Q. 7 Consider an RL circuit with voltage v(t) is shown in the figure below If i, and i, denote the currents in each loop, we obtain (using Kirchhoff's voltage law) a) In the right loop di, R L2 R2 v(t) iz L, + R,(i, - i,)+ R,i, = v(t) dt b) In the left loop di, L1 + R,(i, – i,) = 0 dt Suppose L, = 0.8, L, =1.0, R, =1.4, R, = 1, v(t)=100, i, (0) = 0, i,(0) = 0. Use simplest numerical technique with two sub-intervals to evaluate i,(0.2) and i,(0.2)

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
Chapter6: Power Flows
Section: Chapter Questions
Problem 6.61P
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Q. 7
Consider an RL circuit with voltage v(t) is shown in the figure below
If i, and i, denote the currents in each loop, we obtain (using
Kirchhoff's voltage law)
a) In the right loop
di,
R
L2
R2
v(t)
iz
L,
+ R,(i, - i,)+ R,i, = v(t)
dt
b) In the left loop
di,
L1
+ R,(i, – i,) = 0
dt
Suppose L, = 0.8, L, =1.0, R, =1.4, R, = 1, v(t)=100, i, (0) = 0, i¿(0) = 0.
Use simplest numerical technique with two sub-intervals to evaluate i,(0.2) and i,(0.2)
Transcribed Image Text:Q. 7 Consider an RL circuit with voltage v(t) is shown in the figure below If i, and i, denote the currents in each loop, we obtain (using Kirchhoff's voltage law) a) In the right loop di, R L2 R2 v(t) iz L, + R,(i, - i,)+ R,i, = v(t) dt b) In the left loop di, L1 + R,(i, – i,) = 0 dt Suppose L, = 0.8, L, =1.0, R, =1.4, R, = 1, v(t)=100, i, (0) = 0, i¿(0) = 0. Use simplest numerical technique with two sub-intervals to evaluate i,(0.2) and i,(0.2)
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