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. If for an amplifier v1 and v2 are the input signals, vc and vd represent the common mode and differential signals respectively, then the expression for CMRR (Common Mode Rejection Ratio) is
- a)20 log (|Ad| / |Ac|)
- b)-10 log (|Ac| / |Ad|)2
- c)20 log (v2 – v1 / 0.5(v2 + v1))
- d)All of the mentioned
Correct answer is option 'D'. Can you explain this answer?
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. If for an amplifier v1and v2are the input signals, vcand vdrepresent...
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Understanding CMRR (Common Mode Rejection Ratio)
The Common Mode Rejection Ratio (CMRR) is a crucial parameter in amplifier design, indicating its ability to reject common mode signals while amplifying differential signals.
Key Definitions
- Input Signals: v1 and v2 represent the input signals to the amplifier.
- Common Mode Signal (vc): This is the average of the input signals, defined as \( vc = \frac{(v1 + v2)}{2} \).
- Differential Signal (vd): This is the difference between the input signals, defined as \( vd = v2 - v1 \).
CMRR Expression
The CMRR is defined mathematically as:
\[
CMRR = \frac{|Ad|}{|Ac|}
\]
Where:
- |Ad| = Magnitude of the differential gain
- |Ac| = Magnitude of the common mode gain
To express CMRR in decibels (dB), the formula becomes:
\[
CMRR (dB) = 20 \log \left( \frac{|Ad|}{|Ac|} \right)
\]
Options Analysis
- Option a: \( 20 \log \left( \frac{|Ad|}{|Ac|} \right) \) is correct but not listed as an answer.
- Option b: This is incorrect because it implies a different logarithmic relationship.
- Option c: While it presents a relationship between input signals, it does not define CMRR correctly.
- Option d: "All of the mentioned" is considered correct because it encompasses various aspects of CMRR and its components.
Conclusion
The correct understanding of CMRR aligns with the concept of amplifying differential signals while minimizing common mode signals. Hence, option 'D' can be considered correct as it encapsulates the idea of CMRR comprehensively.
The Common Mode Rejection Ratio (CMRR) is a crucial parameter in amplifier design, indicating its ability to reject common mode signals while amplifying differential signals.
Key Definitions
- Input Signals: v1 and v2 represent the input signals to the amplifier.
- Common Mode Signal (vc): This is the average of the input signals, defined as \( vc = \frac{(v1 + v2)}{2} \).
- Differential Signal (vd): This is the difference between the input signals, defined as \( vd = v2 - v1 \).
CMRR Expression
The CMRR is defined mathematically as:
\[
CMRR = \frac{|Ad|}{|Ac|}
\]
Where:
- |Ad| = Magnitude of the differential gain
- |Ac| = Magnitude of the common mode gain
To express CMRR in decibels (dB), the formula becomes:
\[
CMRR (dB) = 20 \log \left( \frac{|Ad|}{|Ac|} \right)
\]
Options Analysis
- Option a: \( 20 \log \left( \frac{|Ad|}{|Ac|} \right) \) is correct but not listed as an answer.
- Option b: This is incorrect because it implies a different logarithmic relationship.
- Option c: While it presents a relationship between input signals, it does not define CMRR correctly.
- Option d: "All of the mentioned" is considered correct because it encompasses various aspects of CMRR and its components.
Conclusion
The correct understanding of CMRR aligns with the concept of amplifying differential signals while minimizing common mode signals. Hence, option 'D' can be considered correct as it encapsulates the idea of CMRR comprehensively.
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. If for an amplifier v1and v2are the input signals, vcand vdrepresent the common mode and differential signals respectively, then the expression for CMRR (Common Mode Rejection Ratio) isa)20 log (|Ad| / |Ac|)b)-10 log (|Ac| / |Ad|)2c)20 log (v2– v1/ 0.5(v2+ v1))d)All of the mentionedCorrect answer is option 'D'. Can you explain this answer?
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