2.57 Use Eq. (2.11) to show that if the reduction in the closed-loop gain G from the nominal value G0 = 1+R2/R1 is to be kept less than x% of G0, then the open-loop gain of the op amp must exceed G0 by at least a factor F = (100/x)−1 100/x. Find the required F for x = 0.01, 0.1, 1, and 10. Utilize these results to find for each value of x the minimum required open-loop gain to obtain closed-loop gains of 1, 10, 102, 103, and 104 V/V.

57 - 2.57 Use Eq. (2.11) to show that if the reduction in the closed-loop gain G from the nominal value G0 = 1+R2/R1 is to be kept less than x% of G0, then the open-loop gain of the op amp must exceed G0 by at least a factor F = (100/x)−1  100/x. Find the required F for x = 0.01, 0.1, 1, and 10. Utilize these results to find for each value of x the minimum required open-loop gain to obtain closed-loop gains of 1, 10, 102, 103, and 104 V/V.

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images - 2.57 Use Eq. (2.11) to show that if the reduction in the closed-loop gain G from the nominal value G0 = 1+R2/R1 is to be kept less than x% of G0, then the open-loop gain of the op amp must exceed G0 by at least a factor F = (100/x)−1  100/x. Find the required F for x = 0.01, 0.1, 1, and 10. Utilize these results to find for each value of x the minimum required open-loop gain to obtain closed-loop gains of 1, 10, 102, 103, and 104 V/V.

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