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The gain for an ideal non-inverting operational amplifier is (given R2 is the feedback resistance)
- a)R2/R1 – 1
- b)R2/R1
- c)-R2/R1
- d)R2/R1 + 1
Correct answer is option 'D'. Can you explain this answer?
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The gain for an ideal non-inverting operational amplifier is (given R2...
It is a standard mathematical expression.
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The gain for an ideal non-inverting operational amplifier is (given R2...
Gain for an ideal non-inverting operational amplifier:
Operational amplifiers (op-amps) are widely used in electronic circuits for signal processing. The gain for an ideal non-inverting operational amplifier can be determined using the following formula:
Gain = 1 + (R2 / R1)
Explanation:
Non-inverting Operational Amplifier Configuration:
In a non-inverting operational amplifier configuration, the input signal is applied to the non-inverting terminal of the op-amp, while the feedback resistor (R2) is connected between the output and the inverting terminal. Another resistor (R1) is connected between the inverting terminal and ground.
Calculating Gain:
The gain of a non-inverting operational amplifier is determined by the ratio of the feedback resistor (R2) to the input resistor (R1). The gain formula is derived from the voltage divider rule applied to the feedback network.
Gain = Vout / Vin = 1 + (R2 / R1)
The gain is always greater than 1 in a non-inverting configuration, which means that the output voltage is amplified compared to the input voltage.
Correct Answer:
In the given options, option 'D' (R2/R1 + 1) is the correct expression for the gain of an ideal non-inverting operational amplifier. This formula accurately represents the relationship between the feedback resistor (R2) and the input resistor (R1) in determining the gain of the amplifier.
In conclusion, understanding the gain formula for a non-inverting operational amplifier is essential for designing and analyzing electronic circuits that utilize op-amps for signal processing.
Operational amplifiers (op-amps) are widely used in electronic circuits for signal processing. The gain for an ideal non-inverting operational amplifier can be determined using the following formula:
Gain = 1 + (R2 / R1)
Explanation:
Non-inverting Operational Amplifier Configuration:
In a non-inverting operational amplifier configuration, the input signal is applied to the non-inverting terminal of the op-amp, while the feedback resistor (R2) is connected between the output and the inverting terminal. Another resistor (R1) is connected between the inverting terminal and ground.
Calculating Gain:
The gain of a non-inverting operational amplifier is determined by the ratio of the feedback resistor (R2) to the input resistor (R1). The gain formula is derived from the voltage divider rule applied to the feedback network.
Gain = Vout / Vin = 1 + (R2 / R1)
The gain is always greater than 1 in a non-inverting configuration, which means that the output voltage is amplified compared to the input voltage.
Correct Answer:
In the given options, option 'D' (R2/R1 + 1) is the correct expression for the gain of an ideal non-inverting operational amplifier. This formula accurately represents the relationship between the feedback resistor (R2) and the input resistor (R1) in determining the gain of the amplifier.
In conclusion, understanding the gain formula for a non-inverting operational amplifier is essential for designing and analyzing electronic circuits that utilize op-amps for signal processing.
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