RC Circuits
Convert the following rectangular numbers to polar form
Rectangular form
Polar form
40j40
56.57
45
50j200
206.16
75.96
35j20
40.31
29.74
98+j45
107.84
24.66
65+j50
82
37.57
Complex form
Answer in rectangular form
(9+j3) + (5+j8)
14+j11
(3.5 –j4) + (2.2 +j6)
5.7+j2
(18 + j23) + (30j15)
28+j8
12
45° and 20
32°
(8.5+j8.5)+(17+j10.6)= 26.5+j19.1
3.8
75° and 1
25°
(.98+j3.7)+(.91+j.42)=1.89+j4.12
Multiply the following numbers and provide answer in polar form
Complex form
Answer in polar form
4.5
48° and 3.2
90°
16.59+j16.18
5699.7j3898.9
3
150° and 4j3
(3j1.5)*(4j3)=12+j4.5
(67+j84) and 102
40°
10742.42+j10956.28
(15j10) and (25 30)
Divide the following numbers and provide answer in polar form
Complex form
Answer in polar form
3.5
80° / 1.1
58°
3.18
22°
1.35
60°
1.2
62°
1.28
43°
(38j12) / (28 j6)
1.39
5°
Add the following sets of complex numbers and provide answer in
rectangular form
120
220° and 95
200°
(15j10)*(55)=825j10
115
240° / 85
180°
6
130° / 2j5
(66+j88) / 86
45°
∠
∠
∠
∠
∠
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16
46°
11.11j11.51
74.9+j43.25
56.63j79.98
52.81j32.49
26.84j3834
Rectangular form of capacitive
Answer in polar form.
30+j35
46.10
49.40
46+j220
224.76
78.19
75+j48
89.04
32.62
28+j36
45.61
52.13
85+j70
110.11
39.47
Answer: total capacitive reactance Xc
200Ω and 450Ω and 900Ω
1550Ω
1.2kΩ and 2.8kΩ and 5.7kΩ
9.7kΩ
4.7kΩ and .8kΩ and 1.6kΩ
7.1kΩ
.7kΩ and .68kΩ and 6.6kΩ
7.98kΩ
3.7kΩ and 4.8kΩ and 3.6kΩ
12.1kΩ
Convert the following polar numbers to rectangular form for Capacitive
Reactance
Polar form capacitive
reactance
Answer in rectangular form of capacitive
reactance
86.5
30°
98
54.7°
62
31.6°
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 Fall '10
 Theru
 Complex number, Imaginary unit, Electrical impedance, capacitive reactance

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