## Transcription of Circuit Analysis Problem### Problem Statement2) In the following circuit, find \( v_o(t) \).- **Consider:** - \( R_1 = 10 \, \Omega \) - \( R_2 = 2 \, \Omega \) - \( C = 0.2 \, F \) - \( v_i(t) = 2 \cos(5t) \) volts### Diagram ExplanationThe diagram is a non-inverting amplifier circuit. It includes:- A resistor \( R_1 \) connected in series with the positive input of the operational amplifier.- A parallel combination of a resistor \( R_2 \) and a capacitor \( C \) connected to the negative input.- \( V_i \) is the input voltage, and \( V_o \) is the output voltage.### Solution- **Impedance of the Capacitor:** \[ Z_c = -j \, 1 \, \Omega \]- **Non-Inverting Amplifier Equation:** \[ V_o = V_i \left(1 + \frac{Z_2}{R_1}\right) \]- **Parallel Impedance:** \[ Z_2 = R_2 \parallel Z_c \]- **Output Voltage:** \[ V_o = 2.1 \, \angle \, -4.4^\circ \, \text{volts} \]- **Output Voltage as a Function of Time:** \[ v_o(t) = 2.1 \cos(5t - 4.4^\circ) \, \text{volts} \]This document provides a step-by-step calculation for the output voltage of a non-inverting amplifier circuit, considering given resistances and input signal details.

2) In the following circuit, find vo(t) Consider: R₁ = 10 2, R₂= 252, Vi R1 R2 C C=0.2 F, vi(t) = 2 cos (5t) volts Vo ANS: Zc= -j 12, Non-Inverting amplifier: Vo = Vi (1 + Z₂/R₁); Vo = 2.1-4.4° volts; vo(t) = 2.1 cos (5 t – 4.4°) volts 22=R2 || Zc

2) In the following circuit, find vo(t) Consider: R₁ = 10 2, R₂= 252, Vi R1 R2 C C=0.2 F, vi(t) = 2 cos (5t) volts Vo ANS: Zc= -j 12, Non-Inverting amplifier: Vo = Vi (1 + Z₂/R₁); Vo = 2.1-4.4° volts; vo(t) = 2.1 cos (5 t – 4.4°) volts 22=R2 || Zc

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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