Referring to Fig. 12.87, we have, 1₁ Z₁ + (1₁ +1₂)Z = E₁ 1₂ *Z₁ + (1₁ +1₂)Z = E₂ and Subtracting eq. (ii) from eq. (i), we have, 1₁-1₂ :. 1₁-1₂ Adding eqs. (i) and (), we have, = 1₁ + 1₂ E₁-E₂ Z₁ -1242 + j1003 j5 (200+j250) A = = (5686+j1003) - (6928+ j 0) j5 = (200+j250) A E₁ + E₂ 2 Z+Z₁ 12614+j103 (5686+j1003) + (6928+ j0) 2 (50+ j40) + j5 12654 24.5⁰ 85 131-2240-4⁰ = 96-42-35-9° A = (78-1-i56-6) A ...(1) ... (iii)

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter2: Fundamentals
Section: Chapter Questions
Problem 2.17MCQ: Consider the load convention that is used for the RLC elements shown in Figure 2.2 of the text. A....
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..
and
Now
Z₁ = x₁ + 38 = 1·2+38 = 552
2₂ = x₂+4·1=09+4·1=552}
Z₁ = (5) 2; Z₂ = (5) 2; Z= (50+ j40) 2
210⁰ = 5774 210° volts =
E₂
Referring to Fig. 12.87, we have,
1₁ Z₁ + (1₁+1₂)Z = E₁
and
1₂ *Z₁ + (1₁ + 1₂) Z
E₂
Subtracting eq. (ii) from eq. (i), we have,
1₁ - 1₂
..
1₁-1₂ =
Adding eqs. (i) and (), we have,
=
1₁ + 1₂
-
10,000
√√3
12000
=
E₁-E₂
Z₁
-1242 + j1003
j5
(200+j250) A
20⁰ = (6928+j0) volts
100
1₁ + 1₂
On solvin eqs. (iii) and (iv), we have,
=
E₁ + E₂
2 Z+Z₁
12614+j103
(5686+j1003) - (6928+ j0)
j5
= (200+j250) A
(5686+j1003) + (6928+ j0)
2 (50+ j40) + j5
12654 24.5°
785
131-2240-4°
96-4 2-35-9° A = (78-1-j56-6) A
(78-1-j56-6) A
(5686+j1003) volts
169 A ; I, = 164 A
597
...(1)
.... (iii)
...(iv)
Hello expert, I want you to explain how
he got the law inside the circle. Can you
explain step by step and a clear line, please?
Transcribed Image Text:.. and Now Z₁ = x₁ + 38 = 1·2+38 = 552 2₂ = x₂+4·1=09+4·1=552} Z₁ = (5) 2; Z₂ = (5) 2; Z= (50+ j40) 2 210⁰ = 5774 210° volts = E₂ Referring to Fig. 12.87, we have, 1₁ Z₁ + (1₁+1₂)Z = E₁ and 1₂ *Z₁ + (1₁ + 1₂) Z E₂ Subtracting eq. (ii) from eq. (i), we have, 1₁ - 1₂ .. 1₁-1₂ = Adding eqs. (i) and (), we have, = 1₁ + 1₂ - 10,000 √√3 12000 = E₁-E₂ Z₁ -1242 + j1003 j5 (200+j250) A 20⁰ = (6928+j0) volts 100 1₁ + 1₂ On solvin eqs. (iii) and (iv), we have, = E₁ + E₂ 2 Z+Z₁ 12614+j103 (5686+j1003) - (6928+ j0) j5 = (200+j250) A (5686+j1003) + (6928+ j0) 2 (50+ j40) + j5 12654 24.5° 785 131-2240-4° 96-4 2-35-9° A = (78-1-j56-6) A (78-1-j56-6) A (5686+j1003) volts 169 A ; I, = 164 A 597 ...(1) .... (iii) ...(iv) Hello expert, I want you to explain how he got the law inside the circle. Can you explain step by step and a clear line, please?
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