(a) +i 3 3 (c) -7+i23 (b) e) 4 4 + isin 6. 8. 2 cos (a) 2+ i (b) -3 +i (c) 4-3i (d) 2 - N3 (e) V3- N2 In problems #9-11. nerform the indicated onerations.
(a) +i 3 3 (c) -7+i23 (b) e) 4 4 + isin 6. 8. 2 cos (a) 2+ i (b) -3 +i (c) 4-3i (d) 2 - N3 (e) V3- N2 In problems #9-11. nerform the indicated onerations.
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KVL stands for Kirchhoff voltage law. KVL states that the total voltage drops around the loop in any closed electric circuit is equal to the sum of total voltage drop in the same closed loop.
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In problems #4-6, write the complex number in trigonometric form.
4. -1+3
(a) 2 cos
+isin-
2
(b) 2 сos-
+ isin
2
(c) 2 cos-
+ isin-
(d) 2 cos
+ isin
4
(e) 2 cos-
+ isin
4
52 5N2;
5.
5/2
2
2
3 T
+ isin-
4
5 7
+ isin
3
(a) 5 cos
(b) 5 cos
+isin
3
(c) 5 cos-
4
(d) 5 cos
+isin
(e) 5 cos
+ isin
3
4
4
3.
6. -V3 +i
57
+ isin
6.
(a) 2 cos
(b) 2 сos
+ isin
(c) 2 cos
+isin
+ isin
3
TC
+ isin
3.
(d) 2 cos
(e) 2 cos-
3
In problems #7-8, express the complex number in the form a+ bi for real a and b.
7. 3(cos 240°+isin 240°)
27
4
(a)
3.
3
(b)
2
22
(d)
2
3 5
(c) -7+ iv23
3
(e)
4
5
+ isin
6
8.
2 COS
(a) /2 + i
(b) -V3 +i
(c) 4 – 3i
(d) v2 - N3
(e) V3 – /2
In problems #9-11. perform the indicated onerations.
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In problems #4-6, write the complex number in trigonometric form.
4. -1+3
(a) 2 cos
+isin-
2
(b) 2 сos-
+ isin
2
(c) 2 cos-
+ isin-
(d) 2 cos
+ isin
4
(e) 2 cos-
+ isin
4
52 5N2;
5.
5/2
2
2
3 T
+ isin-
4
5 7
+ isin
3
(a) 5 cos
(b) 5 cos
+isin
3
(c) 5 cos-
4
(d) 5 cos
+isin
(e) 5 cos
+ isin
3
4
4
3.
6. -V3 +i
57
+ isin
6.
(a) 2 cos
(b) 2 сos
+ isin
(c) 2 cos
+isin
+ isin
3
TC
+ isin
3.
(d) 2 cos
(e) 2 cos-
3
In problems #7-8, express the complex number in the form a+ bi for real a and b.
7. 3(cos 240°+isin 240°)
27
4
(a)
3.
3
(b)
2
22
(d)
2
3 5
(c) -7+ iv23
3
(e)
4
5
+ isin
6
8.
2 COS
(a) /2 + i
(b) -V3 +i
(c) 4 – 3i
(d) v2 - N3
(e) V3 – /2
In problems #9-11. perform the indicated onerations.
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