Non-inverting Op-Amp Amplifier Design for Gain of 20 & Load of 1k Ohms

[kayuaret]

Homework Statement

Design a non-inverting op-amp amplifier for a voltage gain of 20 and a load of 1k ohms. Determine the output voltage and output op-amp current if V input = 0.1 sin (omega*t) Volts.

Homework Equations

Voltage Gain = V output/V input
Voltage Gain = 1 + Rf/R

The Attempt at a Solution

 

[kayuaret]

v output = voltage gain * v input = 0.1 sin (omega*t) * 20 = 2 sin (omega*t) Volts
i load, which is the current through R load = V output/R load = 2 sin (omega*t) / 1 ohm

I also figured out from the 2nd voltage gain equation that, Rf = 19R

 

[piercas]

To design a non-inverting op-amp amplifier with a voltage gain of 20, we can use the equation V output = V input * (1 + Rf/R). Since we want a gain of 20, we can set Rf = 19R. We can also choose R to be any value, as long as it is not too large or too small. For this design, we will choose R to be 1k ohms.

Therefore, our circuit will look like this:

[image of non-inverting op-amp circuit with Rf = 19R and R = 1k ohms]

To determine the output voltage, we can use the equation V output = V input * (1 + Rf/R). Plugging in V input = 0.1 sin (omega*t) and Rf = 19R = 19*1k ohms, we get V output = 0.1 sin (omega*t) * (1 + 19) = 2 sin (omega*t) Volts.

To determine the output op-amp current, we can use the equation I output = V output/R. Plugging in V output = 2 sin (omega*t) Volts and R = 1k ohms, we get I output = 2 sin (omega*t)/1k = 0.002 sin (omega*t) Amps.

In summary, for a non-inverting op-amp amplifier with a voltage gain of 20 and a load of 1k ohms, the output voltage will be 2 sin (omega*t) Volts and the output op-amp current will be 0.002 sin (omega*t) Amps.