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Common Mode Rejection Ratio Of BJT Calculator

Common Mode Rejection Ratio Formula:

\[ CMRR = \frac{2 \times G_m \times R_o}{\frac{\Delta R_c}{R_c}} \]

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Ohm
Ohm
Ohm

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1. What is Common Mode Rejection Ratio?

Common Mode Rejection Ratio (CMRR) indicates how much of the common-mode signal will appear in your measurement. It's a key parameter in differential amplifiers that measures the ability to reject signals that are common to both inputs.

2. How Does the Calculator Work?

The calculator uses the CMRR formula:

\[ CMRR = \frac{2 \times G_m \times R_o}{\frac{\Delta R_c}{R_c}} \]

Where:

Explanation: The formula calculates the ratio of differential gain to common-mode gain, with higher values indicating better rejection of common-mode signals.

3. Importance of CMRR Calculation

Details: CMRR is crucial in differential amplifier design as it determines the amplifier's ability to reject noise and interference that appears equally on both input terminals, ensuring accurate signal processing.

4. Using the Calculator

Tips: Enter transconductance in Siemens, output resistance in Ohms, change in collector resistance in Ohms, and collector resistance in Ohms. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is a good CMRR value?
A: Higher CMRR values are better. Typically, values above 80-100 dB are considered good for most applications.

Q2: Why is CMRR important in amplifiers?
A: CMRR helps eliminate noise and interference that affects both input signals equally, improving signal quality and measurement accuracy.

Q3: How does transistor matching affect CMRR?
A: Better matching of transistor parameters leads to higher CMRR values as it reduces common-mode gain.

Q4: Can CMRR be improved in circuit design?
A: Yes, through careful component selection, proper transistor matching, and using current sources in the emitter circuit.

Q5: What applications require high CMRR?
A: Medical instrumentation, audio equipment, data acquisition systems, and any application where noise rejection is critical.

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