(c) ) Consider the RL (resistance/inductance) circuit with a voltage v(t) applied as shown in Figure below R1 R2

Power System Analysis and Design (MindTap Course List)
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ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
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Chapter6: Power Flows
Section: Chapter Questions
Problem 6.61P
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Ee203 5c

(c) ) Consider the RL (resistance/inductance) circuit with a voltage v(t) applied
as shown in Figure below
R1
L1
R2
Vt
12
11
L2
If il and i2 denote the currents in each loop we obtain, using Kirchhoff's
voltage law:
(1) In the right loop: L1 di1/ dt + R2(i1 - i2) + R1i1 = v(t)
(ii) In the left loop: L2 di2/ dt + R2 (i2 – i1) = 0
Suppose, in the above circuit, that L1 = 0.8 henry, L2 = 1 henry, R1 = 1.4 Q R2 =
10.
Assume zero initial conditions: i1(0) = i2(0) = 0.
Suppose that the applied voltage is constant: v (t) = 100 volts t2 0.
Determine the solution, looking at the circuit in a Laplace transforms?
Transcribed Image Text:(c) ) Consider the RL (resistance/inductance) circuit with a voltage v(t) applied as shown in Figure below R1 L1 R2 Vt 12 11 L2 If il and i2 denote the currents in each loop we obtain, using Kirchhoff's voltage law: (1) In the right loop: L1 di1/ dt + R2(i1 - i2) + R1i1 = v(t) (ii) In the left loop: L2 di2/ dt + R2 (i2 – i1) = 0 Suppose, in the above circuit, that L1 = 0.8 henry, L2 = 1 henry, R1 = 1.4 Q R2 = 10. Assume zero initial conditions: i1(0) = i2(0) = 0. Suppose that the applied voltage is constant: v (t) = 100 volts t2 0. Determine the solution, looking at the circuit in a Laplace transforms?
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