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.

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14-02-2020
Physics

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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.

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nafeesahmed nafeesahmed · Answer 1 · 2020-02-16T16:08:35+01:00

Explanation:

For Gain of −10

Inverting op-amp gain is given by

[tex]Gain=V_{out} /V_{in} = -R_{f} /R_{in}[/tex]

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

[tex]-10=-10/R_{in}[/tex]

[tex]R_{in} =-10k/-10[/tex]

[tex]R_{in} =1k[/tex]Ω

For Gain of −1

[tex]Gain= -R_{f} /R_{in}[/tex]

[tex]-1=-10k/R_{in}[/tex]

[tex]R_{in} =-10k/-1[/tex]

[tex]R_{in} =10k[/tex]Ω

For Gain of +10

Non-inverting op-amp gain is given by

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

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

[tex]10-1=10k/R_{in}[/tex]

[tex]9=10k/R_{in}[/tex]

[tex]R_{in} =10k/9[/tex]

[tex]R_{in} = 1.11k[/tex]Ω

For Gain of +1

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

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

[tex]V_{out} =G*V_{in}[/tex]

[tex]G=1[/tex]

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

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

[tex]\frac{V_{out}}{V_{in}} =\frac{G}{1+\beta G}[/tex]

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

The gain is reduced by a factor of [tex]1+\beta G[/tex]

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.