Question

(10 pts total) Complex Arithmetic, Show your work, check with a calculator. For 21 = 4 + 6 and zz = 11 -, 11, find a) (221 +5z2) b) c) 2,21 d) 21:22 21

Answer 1

Solution given Z, = 4 +66 , Z = 11-111 (azit JU 52) [224 +56) + 5111- 11 - 311)] = [o+ 112 + 55-jss]? = [(a + ss) - $(55-12)]² = [ 63-j | 43)]² [a b] = (63)²+ G 433²- 8x63xj43 =a76-gab = 3969 +3*43)-35418 3969-1849 - j 5418 = 2120-j5418 Answer (22, +522)

b 822 zi 8(11-111 4+j6 8x11(1-1) 21 2+j3) Х 44(1-1), (2-13) (4-13) (a-bath) 44(1-3)(2-13) 22 a-b 44(2-13 - 12 + j'3) 4+9 44 ( 2-15-3) 44-1-15) 21 -49 13 jago 13 -44 (1+15) 822 2 .-3.3846 - $16.923 Anwar

2.24 = (44)6)(4+j6) (if q= not know hatib atáb - atb = a-jb then = (4+16) (4-j6) = _ j ²6² [(a+bca-b) 공 - 16 +36 j2=-1 52 ☆ 2 2 = (4+16) C11-11) = (4-j6) (11 +111) = 44+ | 44 - 166-3266 = 44 - /22 +66 = 11o-j22 Anwery = 11(16-12) üz