Vs(t) In the following circuit find Vo(t) R1 ww 10 kQ L 80 mH R3 300 Ω WHI Vs(t) = 125 cos (500 t + 15°) mV R2 10 kg M CI с 25 nF WI Vo(t) R4 20 ΚΩ

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### Circuit Analysis: Finding \( V_o(t) \)

#### Problem Statement
In the following circuit, find \( V_o(t) \).

#### Circuit Components
- **Resistors:**
  - \( R_1 = 10 \, \text{k}\Omega \)
  - \( R_2 = 10 \, \text{k}\Omega \)
  - \( R_3 = 300 \, \Omega \)
  - \( R_4 = 20 \, \text{k}\Omega \)
  
- **Inductor:**
  - \( L = 80 \, \text{mH} \)
  
- **Capacitor:**
  - \( C = 25 \, \text{nF} \)

- **Input Voltage Source:**
  - \( V_s(t) = 125 \cos(500t + 15^\circ) \, \text{mV} \)

#### Circuit Configuration
- The circuit includes an operational amplifier (op-amp) in a configuration involving feedback through \( R_2 \) and the capacitor \( C \).
- The input voltage \( V_s(t) \) is applied across the inductor \( L \) and resistor \( R_3 \).
- The op-amp has two inputs: the inverting input connected to the junction of \( R_1 \), \( R_2 \), and \( C \), and the non-inverting input is grounded.
- The output voltage \( V_o(t) \) is taken from the output of the op-amp and connected through \( R_4 \) to ground. 

#### Objective
Analyze the circuit to determine the expression for the output voltage \( V_o(t) \). Use the provided component values and source voltage to perform the analysis. This may involve applying circuit theorems, phasor analysis, and op-amp properties to derive \( V_o(t) \).
Transcribed Image Text:### Circuit Analysis: Finding \( V_o(t) \) #### Problem Statement In the following circuit, find \( V_o(t) \). #### Circuit Components - **Resistors:** - \( R_1 = 10 \, \text{k}\Omega \) - \( R_2 = 10 \, \text{k}\Omega \) - \( R_3 = 300 \, \Omega \) - \( R_4 = 20 \, \text{k}\Omega \) - **Inductor:** - \( L = 80 \, \text{mH} \) - **Capacitor:** - \( C = 25 \, \text{nF} \) - **Input Voltage Source:** - \( V_s(t) = 125 \cos(500t + 15^\circ) \, \text{mV} \) #### Circuit Configuration - The circuit includes an operational amplifier (op-amp) in a configuration involving feedback through \( R_2 \) and the capacitor \( C \). - The input voltage \( V_s(t) \) is applied across the inductor \( L \) and resistor \( R_3 \). - The op-amp has two inputs: the inverting input connected to the junction of \( R_1 \), \( R_2 \), and \( C \), and the non-inverting input is grounded. - The output voltage \( V_o(t) \) is taken from the output of the op-amp and connected through \( R_4 \) to ground. #### Objective Analyze the circuit to determine the expression for the output voltage \( V_o(t) \). Use the provided component values and source voltage to perform the analysis. This may involve applying circuit theorems, phasor analysis, and op-amp properties to derive \( V_o(t) \).
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