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Engineering and Comp Sci Homework Help
Design Amplifier w/ 1k & 10k Resistors for +10 V/V Gain
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[QUOTE="STEMucator, post: 4986636, member: 426227"] [h2]Homework Statement [/h2] Given the availability of resistors of value 1 kΩ and 10 kΩ only, design a circuit based on the non-inverting configuration to realize a gain of +10 V/V.[h2]Homework Equations[/h2][h2]The Attempt at a Solution[/h2] So I was doing some of those good old design problems, and I came across this one. I know the gain of the standard non-inverting configuration is given by ##\frac{v_o}{v_i} = 1 + \frac{R_2}{R_1}##. So I want to design the circuit such that: $$10 = 1 + \frac{R_2}{R_1} \Rightarrow \frac{R_2}{R_1} = 9$$ I'm limited to only the ##1k## and ##10k## resistors provided, and this provides a design problem. Usually, we would like the input impedance to be a large as possible to retain as much of the signal in accordance with ##V = IR##. Similarly, we would like the output impedance to be as small as possible. Looking at the equation: $$\frac{R_2}{R_1} = 9$$ It doesn't take long to realize I must choose ##R_1 << R_2##, which of course is the exact opposite of what a good amplifier should have. Ideally I want to choose ##R_1 >> R_2##, but I can't figure out the ideal resistor values. Is this just a bad amplifier design? [/QUOTE]
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Design Amplifier w/ 1k & 10k Resistors for +10 V/V Gain
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