Analog integration and differentiation: a) Predict the time dependence of Vout for the analog integrator op-amp with a resistor value of 20k and capacitor value of 100 µF for each of the input signals at Vin (square, triangle, and sine) shown below. Graph each function and give an explicit formula (for one cycle), including numbers (based on measured input signal voltages and values of R and C). You may have built (or may be building) these (or similar) circuits in the lab. How do you expect your measured Vout signals will to compare to your predictions above (including voltage levels)? (Can you explain some possible discrepancies and the reasons for them)? 0 -5 50 10 и 5 Input Voltage (V) 0 5 4 i 2 0 2 5 6 7 8 00 Time (s) 6 10 b) Repeat the above for the analog differentiator. Is there one input signal that is more problematic than the others? If so, which one, and why? What do you think will happen in real life?

For the logic diagram, write the Boolean expression. Show output of each gate in the Qiagram. Simplify the Boolean expression and draw simplified logic diagram. Y X - A= Z.

For the circuit shown a) Determine the mode of operation that the transistor is in. Assume that V1>0. Show work to justify your reasoning. b) Sketch la vs V1 (this plot may be qualitative) la

Reclung.c A on ri gle Figure 1 2. The circuit shown above is constructed with two 6.0 V batteries and three resistors with the values shown. The currents 1₁, 12, and 13 in each branch of the circuit are indicated. 2 GEOMETRY AND TRIGONOMETRY Circle A = ²² C = 2πr Cy.inder bh - re Rectangular Solid Vlh Sphere 1. Using Kirchhoff's rules, write, but DO NOT SOLVE, equations that can be used to solve for the current in each resistor. ii. Calculate the current in the 200 9 resistor. iii. Calculate the power dissipated by the 200 2 resistor. V = ar²l S.. Figure 2 The two 6.0 V batteries are replaced with a battery with voltage & and a resistor of resistance 50 2, as shown above. The voltmeter V shows that the voltage across the 200 £2 resistor is 4.4 V. (b) Calculate the current through the 50 2 resistor. (c) Calculate the voltage & of the battery. V=² S = 4; 7² Rig Triangle 2 +6² = c² sin = COS== tan 8 = OJA b C 2m. a b 6.0 V 7,4 & A - area C=circumference h-hei £= le L W = IUL r=fuu.0…