There is no energy stored in the circuit in shown at the time the switch is opened. 1. Derive the differential equation that governs the behavior of i2 if L1=5 H, L2=0.2 H, M=0.5 H, and Ro=10 Ω. 2. Show that when ig=e−10t−10 A, t≥0, the differential equation derived in (a) is satisfied when i2=625e−10t−250e−50t mA, t≥0. 3. Find the expression for the voltage v1 across the current source. 4. What is the initial value of v1? Does this make sense in terms of known circuit behavior?
There is no energy stored in the circuit in shown at the time the switch is opened. 1. Derive the differential equation that governs the behavior of i2 if L1=5 H, L2=0.2 H, M=0.5 H, and Ro=10 Ω. 2. Show that when ig=e−10t−10 A, t≥0, the differential equation derived in (a) is satisfied when i2=625e−10t−250e−50t mA, t≥0. 3. Find the expression for the voltage v1 across the current source. 4. What is the initial value of v1? Does this make sense in terms of known circuit behavior?
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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There is no energy stored in the circuit in shown at the time the switch is opened.
1. Derive the differential equation that governs the behavior of i2 if L1=5 H, L2=0.2 H, M=0.5 H, and Ro=10 Ω.
2. Show that when ig=e−10t−10 A, t≥0, the differential equation derived in (a) is satisfied when i2=625e−10t−250e−50t mA, t≥0.
3. Find the expression for the voltage v1 across the current source.
4. What is the initial value of v1? Does this make sense in terms of known circuit behavior?
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