Phasors Homework: Homework: Calculate these complex numbers and express your results in rectangular form: 15/45 3 - j4 14.6 (a) +j2 8/- 20° (b) 10 (2+ j)(3 – j4) -5+ j12 (c) 10+ (8/50)(5 – j12) | (a)=-0.4243 + j4.97, (b)=0.4151 – j0.6281, (c)=109.25 - j31.07 Answer: Homework: Evaluate the following complex numbers and express your results in rectangular form: 1- j2 3/6 14.7 8/10 +6/– 20 3+ j4 (b) 4/– 10 + (c) (a) 2+ 5- j8 9/80 – 4/50- Answer: (a)= 1.809 + j0.4944, (b)= 4.201 –j1.392, (c)= -0.5043 – j2.243 Homework: Given the complex numbers z, = -3+ j4 and Z2 = 12+ j5, find: 14.8 Zi + 22 (c) Z1 - 22 (a) z1z2 (b) (a)= -56 + j33, (b)= -0.3314 + j0.1953, (c)= -0.6372 – j0.5575 Answer:

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Phasors Homework:
Homework: Calculate these complex numbers and express your results in rectangular form:
15/45
3 - j4
14.6
(a)
+j2
8/- 20°
(b)
10
(2+ j)(3 – j4) -5+ j12
(c) 10+ (8/50)(5 – j12)
| (a)=-0.4243 + j4.97, (b)=0.4151 – j0.6281, (c)=109.25 - j31.07
Answer:
Homework: Evaluate the following complex numbers and express your results in rectangular form:
1- j2
3/6
14.7
8/10 +6/– 20
3+ j4
(b) 4/– 10 +
(c)
(a) 2+
5- j8
9/80 – 4/50-
Answer:
(a)= 1.809 + j0.4944, (b)= 4.201 –j1.392, (c)= -0.5043 – j2.243
Homework: Given the complex numbers z, = -3+ j4 and
Z2 = 12+ j5, find:
14.8
Z1
(b)
Zi + 22
(c)
Z1 - 22
(a) z1z2
(a)= -56 + j33, (b)= -0.3314 + j0.1953, (c)= -0.6372 – j0.5575
Answer:
Homework: Evaluate these determinants:
|20/- 30 -4/- 10"|
1-j -i
(c)
14.9
|10+ j6 2- j3|
(b)
(a)
-1+j|
16/0
3/45
J 1+j
-5
(a)= -6 – j11, (b)= 120.99 – j4.415, (c)= -1
Answer:
Homework: Transform the following sinusoids to phasors:
(b) 5 sin(201 – 10°)
(a) –10 cos(4t + 75°)
(c) 4 cos 21 + 3 sin 2t
14.10
(a)= 102-105°, (b)= 52-100°, (c)= 52-36.87°
Answer:
Homework: Express the sum of the following sinusoidal signals in the form of A cos(wt + 0) with A>0
and 0 <0<360
(a) 8 cos(5t – 30°) + 6 cos 5t
(b) 20 cos(1207 t + 45°) – 30 sin(120rt + 20°)
(c) 4 sin 8t + 3 sin(8t – 10°)
14.11
Answer:
(a)= 13.533 cos(5t + 342.81°), (b)- 42.51 cos(120nt + 84.76°), (c)= 6.974 cos(8t + 265.72)
Transcribed Image Text:Phasors Homework: Homework: Calculate these complex numbers and express your results in rectangular form: 15/45 3 - j4 14.6 (a) +j2 8/- 20° (b) 10 (2+ j)(3 – j4) -5+ j12 (c) 10+ (8/50)(5 – j12) | (a)=-0.4243 + j4.97, (b)=0.4151 – j0.6281, (c)=109.25 - j31.07 Answer: Homework: Evaluate the following complex numbers and express your results in rectangular form: 1- j2 3/6 14.7 8/10 +6/– 20 3+ j4 (b) 4/– 10 + (c) (a) 2+ 5- j8 9/80 – 4/50- Answer: (a)= 1.809 + j0.4944, (b)= 4.201 –j1.392, (c)= -0.5043 – j2.243 Homework: Given the complex numbers z, = -3+ j4 and Z2 = 12+ j5, find: 14.8 Z1 (b) Zi + 22 (c) Z1 - 22 (a) z1z2 (a)= -56 + j33, (b)= -0.3314 + j0.1953, (c)= -0.6372 – j0.5575 Answer: Homework: Evaluate these determinants: |20/- 30 -4/- 10"| 1-j -i (c) 14.9 |10+ j6 2- j3| (b) (a) -1+j| 16/0 3/45 J 1+j -5 (a)= -6 – j11, (b)= 120.99 – j4.415, (c)= -1 Answer: Homework: Transform the following sinusoids to phasors: (b) 5 sin(201 – 10°) (a) –10 cos(4t + 75°) (c) 4 cos 21 + 3 sin 2t 14.10 (a)= 102-105°, (b)= 52-100°, (c)= 52-36.87° Answer: Homework: Express the sum of the following sinusoidal signals in the form of A cos(wt + 0) with A>0 and 0 <0<360 (a) 8 cos(5t – 30°) + 6 cos 5t (b) 20 cos(1207 t + 45°) – 30 sin(120rt + 20°) (c) 4 sin 8t + 3 sin(8t – 10°) 14.11 Answer: (a)= 13.533 cos(5t + 342.81°), (b)- 42.51 cos(120nt + 84.76°), (c)= 6.974 cos(8t + 265.72)
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