2. Use established properties of moduli to show that when |23| + |24|| Re(21 + z2)...
3. (a) Let z1,z2, z3 € C, prove the following identity: (21 - 22)(22 – 23)(23 – £1) = (22 - 23)+23(23 – £1)+23(21 - 22). (b) In AABC, P is a point on the plane II containing A, B and C. Prove that aPA +bPB2 +cPC2 > abc.
Ifz-I+),22-1-j, and 3=-2, calculate the magnitude and phase (in radians) of (a) zi (b) z2 (c) z3 (d) z1 +z (e) z z3 (f) z1z2 (g) t22 (h) 을 2. 21 23 21-23 Z1
Alength-13Type1real-coefficientFIRfilterhasthefollowingzeros: z1 = 0.8,z2 = −j,z3 = 2−j2, z4 = −0.5 + j0.3. (a) Determine the locations of the remaining zeros. (b) What is the transfer function H(z) of the filter? (Hint: Use matlab function poly to determine the transfer function.)
Suppose 21, 22, 23, 24 ~ N(0, 1) where 21, 22, 23, 24 are all independent. Let X1 = zi + z2 42 = 22 + 23 23 = 23 + 24 Notice that Cov(21,13) = 0 so that Xi and X3 are independent. Which of the following is true? Var (21 | 22) = Var (21 | 22, 23) Var (x1 | x2) > Var (21 | 22, 23) Var (21 | x2) < Var (21 | 22, 23)
Problem 10.10-6 2 Determine the gain Vo/Vs for this circuit when Z1 = 8 +JS k. Z2 = 8 +ja k. Z3 = 9 + j2 k. and Z4 = 6 +j4 k Q.
Problem No. 9.3 / 10 pts. 22 23 ImLoo Is = 70L 0° (mA) Z1 = 150.12 ; Z2= – 700 i 12 ; Z3 = 250 i 1 ; 24 = 500.1 Use source transformation to find the Thévenin equivalent circuit with respect to terminals a and b. Show all steps of your solution. Displaying only the final answer is not enough to get credit.
CIRCUIT ANALYSIS!
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For the circuit of Question 1, follow the steps below to use superposition to find Vo. 20 20 w zi 2/A 21 2/6A ES 2+-20 240 20 v 2+ -20 234 20:40 2120 v. 134 134 b Finding Vo' due to the current source is: 1. From circuit (a),...
Given: Z1 = 4-j1.5 ohms; Z2 = 2+j4 ohms; Z3 = 2 ohms; 24 = 3 + j5 ohms. If the four impedances are connected in parallel, find the magnitude of equivalent impedance in ohms. (No need to include the phase angle, ONLY THE MAGNITUDE)
3. (a) Find the h-parameters for the 2-port network shown in Figure 3. (b) Obtain the impedance Z111(s) between the terminal 1-1' when Z1 Z2 = Z3 = 1 and Z4 = 1 and a resistor R= 1N is connected between the terminals 2-2. I I, 1 2 + + V, ZA v 12 "I 2 23 Figure 3.
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2. Let z1=4+4i, z2=-5-5i. Find the trig form of z1 and 22. Then, find 21/22 and 2122