Output Resistance With Feedback Of Feedback Transconductance Amplifier Calculator

Formula Used:

\[ \text{Output Resistance of Current Amplifier} = (1 + \text{Open Loop Gain of an Operational Amplifier} \times \text{Feedback Factor}) \times \text{Output Resistance} \] \[ R_{cof} = (1 + A \times \beta) \times R_o \]

Output Resistance of Current Amplifier (R_cof):

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1. What is Output Resistance with Feedback?

The Output Resistance with Feedback of a Feedback Transconductance Amplifier is the effective resistance across the output terminals when feedback is applied. It determines how the amplifier's output responds to load variations and is crucial for stability and performance.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ R_{cof} = (1 + A \times \beta) \times R_o \]

Where:

\( R_{cof} \) — Output Resistance of Current Amplifier with feedback (Ohm)
\( A \) — Open Loop Gain of an Operational Amplifier
\( \beta \) — Feedback Factor
\( R_o \) — Output Resistance without feedback (Ohm)

Explanation: The formula shows how feedback increases the output resistance by a factor of (1 + Aβ), improving the amplifier's performance as a current source.

3. Importance of Output Resistance Calculation

Details: Calculating output resistance with feedback is essential for designing stable amplifier circuits, ensuring proper load matching, and predicting circuit behavior under different operating conditions.

4. Using the Calculator

Tips: Enter the open loop gain (A), feedback factor (β), and output resistance (R_o) values. All values must be positive numbers with R_o > 0.

5. Frequently Asked Questions (FAQ)

Q1: Why does feedback increase output resistance?
A: Feedback reduces the effect of load variations on output current, making the amplifier behave more like an ideal current source with higher output resistance.

Q2: What is typical range for feedback factor β?
A: Feedback factor typically ranges from 0 to 1, where 0 means no feedback and 1 means full feedback.

Q3: How does output resistance affect amplifier performance?
A: Higher output resistance provides better current sourcing capability and makes the output current less dependent on load variations.

Q4: Can this formula be used for all amplifier types?
A: This specific formula applies to transconductance amplifiers with current feedback. Other amplifier types may have different feedback relationships.

Q5: What are practical applications of this calculation?
A: This calculation is used in designing current sources, amplifier stages, and feedback networks in various electronic systems and integrated circuits.