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Consider the circuit below with V = 20 V, R1 = 100 ohms, R2 = 60 ohms, and L1 = 900 mH. Assume the initial energy stored in the inductor is zero. a. Find the differential equation for the current through the inductor for t greater than zero. (Hint: Find the Thevenin equivalent with respect to the inductor.) b. Find the current through the inductor i(t) based on the solution to the differential equation. c. Find the voltage across the inductor v(t) using the current you found in b. d. Using Laplace transforms, find the voltage across the inductor.

Consider the circuit below with V = 20 V, R1 = 100 ohms, R2 = 60 ohms, and L1 = 900 mH. Assume the initial energy stored in the inductor is zero. a. Find the differential equation for the current through the inductor for t greater than zero. (Hint: Find the Thevenin equivalent with respect to the inductor.) b. Find the current through the inductor i(t) based on the solution to the differential equation. c. Find the voltage across the inductor v(t) using the current you found in b. d. Using Laplace transforms, find the voltage across the inductor.

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
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Consider the circuit below with V = 20 V, R1 = 100 ohms, R2 = 60 ohms, and L1 = 900 mH. Assume the initial energy stored in the inductor is zero.

a. Find the differential equation for the current through the inductor for t greater than zero. (Hint: Find the Thevenin equivalent with respect to the inductor.)

b. Find the current through the inductor i(t) based on the solution to the differential equation.

c. Find the voltage across the inductor v(t) using the current you found in b.

d. Using Laplace transforms, find the voltage across the inductor.

R1 V v (+ R2 L1
Transcribed Image Text:R1 V v (+ R2 L1
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