1. (a) A sinusoidal voltage with Veff = 10V is connected across Z₁ = 1 + j as shown in figure(a) below. Find i1, leff, p₁(t), P₁, Q₁, power factor pf₁, and S1. (b) Repeat part (a) replacing the load Z₁ in (a) by Z₂ = 1-j as shown in figure (b) below. (c) Repeat part (a) after connecting in parallel Z₁ and Z₂ as shown in figure (c). Let v = 10√/2cos wt.

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 2.7P: Let a 100V sinusoidal source be connected to a series combination of a 3 resistor, an 8 inductor,...
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1. (a) A sinusoidal voltage with Veff = 10V is connected across Z₁ = 1 + jas shown in
figure(a) below. Find i₁, leff, p₁(t), P₁, Q₁, power factor pf₁, and S1.
(b) Repeat part (a) replacing the load Z₁ in (a) by Z₂ = 1-j as shown in figure (b) below.
(c) Repeat part (a) after connecting in parallel Z₁ and Z₂ as shown in figure (c).
Let v = 10√2cos wt.
V= 10 V
V= 10 V
Z
10 V
wing
Emit
T
4½
44
(a)
(b)
(c)
S₁
1
P₁
3
$₂
45°
P₂
45°
P₁
S=P = P₁ + P₂
P₂
2₂
2. A certain passive network has equivalent impedance Z= 3 + j402 and an applied voltage
v(t) = 42.5 cos (1000t +30°) V. Give complete power information. (a) Apparent power, S
(b) Real Power, P (c) Reactive Power, Q (d) power factor, p.f.
Transcribed Image Text:1. (a) A sinusoidal voltage with Veff = 10V is connected across Z₁ = 1 + jas shown in figure(a) below. Find i₁, leff, p₁(t), P₁, Q₁, power factor pf₁, and S1. (b) Repeat part (a) replacing the load Z₁ in (a) by Z₂ = 1-j as shown in figure (b) below. (c) Repeat part (a) after connecting in parallel Z₁ and Z₂ as shown in figure (c). Let v = 10√2cos wt. V= 10 V V= 10 V Z 10 V wing Emit T 4½ 44 (a) (b) (c) S₁ 1 P₁ 3 $₂ 45° P₂ 45° P₁ S=P = P₁ + P₂ P₂ 2₂ 2. A certain passive network has equivalent impedance Z= 3 + j402 and an applied voltage v(t) = 42.5 cos (1000t +30°) V. Give complete power information. (a) Apparent power, S (b) Real Power, P (c) Reactive Power, Q (d) power factor, p.f.
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