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● 6.25The two parallel inductors in Fig. P6.25 are connected across the terminals of a black box at t = 0. The resulting voltage v fort ≥ 0 is known to be -1800e-20tV. It is also known that i₁(0) = 4A and i₂(0) = -16A. a. Replace the original inductors with an equivalent inductor and find i(t) fort ≥ 0. . b. Find i₁ (t) for t≥ 0. c. Find i₂ for t≥ 0.

● 6.25The two parallel inductors in Fig. P6.25 are connected across the terminals of a black box at t = 0. The resulting voltage v fort ≥ 0 is known to be -1800e-20tV. It is also known that i₁(0) = 4A and i₂(0) = -16A. a. Replace the original inductors with an equivalent inductor and find i(t) fort ≥ 0. . b. Find i₁ (t) for t≥ 0. c. Find i₂ for t≥ 0.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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6.25The two parallel inductors in Fig. P6.25 are connected across the terminals of a black box at t = 0. The resulting voltage v fort ≥ 0 is known to be -1800e-20tV. It is also known that i₁(0) = 4A and i₂(0) = -16A. ● a. Replace the original inductors with an equivalent inductor and find i(t) fort ≥ 0. . b. Find i₁ (t) for t≥ 0. c. Find 1₂ for t≥ 0. ● . d. How much energy is delivered to the black box in the time interval 0 ≤ t < ∞o? e. How much energy was initially stored in the parallel inductors? f. How much energy is trapped in the ideal inductors? g. Show that your solutions for i₁ and iz agree with the answer obtained in (f).
Transcribed Image Text:6.25The two parallel inductors in Fig. P6.25 are connected across the terminals of a black box at t = 0. The resulting voltage v fort ≥ 0 is known to be -1800e-20tV. It is also known that i₁(0) = 4A and i₂(0) = -16A. ● a. Replace the original inductors with an equivalent inductor and find i(t) fort ≥ 0. . b. Find i₁ (t) for t≥ 0. c. Find 1₂ for t≥ 0. ● . d. How much energy is delivered to the black box in the time interval 0 ≤ t < ∞o? e. How much energy was initially stored in the parallel inductors? f. How much energy is trapped in the ideal inductors? g. Show that your solutions for i₁ and iz agree with the answer obtained in (f).
i(t) 10 H ₂(t) 30 H t = 0 + v Black box Answer (a)it = -12e-20t A, (b) i₁(t) = -9e-20t+13A, (c) i₂(t) = -3e-20t 13A, (d) w = 540J, (e) = w = 3920J, (f) Wtrapped = 3380), (g) Wtrapped = 3380J agree -
Transcribed Image Text:i(t) 10 H ₂(t) 30 H t = 0 + v Black box Answer (a)it = -12e-20t A, (b) i₁(t) = -9e-20t+13A, (c) i₂(t) = -3e-20t 13A, (d) w = 540J, (e) = w = 3920J, (f) Wtrapped = 3380), (g) Wtrapped = 3380J agree -
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