Question Question 1 (25 points) A given circuit has vg = 3 + 0.22 sin(wt) where w = 100 rad/s. Determine v, at t = 2ms. Enter your answer in mV rounded to one decimal place. (Please be careful with units. Note that w has been specified in rad/s and t has been specified in milliseconds. The answer is to be entered in millivolts.) Your Answer: Answer Question 2 (25 points) For the same case as in the previous question, determine VG at t = 2ms. Enter your answer in V rounded to one decimal place. (Please be careful with units. Note that w has been specified in rad/s and t has been specified in milliseconds. The answer for this question is to be entered in volts.)

please answer as many ... thank you > Question 1 100 pts Design a controller for the LED labeled "E" in a 7 segment LED display to display digits 0-9 using the patterns shown in the figure. The LED will light up when Z equals 1. Z is a function of 4 variables, Z = fA.B.CD), where variable D is the least significant bit. 8 0 :23456789 LEHT HI HII 1 and 2. Find the Sum of Minterms and the Sum of Don't Cares. Z-m 0.2.79 D+Ed 10,11,12,13,14,15 3. Find the simplest Boolean SOP expression (SOP - Sum of Products) Format Note: Place this answer in order by the number of inputs to the AND gates. For example, to write WXY+Z + XZ+ZY: then answer Z+XY+XZ+WXY or Z+XZ+XY+WXY are in correct format order and will be marked correct and XY+WXY+Z+XZ will be marked wrong by the computer. So order the sum with the terms with the smallest number of variables first, the terms with highest number of variables last 2 = CD+B'D For the 74HC154 4 to 8 decoder Chip below fill in the most appropriate responses to make your controller X/Y 2P For the 74HC154 4 to 8 decoder Chip below fill in the most appropriate responses to make your controller X/Y 13 13 14 15 EN 14 Format Note: Your available inputs are A,B,C,D,GND and VCC 4. List the input connections to the X pins 1.2.4 and 8 (In that order) 5. List the connections to the EN pins 1 and 2 (In that order) 6. List which Y pins need to be wired to a logic gate 7. Which type of logic gate is needed to combine the outputs from Y to make Z Using two 3 to 8 decoders as shown below, fill in the most appropriate responses to make your controller. Use Chip 13 to 8 decoder for minterms o through 7, and Chip 2 for minterms 8 through 15. Chip 1 Chip 2 For the 3 to 8 decoder circuit, show the connections: Chip 1 (3 to 8 decoder): 8. List the Input connections to pins AB and C for Chip 1 (In that order) 9. List the connections to the enable pins G1,G2 and G3 for Chip 1 In that order) 10. List which output pins (0,1,2,3,4,5,6,7) need to be wired to a logic gate from Chip 1 Chip 2 (3 to 8 decoder): 11. List the input connections to the pins A, B and C for Chip 2 in that order) 12. List the connections to the enable pins G1,G2 and G3 for Chip 2 (In that order) 13. List which output pins (0,1,2,3,4,5,6,7) need to be wired to a logic gate from Chip 2 14. Which type of logic gate is needed to combine the outputs from both chips to make Z?

Shown in the figure below is a capacitor. Each plate has an area of A = 1.4e-02 m2 and has a gap d = 6.6e-04 meters. Att filled with a dielectric of constant K = 3.87. The thickness of the dielectric layer is a = 2.64e-04 meters leaving a free space Empty Capacitor Partly Filled Capacitor Area = A dielectric constant K d Write the FORMULA for the capacitance of the empty capacitor. 1 Determine the capacitance of the empty capacitor Cempty = Farads When you partly fill the capacitor, which of these best describes the new configuration: Parallel Series Both series and parallel Neither series nor parallel e-02 m2 and has a gap d = 6.62-04 meters. At the first moment, the capacitor is empty. At the second moment is it partly ayer is a = 2.64e-04 meters leaving a free space of b = 3.96e-04 meters. dielectric constant Farads - configuration: Determine the formula for the partly filled capacitor Chilled = Determine the value of the partly filled capacitor Chilled = Farads NOTE: Decide whether the partly filled capacitor acts like parallel or series by following the charge: . If the charge splits between the caps, parallel. • If the charge is the same on both caps, series, • The formula for the filled capacitor should use only the distances a and b (NOT d).

< 1 of 1 Figure 120 грm 2.0 m The 300 g bar is rotating as shown in (Figure 1). Part A What is the magnitude of the angular momentum of the bar? ? kg m² /s Submit Request Answer Part B What is the direction of the angular momentum of the bar? O into the page O out of the page

v MI 7. Let (r) = for r e A := (0,0) (i) Find the pointwise limit f off (ii) Show that each f, is bounded on A but the pointwise limit f of the sequence is not bounded on A. (ii) Decide whether or not the convergence in () is uniform, prove your claim. (iv) use the e-strip to prove your claim in (iii).

A solid disk, a hoop, and a solid sphere are released at the same time at the top of an inclined ramp. Each has mass M and radius R. They all roll without slipping. In what order (fastest to slowest) do they reach the bottom of the ramp, if the moments of inertia of the disk, hoop, and sphere are ½ MR2, MR2, and 2/5 MR2? A) disk, hoop, sphere B) disk, sphere, hoop C) sphere, hoop, disk D) hoop, sphere, disk E) sphere, disk, hoop

R W R3 ww 10 12 ww R2 1 Write down the Kirchhoff Junction equation and solve it for I; in terms of 12 and 13. Write the result here: Ij = write down the Kirchhoff Loop equation for a loop that starts at the lower left corner and follows the perimeter of the circuit diagram clockwise. 0 write down the Kirchhoff Loop equation for a loop that starts at the lower left corner and touches the components 10V, Ry, 4V, and Ry O The resistors in the circuit have the following values . - R2 • Ry=60 Ry=130 Solve for all the following (some answers may be negative); 11 - Amperes 12 Amperes 13 Amperes NOTE: Forthin