a) write the node for the equation for the circuit using only the terms Vin, Vo, R1, and R2. b) rearrange the equation from part (a) to solve for Vo/Vin. c) Replace the resistor values in the expression from part (b) and determine the gain of the op-amp circuit

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a) write the node for the equation for the circuit using only the terms Vin, Vo, R1, and R2. b) rearrange the equation from part (a) to solve for Vo/Vin. c) Replace the resistor values in the expression from part (b) and determine the gain of the op-amp circuit.
### Operational Amplifier Circuit Diagram

#### Diagram Explanation:

This circuit diagram illustrates an operational amplifier (op-amp) configuration with the following components and connections:

1. **Voltage Source**: 
   - Input voltage denoted as \( V_{\text{in}} \).

2. **Resistors**:
   - \( R_1 = 1 \, \text{k}\Omega \)
   - \( R_2 = 6.2 \, \text{k}\Omega \)
   - Load resistor \( R_L = 10 \, \text{k}\Omega \)

3. **Currents**:
   - \( I_1 \) is the current passing through \( R_1 \).
   - \( I_2 \) is the current passing through \( R_2 \).

4. **Op-Amp Terminals**:
   - Non-inverting input labeled \( v_2 \).
   - Inverting input labeled \( v_1 \).
   - Output voltage denoted as \( v_o \).

5. **Power Supply to Op-Amp**:
   - Positive voltage supply of +12V.
   - Negative voltage supply of -12V.

This configuration commonly represents a non-inverting amplifier where the input voltage is connected to the non-inverting terminal of the op-amp. The resistors \( R_1 \) and \( R_2 \) form a feedback loop that influences the gain of the amplifier. The output voltage \( v_o \) is taken across the load resistor \( R_L \). The circuit is grounded at multiple points, ensuring stability and proper operation of the op-amp.
Transcribed Image Text:### Operational Amplifier Circuit Diagram #### Diagram Explanation: This circuit diagram illustrates an operational amplifier (op-amp) configuration with the following components and connections: 1. **Voltage Source**: - Input voltage denoted as \( V_{\text{in}} \). 2. **Resistors**: - \( R_1 = 1 \, \text{k}\Omega \) - \( R_2 = 6.2 \, \text{k}\Omega \) - Load resistor \( R_L = 10 \, \text{k}\Omega \) 3. **Currents**: - \( I_1 \) is the current passing through \( R_1 \). - \( I_2 \) is the current passing through \( R_2 \). 4. **Op-Amp Terminals**: - Non-inverting input labeled \( v_2 \). - Inverting input labeled \( v_1 \). - Output voltage denoted as \( v_o \). 5. **Power Supply to Op-Amp**: - Positive voltage supply of +12V. - Negative voltage supply of -12V. This configuration commonly represents a non-inverting amplifier where the input voltage is connected to the non-inverting terminal of the op-amp. The resistors \( R_1 \) and \( R_2 \) form a feedback loop that influences the gain of the amplifier. The output voltage \( v_o \) is taken across the load resistor \( R_L \). The circuit is grounded at multiple points, ensuring stability and proper operation of the op-amp.
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