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Determine v.(f) for t>0. Let i, 10 u(t) HA and assume that the capacitor is initially uncharged. 10 k2 2 µF ww ww 50 k2 i, Also, find the capacitor voltage as a function of time.

Determine v.(f) for t>0. Let i, 10 u(t) HA and assume that the capacitor is initially uncharged. 10 k2 2 µF ww ww 50 k2 i, Also, find the capacitor voltage as a function of time.

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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**Chapter 7, Problem 74** **Task:** Determine \( v_o(t) \) for \( t > 0 \). Let \( i_s = 10 \, u(t) \, \mu A \) and assume that the capacitor is initially uncharged. **Diagram Description:** The circuit consists of the following components: - A current source \( i_s \) defined as \( 10 \, u(t) \, \mu A \). - A 50 kΩ resistor connected in series with the current source. - A 2 μF capacitor parallel to the 50 kΩ resistor. - An operational amplifier (op-amp) with its inverting input connected to the junction between the 50 kΩ resistor and the capacitor. - A 10 kΩ resistor connected from the output of the op-amp to its inverting input. - The output voltage of the op-amp is labeled \( v_o \). - The non-inverting input of the op-amp is grounded. **Objective:** Find \( v_o(t) \) and the capacitor voltage as functions of time. Given the initial conditions, there are opportunities to apply the properties of ideal op-amps, differential equations in RLC circuits, and step response analysis to solve the problem.
Transcribed Image Text:**Chapter 7, Problem 74** **Task:** Determine \( v_o(t) \) for \( t > 0 \). Let \( i_s = 10 \, u(t) \, \mu A \) and assume that the capacitor is initially uncharged. **Diagram Description:** The circuit consists of the following components: - A current source \( i_s \) defined as \( 10 \, u(t) \, \mu A \). - A 50 kΩ resistor connected in series with the current source. - A 2 μF capacitor parallel to the 50 kΩ resistor. - An operational amplifier (op-amp) with its inverting input connected to the junction between the 50 kΩ resistor and the capacitor. - A 10 kΩ resistor connected from the output of the op-amp to its inverting input. - The output voltage of the op-amp is labeled \( v_o \). - The non-inverting input of the op-amp is grounded. **Objective:** Find \( v_o(t) \) and the capacitor voltage as functions of time. Given the initial conditions, there are opportunities to apply the properties of ideal op-amps, differential equations in RLC circuits, and step response analysis to solve the problem.
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