I need to explain the steps. How did we get the equations (10.1.1) and (10.1.2)

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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I need to explain the steps. How did we
get the equations (10.1.1) and (10.1.2)
At node 2.
20 - V₁
10
V₁
-j2.5
By simplifying, we get
(1 + j1.5)V₁ + j2.5V₂ = 20
+
+
V₁-V₂_V₂
21, +
j4
j2
But I = V₁/-j2.5. Substituting this gives
2V₁, V₁-V₂
V₁ - V₂
j4
-j2.5 j4
V₁ - V₁ V₂
j2
11V₁ + 15V₂ = 0
(10.1.1)
farm 35
(10.1.2)
Transcribed Image Text:or I need to explain the steps. How did we get the equations (10.1.1) and (10.1.2) At node 2. 20 - V₁ 10 V₁ -j2.5 By simplifying, we get (1 + j1.5)V₁ + j2.5V₂ = 20 + + V₁-V₂_V₂ 21, + j4 j2 But I = V₁/-j2.5. Substituting this gives 2V₁, V₁-V₂ V₁ - V₂ j4 -j2.5 j4 V₁ - V₁ V₂ j2 11V₁ + 15V₂ = 0 (10.1.1) farm 35 (10.1.2)
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