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3. For the circuit below, find the differential equation for vx(t). Also, find the step response. i, (t) F 24 2 H 1492

3. For the circuit below, find the differential equation for vx(t). Also, find the step response. i, (t) F 24 2 H 1492

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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**Problem Statement:** 3. For the circuit below, find the differential equation for \( v_x(t) \). Also, find the step response. **Circuit Description:** - The circuit includes a current source \( i_s(t) \) on the left. - In series with the current source, there is a capacitor labeled \( 1/24 \, \text{F} \). - The voltage across the capacitor is labeled as \( v_x \), with the positive terminal at the top and the negative terminal at the bottom. - Next to the capacitor in series, there is an inductor labeled \( 2 \, \text{H} \). - Finally, in series with the inductor, there is a resistor labeled \( 14 \, \Omega \). The task is to determine the differential equation that describes the voltage \( v_x(t) \) across the capacitor and to find the step response of the system.
Transcribed Image Text:**Problem Statement:** 3. For the circuit below, find the differential equation for \( v_x(t) \). Also, find the step response. **Circuit Description:** - The circuit includes a current source \( i_s(t) \) on the left. - In series with the current source, there is a capacitor labeled \( 1/24 \, \text{F} \). - The voltage across the capacitor is labeled as \( v_x \), with the positive terminal at the top and the negative terminal at the bottom. - Next to the capacitor in series, there is an inductor labeled \( 2 \, \text{H} \). - Finally, in series with the inductor, there is a resistor labeled \( 14 \, \Omega \). The task is to determine the differential equation that describes the voltage \( v_x(t) \) across the capacitor and to find the step response of the system.
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