Answered: 5 Ω W 10 Ω w Vf 10 Ω W 592 ww irl ir2 i…

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Electrical Engineering

5 Ω W 10 Ω w Vf 10 Ω W 592 ww irl ir2 i i√3 100 Ω 0.05F 0.05F + V₁(t) www. + V2(t) 0.25 H 0.25 H HI

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 2.2P: Convert the following instantaneous currents to phasors, using cos(t) as the reference. Give your...

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Question

The source voltages are v1(t) = 3sin(10t) and v2(t) = 7cos(10t). The currents through the two 5 ohm resistors (ir1 and ir3) and the 100 ohm resistor (ir2) need to be found. There is no initial energy stored in the circuit and the sources turns on at time t = 0.

(a) Find the state equation for this circuit.
(b) Find the output equation.
(c) Using the state and output equations, use MATLAB to plot the three indicated resistor currents over a reasonable amount of time.

5 Ω
W
10 Ω
w
Vf
10 Ω
W
592
ww
irl
ir2
i
i√3
100 Ω
0.05F
0.05F
+
V₁(t)
www.
+
V2(t)
0.25 H
0.25 H
HI

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