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SEL0329 – Conversão Eletromecânica de Energia
Lista 1 - Respostas

1–

a) ܴ௖ = 1,061 ∙ 10ହ ‫ܾܹ/ܣ‬

b) ɸ = 1,1 ∙ 10ିସ ܹܾ

ܴ௚ = 1,017 ∙ 10଺ ‫ܾܹ/ܣ‬

c) ߣ = 9,2 ∙ 10ିଷ ܹܾ
d) ‫ܪ݉ 431,6 = ܮ‬

2–

a) ܰ = 110 ܸ‫ݏܽݐ݈݋‬
b) I = 16,5 A

3–
‫ܤ‬௚ =

4–

݃ = 0,353 ݉݉

5–

a) ݈஼ = 23 ܿ݉

ܰ‫ߤܫ‬଴
;
2݃

‫ܣ‬஼ = 1,2 ܿ݉ଶ

b) ܴ௚ = 13 ∙ 10଻ ‫ܾܹ/ܣ‬
c) ‫ܪߤ 1,82 = ܮ‬

ܴ௖ = 2,03 ∙ 10଻ ‫ܾܹ/ܣ‬

d) ‫ܣ 373 = ܫ‬

e) ߣ = 10,5 ܹܾ݉

6–

‫ܪ݉ 5,03 = ܮ‬

7–

a) ܸோெௌ = 19,2 ܸ ௥௠௦

b) ‫ܫ‬ோெௌ = 1,67 ‫ ܣ‬௥௠௦

ܹ‫ܬ݉ 05,8 = ݋ܿ݅݌‬

8–

a) ܴଷ = 4,27 ܿ݉

b) ‫ܪ݉ 17 = ܮ‬

c) ߣ = 0,452 ܹܾ

(i) ܸோெௌ = 30,13 ܸ ௥௠௦

(ii) ‫ܫ‬ோெௌ = 1,125 ‫ ܣ‬௥௠௦

(iii) ܹ‫ܬ 90,0 = ݋ܿ݅݌‬

d) ߣ = 0,452 ܹܾ

(i) ܸோெௌ = 25,1 ܸ ௥௠௦

(ii) ‫ܫ‬ோெௌ = 0,9375 ‫ ܣ‬௥௠௦
(iii) ܹ‫ܬ 360,0 = ݋ܿ݅݌‬

9–

a) ‫ܪ݉ 7,21 = ܮ‬

b) ܹ = 48,8 ‫ܬܯ‬
c)
‫ܸ 11,73 = ݒ‬

10 –

a) ‫ܣ‬௖௢௕௥௘ = ݂௪ ܾܽ

௃೎೚್ೝ೐ ஺೎೚್ೝ೐
ቁ
௚

b) ‫ߤ = ܤ‬଴ ቀ

c) ‫ܬ‬௖௢௕௥௘ = ஺

ܸ‫݈݋‬௖௢௕௥௘ = 2ܾܽ(‫ + ݓ‬ℎ + 2ܽ)

ேூ

೎೚್ೝ೐

ଶ
d) ܲௗ௜௦௦ = ܸ‫݈݋‬௖௢௕௥௘ (ߩ‫ܬ‬௖௢௕௥௘ )

e)
ܹ
௠௔௚ = ݃‫ݓ‬ℎ ቆ

‫ܤ‬ଶ
ቇ
2ߤ଴

f)
‫ߤ ܮ‬଴ ‫ݓ‬ℎ‫ܣ‬ଶ
௖௢௕௥௘
=
ܴ ߩܸ݃‫݈݋‬௖௢௕௥௘

11 –

a)

(i)
‫ܤ‬ଵ =

ߤ଴ ܰଵ ‫ܫ‬ଵ
ߤ଴ ܰଵ ‫ܫ‬ଵ ‫ܤ‬ଶ =
݃ଵ
݃ଶ

(ii)
‫ܣ‬ଵ ‫ܣ‬ଶ
ଶ
ߣଵ = ߤ଴ ܰଵ ൬ + ൰ ‫ܫ‬ଵ
݃ଵ ݃ଶ
(iii)
‫ܣ‬ଶ
ߣଶ = ߤ଴ ܰଵ ܰଶ ൬ ൰ ‫ܫ‬ଵ
݃ଶ
b)

(i)
‫ܤ‬ଵ = 0 ‫ܤ‬ଶ =

ߤ଴ ܰଶ ‫ܫ‬ଶ
݃ଶ

(ii)
‫ܣ‬ଶ
ߣଵ = ߤ଴ ܰଵ ܰଶ ൬ ൰ ‫ܫ‬ଶ
݃ଶ
(iii)
ଶ
ߣଶ = ߤ଴ ܰଶ ൬

c)

‫ܣ‬ଶ
൰‫ܫ‬
݃ଶ ଶ

(i)
‫ܤ‬ଵ =

ߤ଴ ܰଵ ‫ܫ‬ଵ
ߤ଴ ܰଵ ‫ܫ‬ଵ ߤ଴ ܰଶ ‫ܫ‬ଶ ‫ܤ‬ଶ =
+
݃ଵ
݃ଶ
݃ଶ

(ii)
ߣଵ = ܰଵ (‫ܣ‬ଵ ‫ܤ‬ଵ + ‫ܣ‬ଶ ‫ܤ‬ଶ )
(iii)
ߣଶ = ܰଶ ‫ܣ‬ଶ ‫ܤ‬ଶ
d)
‫ܣ‬ଵ ‫ܣ‬ଶ
ଶ
‫ܮ‬ଵଵ = ܰଵ ൬ + ൰
݃ଵ ݃ଶ
‫ܣ‬ଶ
ଶ
‫ܮ‬ଶଶ = ߤ଴ ܰଶ ൬ ൰
݃ଶ

‫ܣ‬ଶ
‫ܮ‬ଵଶ = ߤ଴ ܰଵ ܰଶ ൬ ൰
݃ଶ

12 –

a)
‫ܮ‬ଵଵ =
‫ܮ‬஺஺ = ‫ܮ‬஻஻ =

ଶ
ܰଵ ߤ‫ܣ‬௖
݈
ߤ
݈ଵ + ݈ଶ + ஺ൗ2 + ݃( ൗߤ଴ )

ߤ
ܰ ଶ ߤ‫ܣ‬௖ ݈஺ + ݈ଵ + ݈ଶ + ݃( ൗߤ଴ )
൥
൩
ߤ
݈஺
݈஺ + 2(݈ଵ + ݈ଶ + ݃( ൗߤ ))
଴

b)
‫ܮ‬஺஻ = ‫ܮ‬஻஺

ߤ
݈ଵ + ݈ଶ + ݃( ൗߤ଴ )
ܰ ଶ ߤ‫ܣ‬௖
=
൥
൩