Operaciones con números complejos

P . P . 9 . 3 ( C O R R E C C I O N )

R e s o l v e r

a ) [ ( 5 + j 2 ) ( - 1 + j 4 ) – 5 6 0 ] *

b )

3010

4j3-

4035j10

c ) [ ( 5 + j 2 ) / ( - 1 + j 4 ) – 5 6 0 ] * = = = = = R E S U E L T O E N C L A S E

( a ) ( 5 + j 2 ) ( - 1 + j 4 ) = - 5 + j 2 0 – j 2 – 8 = - 1 3 + j 1 85 6 0 = 2 . 5 + j 4 . 3 3( 5 + j 2 ) ( - 1 + j 4 ) – 5 6 0 = - 1 5 . 5 + j 1 3 . 6 7[ ( 5 + j 2 ) ( - 1 + j 4 ) – 5 6 0 ] * = - 1 5 . 5 – j 1 3 . 6 7 = 2 0 . 6 7 2 2 1 . 4 1

( b ) 3 4 0 = 2 . 2 9 8 + j 1 . 9 2 81 0 + j 5 + 3 4 0 = 1 2 . 2 9 8 + j 6 . 9 2 8 = 1 4 . 1 1 5 2 9 . 3 9 - 3 + j 4 = 5 1 2 6 . 8 7

48.97-823.287.1265

39.29115.14

4j3-

4035j10

2 . 8 2 3 - 9 7 . 4 8 = - 0 . 3 6 7 5 – j 2 . 81 0 3 0 = 8 . 6 6 + j 5

3010

4j3-

4035j10 8 . 2 9 3 + j 2 . 2

Operaciones con números complejos

P r o b l e m 9 . 9

( a ) 2 +8j5

4j3

= 2 +6425

)8j5)(4j3(

= 2 +89

3220j24j15

= 1 . 8 0 9 + j 0 . 4 9 4 4

( b ) 4 - 1 0 +

63

2j1 = 4 - 1 0 +

63

63.43-236.2

= 4 - 1 0 + 0 . 7 4 5 3 - 6 9 . 4 3 = 3 . 9 3 9 – j 0 . 6 9 4 6 + 0 . 2 6 1 9 – j 0 . 6 9 7 8 = 4 . 2 0 1 – j 1 . 3 9 2

( c )

504809

20-6108 =

064.3j571.2863.8j5628.1

052.2j638.53892.1j879.7

= 799.5j0083.1

6629.0j517.13

=

86.99886.5

81.2-533.13

= 2 . 2 9 9 - 1 0 2 . 6 7 = - 0 . 5 0 4 3 – j 2 . 2 4 3