QI. The initial values of i, and iz in the circuit shown are +3 A and -5 A, respectively. The voltage terminals of the parallel inductors for tt 2 0 is –30e-st (a) If the parallel inductors are replaced by a single inductor, what is its inductance? (b) What is the initial current and its reference direction in the equivalent inductor? (c) Use the equivalent inductor to find i(t). (d) Find i (t) and iz(t). Verify that the solutions for i, (t).iz (t) and i(t) satisfy Kirchhoff's current law. i(1) (0360 mH i0) 3240 mH Figure 1

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Q1. The initial values of i, and iz in the circuit shown are +3 A and -5 A, respectively. The
voltage terminals of the parallel inductors for tt > 0 is –30e-5t
(a) If the parallel inductors are replaced by a single inductor, what is its inductance?
(b) What is the initial current and its reference direction in the equivalent inductor?
(c) Use the equivalent inductor to find i(t).
(d) Find i, (t) and iz(t). Verify that the solutions for i, (t),iz (t) and i(t) satisfy Kirchhoff's
current law.
i(1)
i,(1)360 mH i(13240 mH
Figure 1
Transcribed Image Text:Q1. The initial values of i, and iz in the circuit shown are +3 A and -5 A, respectively. The voltage terminals of the parallel inductors for tt > 0 is –30e-5t (a) If the parallel inductors are replaced by a single inductor, what is its inductance? (b) What is the initial current and its reference direction in the equivalent inductor? (c) Use the equivalent inductor to find i(t). (d) Find i, (t) and iz(t). Verify that the solutions for i, (t),iz (t) and i(t) satisfy Kirchhoff's current law. i(1) i,(1)360 mH i(13240 mH Figure 1
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