t) and write as a signal 2002 w 3.2 7 points Find Vout (Hint there are two cases) 3.3 7 points Plot Vout w 7592 iL(t) Vout 4 op-amps in series 18 points Consider the following circuit: 8 www VA 2 www 6 KQ V_B + www 3 10V 4 www op-amp 1 3 www 10V Node A 5V 2 www op-amp 2 R_out V_R AC voltage source VA is given as VA = A*cos(@ t) and DC voltage source VB is given as VB = B. The two DC voltage source above and below the op-amp 1 provides 10V and the DC voltage source above the op-amp 2 provides 5V. Node A which is the left side of the 3K 2 is represented as Vo. 4.1 8 points Derive a expression on Vo in terms of A and B. Assume Vo| < 10V. 4.2 4 points Derive a expression on voltage across Rout which is VR in terms of Vo. Assume |VR| < 5V. 4.3 6 points Given VA = 3*cos(40*t) and VB = 9V Find minimum voltage on Vo and maximum voltage on VR. 6.1 8 points Consider a counter that uses 2 D-type flip flops. The outputs of the flip flops are P and Q. Design a counter to realize the following output. You will have access to 2 of any logical operators (AND, OR, NOT etc) that does not need to be the same. Both P and Q are initially initialized to 0 as shown on the diagram and stay and both stay at 1 indefinitely. CLK CLK P P 6.2 4 points Y B Draw the truth table for the circuit above Your answer should be in the following format Intersection is noted by a node Otherwise consider it separate lines. Node is a black dot. Meaning if the lines cross over but does not have a black dot it means they are not connected. X Y YAB 0 0 ? ? 0 1 ? ? 1 0 ? ? 1 1 ? ?