3. [8] In the figure shown, Line 1 is parallel to Line 2. Find MZADC. (Hint:...
Item 8 Review Part A The three parallel planes of charge shown in the figure (Figure 1)have surface charge densities-2 η, η, and-2 η Find the magnitude of the electric field in region1 Submit Request Answer ▼ Part B What is the direction of the electric field in region 1? Upward Downward The field is zero Figure 1 of 1 Submit Request Answer 4 Part C Review Find the magnitude of the electric field in region 2. The three parallel...
2. Use Definition to find the equation of the tangent line to the graph of the equation y- 1/2 at -2 3. Find the points on the graph of y2-/2 at which the tangent line is parallel to the line y - 3. 4. Sketch the graph of a continuous function f that satisfies all of the stated conditions. f(0) 2, f(-2)- (2)-0, f(-2) f(O)-f'(2)-0 f"(z) > o if-2<zco, f,(z) < 0 if <-2 or x > 0; 2. Use...
please solve them all 2) For the circuit shown in Figure 1. Find the following: A. How many independent loops are present in the circuit? B. How many nodes are present in the circuit? C. Write a KVL equation at every independent loop (mesh) in the circuit in terms of the indicated voltage and current variables. D. Write a KCL equation at every node in the circuit. Write those equations using the indicated voltage variables by incorporating Ohm's Law for...
(8 points) Find the points of intersection in R3 of the line L(t) = (3-1, -2+1, 3t) and the unit sphere: x2 + y2 + x2 = 1 (Hint: Use x = 3t - 1, y = -2t + 1 and 2 = 3t in the equation of the sphere, and solve for t.)
Review 1 Constants Three charges are placed in a line. As shown, 91 and qs are both positively charged while q2 is negatively charged. The distance between 42 and qs is twice the distance between q1 and 42. The magnitude of the electric force that q1 exerts on q2 is Fi on 2 10 N Figure 1) Part B Part C C Part D Figure 1 of 1> Provide Fe 41 42 43 2d Part A If ds has 8...
Three line charges of length L and charge density λ are placed parallel to each other, separated by a distance h, as shown in the figure below. Calculate the electric field E at point P, a distance d away from the center line charge. Hint: Find the electric field at the point P for the center line charge and from that, use superposition for the others. l h P d
8. (4 pts) Find the equation of the line parallel to y = -2x + 1 that passes through the point (-4,6). 9. (4 pts) Find the equation of the line that passes through the points (-2,5) and (-1,8). OS 10. Multiply and/or divide as indicated. Give your answers in fully-factored form. 6x +30 (4 pts) 18 a b. (4 pts) 20x 18y 27y5 5x c. (3 pts) x2-36 x+7 x2-49 x+6 d. (3 pts) 3b+5 10b-5 6b2+7b-5 2b-1 4
Consider the system shown in the single-line diagram of Figure 3. All reactances are shown in per unit to the same base. Assume that the voltage at both sources is 1 p.u. c- Find the fault current due to a bolted-three-phase short circuit in the middle of line 1- 3. [5 points d- Find the voltages at buses 1 and 2 under the fault conditions of part c above [5 points] 0.225 pu. 0.035 pu. 0.2p.u ? 0.15 p.u. 0.215...
8. A tennis player moves in a straight-line path as shown in Figure P2.8. Find her average velocity in the time inter- vals from (a) O to 1.0 s, (b) O to 4.0 s. (c) 1.0 s to 5.0 s, and (d) 0 to 5.0 s. -I(S) $ FIGURE P2.8 (Problems 8 and 9) 9. Find the instantaneous velocities of the tennis player of Figure P2.8 at (a) 0.50 s, (b) 2.0 s. (c) 3.0 s, and (d) 4.5 s.
Question 3(25 Marks (a) Find the transfer function of the system shown in figure 2 1F 1 Ohm 1F 1 Ohm 1 Ohm 1F 1F 1F 1 ohm e Vout Figure 2 (b) Express the transfer function in state space form (c) Use pole placement to determine the gains that will cause the system to have a settling time of 0.1 seconds and an overshoot of 10% (d) Draw an electronic circuit that designed will implement the controller you have...