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eimsori [14]
3 years ago
15

g Design single input op-amp circuits with with closed loop gains of −10, +10, +1 and −1. Use 10kΩ for the feedback resistor Rf

in your designs. What type of feedback is used in the ±10 gain amplifiers? Explain with appropriate equations the effect of feedback on input and output resistances of the amplifier circuits.
Physics
1 answer:
Ronch [10]3 years ago
6 0

Explanation:

For Gain of −10

Inverting op-amp gain is given by

Gain=V_{out} /V_{in} = -R_{f} /R_{in}

The negative sign represents output signal being phase shifted by 180°

-10=-10/R_{in}

R_{in} =-10k/-10

R_{in} =1kΩ  

For Gain of −1

Gain= -R_{f} /R_{in}

-1=-10k/R_{in}

R_{in} =-10k/-1

R_{in} =10kΩ

For Gain of +10

Non-inverting op-amp gain is given by

Gain=V_{out} /V_{in}  =1 + R_{f}/R_{in}

10=1+(10k/R_{in})

10-1=10k/R_{in}

9=10k/R_{in}

R_{in} =10k/9

R_{in} = 1.11kΩ

For Gain of +1

To get a Gain of +1, make R_{f}=0  which results in R_{in} = ∞

The output is directly connected to the input which makes V_{out} equal to V_{in}Therefore, giving a gain of exactly 1.

V_{out} =G*V_{in}

G=1

This kind of design configuration is also known as Voltage Follower.

Negative feedback is being used to design these op-amp amplifiers.

\frac{V_{out}}{V_{in}}  =\frac{G}{1+\beta G}

Negative feedback increases the stability at the cost of reduced gain.

The gain is reduced by a factor of 1+\beta G  

Negative feedback reduces noise and distortion and improves frequency response of the amplifier.

An ideal op-amp should have infinite input resistance and zero output resistance. Negative feedback increases the input impedance and reduces the output impedance.

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