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Step of 7 2.018P Consider an ideal op amp with, Resistors 5 kΩ and 15 kΩ is used create a +5 V supply from a -15 V reference. Determine the gain of the inverting op-amp. 5 Gain 15 v, 3 3 Therefore, = 15 kΩ and = 5 kΩ Step of 7 Sketch the ideal op amp. 5 kΩ 15 kΩ -15 5 V + Figure 1 Step of 7 From Figure 1, the voltage at the inverting terminal and non-inverting terminal are equal. V⁻ = V Determine the voltages at the ends of the 5 kΩ resistor. From Figure 1, the voltage at the starting end of 5 kΩ resistor is 0 V. The voltage at the ending end of 5 kΩ resistor is 5 V Therefore, the voltage at the starting end of 5 kΩ resistor is 0V The voltage at the ending end of 5 kΩ resistor is 5V Step of 7 Consider the resistors are 1% resistors, whose actual values are bounded by nominal values by 1% Determine the resistance with % tolerance to variation. 15x1 100 kΩ and 100 and 14.85 kΩ and 15.15 kΩ Determine the resistance with % tolerance to 5 kΩ variation. 100 kΩ and kΩ (5-0.05)kΩ and 4.95 kΩ and 5.05 kΩ Step of 7 Determine the limits of the output voltage produced. = = 4.9 V V Therefore, output voltage range is 4.9 V and V Step 6 of 7 Consider the tolerance to the input supply is 1% Determine the input voltage variation with 1% tolerance. 100 and 100 (15-0.15) and (15+0.15) 14.85 V and 15.15 V Step of 7 Determine the range of the output voltages. 15.15 4.95 kΩ kΩ to 14.85 4.85 V to 5.15 V Therefore, the range of output voltages is 4.85 V