Ifz-I+),22-1-j, and 3=-2, calculate the magnitude and phase (in radians) of (a) zi (b) z2 (c)...
Let Z! = 3H4, Z2-5-2, Z,--3-12, Z4--10-j6, and Z5--6-3. 1. Calculate Z1 + Z2 in rectangular form. 2. Calculate Z1 - Z2 in rectangular form. 3. Calculate Z3 + Z4 in polar form. 4. Calculate Za - Z5 in polar form. 5. Calculate Z1Z2-Z3 in rectangular form. 6. Find ZsZ7 in polar form. 7. Find Z7Zs in rectangular form. 8. Find ZsZs+Z7 in rectangular form Reduce the following to rectangular form. 10. Z1/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.
Problemi: Zi= 1+ja, Z2 = 2+ j4. Find 0 ZitZz ? in Rectangular form Problema: Z, = 2130° , Z = 3145° Find ① ZitZz I in polar form Zi-Z2 ☺ 3, Problem 3 z = what is the magnitude and phase ?
Using complex or magnitude angle math to solve for Z, V or I Let Z1 = (2 + j2) Zg = (1 + j2) Zg = (4 + j2) 11 = (4 + j2) Solve for A) Zi + Za + Zs (Series impedances) B) Zi ll Z2三? (Parallel impedances) C) Il * Z3-) (Ohms Law) D) Vı/Zs-? (Ohms Law)
Find R and angle. Z1 =8+3i, Z2 =2+3i,
Z3 =9-((2)^1/2 )i.
(vi) z = TEM (vii) 2 = 22 + 231
-/5 points Trig2 5.3.061. in radians. Let ose < 2.) Write 21 and 22 in polar form. (Express z = √3+1, 32= 1 + √3i 1 = Find the product z122 and the quotients and (Express your answers in polar form with expressed in radians.) Z1 Z2 = Need Help? Read it Watch it
Q2. A three-phase unbalanced delta-connected load containing impedances Z1, Z2 and resistor R3 is connected to a three-phase power source of 380 V, 50 Hz in positive sequence A-B-C as shown in figure Q2. It is known that line current Ic is 54 292° A. The power consumption of load R3 is 18050 W. The impedance of Zi is 20 -70° 2. By taking VAB as reference, calculate B BB/ Z2 TBC figure Q2 (a) the line voltage VAB, VBC...
| 1. Let z = 1+ 2i z = -2-2i, z = 3, 24 =i A. Complex arithmetic (20%) | a. Zi + Z2 b. Z1Zz sle Isles B. Determine the principle value of the argument and graph it (20%) a. 21 b. Z2 c. 23 d. 24
21 Vi Z2 Vo Figure 1 1. Ref: Figure 1. Let Z1 L (an inductor), Z2 - R (a resistor). Vi Calculate the magnitude and phase of the transfer function H(w) Figure 1 T 2. Repeat #1 with L = 100 mH, R 1kΩ. a) Plot the frequency response in dB* on a both on a linear scale and then a log scale from ω-1 to 100,000,000 rad/sec with points every decade (1 b) 1,000 etc). 10 100 Plot the...
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.