Chapter 15 Problems
14. Add the following sets of complex numbers : ( a ) 9 + 3 and 5 + j8 ( b ) 3.5-4 and 2.2 + j6 ( c ) -18 +23 and 30 - j15 ( e ) 3.8275 ° and 1 + jl.8 ( d ) 12 / 45 ° and 20 / 32 ° ( f ) 50 - j39 and 60-30 ° 15. Perform the following subtractions : ( a ) ( 2.5 + jl.2 ) - ( 1.4 + j0.5 ) ( c ) ( -45 - j23 ) - ( 36 + j12 ) ( b ) ( 8j4 ) 3225 ° ( d ) 48 / 135 ° - 332-60 ° 16. Multiply the following numbers : ( a ) 4.5 / 48 ° and 3.2 / 90 ° ( b ) 120-220 ° and 95 / 200 ° ( c ) -32150 ° and 4 - j3 ( d ) 67 + j84 and 102 / 40 ° ( e ) 15 - j10 and -25-130 ( f ) 0.8 +0.5 and 1.2 - 1.5 17. Perform the following divisions : 8250 ° 632-91⁰ 28 / 30 ° 40 - j30 ( a ) ( b ) ( c ) ( d ) 2.5239⁰ 9 / 10 ° 14 - j12 16 + j8 18. Perform the following operations : 2.5265 ° 1.82-23 ° ( 100 / 15 ° ) ( 85 j150 ) ( a ) ( b ) 1.2 / 37⁰ 25 + j45 ( 250 / 90 ° + 175275 ° ) ( 50 j100 ) ( 1.5 ) ² ( 3.8 ) ( c ) ( d ) + ( 125 +90 ) ( 35250 ° ) 1.1
14. Add the following sets of complex numbers : ( a ) 9 + j3 and 5 + j8 ( b ) 3.5j4 and 2.2 + j6 ( c ) 18 + j23 and 30-15 ( d ) 12 / 45 ° and 20 / 32 ° ( e ) 3.8275 ° and 1 + jl.8 ( f ) 50 - j39 and 60 % -30 ° 15. Perform the following subtractions : ( a ) ( 2.5 + j1.2 ) - ( 1.4 +0.5 ) ( c ) ( -45 j23 ) - ( 36 + j12 ) ( b ) ( 8j4 ) 3225 ° ( d ) 482135 ° - 334-60 ° 16. Multiply the following numbers : ( a ) 4.5248 ° and 3.2 / 90 ° ( b ) 1202-220 ° and 95 / 200 ° ( c ) -32150 ° and 4 - j3 ( d ) 67 + j84 and 102 / 40 ° ( e ) 15 j10 and -25 - j30 ( f ) 0.8 + j0.5 and 1.2 - 1.5 17. Perform the following divisions : 8 / 50 ° 63-91 ° 28 / 30 ° 40 - j30 ( a ) ( b ) ( c ) ( d ) 2.5239 ° 9210 ° 14 - j12 16 + j8 18. Perform the following operations : 2.5265 ° 1.82-23 ° ( 100 / 15 ° ) ( 85 j150 ) ( a ) ( b ) 1.2437 ° 25 + j45 ( 250290 ° + 175275 ° ) ( 50-100 ) ( 1.5 ) ² ( 3.8 ) 8 ( c ) ( d ) + ( 125 +90 ) ( 35250 ° ) 1.1