Help me please. Calculate the resistance values required to implement the mathem

Question

Help me please.

Calculate the resistance values required to implement the mathematic equation: Vo = -1 x + 2y - z This equation is accomplished using two op amps connected in series. Where the output voltage of the first connected as an inverting summing amplifier, and is equal to:Vo1 = -(Rf/R1 x + Rf/R2 y) With careful selection of the resistance values, we can get the output: Vo1 = -.1x - 2y Enter the resistance values onto the tab 2 data sheets Using a second inverting summing amplifier in the same configuration as in figure 8 we can perform: Vo = -(Vo1 +z) which will produce the result: Vo = -.1x -2y -z. When the resistance values are chosen appropriately for the two stages we will obtain the desired output, namely: Vo = .1x + 2y -z. Calculate the theoretical output voltage for the summing amplifier and enter your results onto the data sheets. Calculate the theoretical output voltage when the input voltages are equal to: x = 15 Volts DC y = 5 Volts DC z = 5 Volts DC Calculate the theoretical output voltage when the input voltages are equal to: x = -15 Volts DC y = 5 Volts DC z = 5 Volts DC Preliminary Calculations Complete all theoretical results and submit your prelab calculations with the report from the first lab. Be sure to enter your results on the data sheets provided Determine the theoretical output voltage for the voltage follower circuit from 6 with Rin = 4.7 k Ohm when Vin = 5 V DC. Vin = 5 V AC peak to peak at 1 kHz. Calculate the theoretical output voltage Vo and current lf for a noninverting amplifier shown in figure 5 when the following is true: Vin = 5 V DC, Rin = 4.7 k Ohm and Rf = 100 Ohm calculate Vo and lf. Rf = 2.2 k Ohm calculate Vo and lf. Rf = 4.7 k Ohm calculate Vo and lf. Rf = 7.5 k Ohm calculate Vo and lf. Let Rin = 4.7 k Ohm and Rf = 7.5 k Ohm. Calculate the theoretical output voltage when the input voltage is an AC signal 5 volts peak to peak, at 1 kHz. Calculate the theoretical output voltage Vo and current lf for an inverting amplifier shown in figure 4 when the following is true: Vin = 5 V DC, Rin = 4.7 k Ohm and Rf = 100 Ohm calculate Vo and lf Rf = 2.2 k Ohm calculate Vo and lf. Rf = 4.7 k Ohm calculate Vo and lf Rf = 7.5 k Ohm calculate Vo and lf Let Rin = 4.7 k Ohm and Rf = 7.5 k Ohm. Calculate the theoretical output voltage when the input voltage is an AC signal 5. volts peak to peak, at 1 kHz.

Explanation / Answer

2.1 voltage follower in non-inverting configuration, Gain = 1+Rf/Rin = 1+0/4.7k =1. Also opamp amplifies from dc voltage to very high frequency due to infinite bandwidth (ideally)

a)Vout = 1* 5V =5V dc

b) Vout =1*5 V ac peak to peak=5 V ac peak to peak at 1 KHz

2.2 a) i) Rf = 100 ohms

Gain = 1+Rf/Rin = 1+100/4.7k = 1.0213

Vo= 1.0213 * 5= 5.1064 V

Due to virtual ground concept, V at both input terminals of opamp = Vin

If = (Vo-Vin)/Rf = 1.064 mA

b) ii) Rf = 2.2k ohms

Gain = 1+Rf/Rin = 1+2.2k/4.7k = 1.468

Vo= 1.468* 5= 7.340 V

Due to virtual ground concept, V at both input terminals of opamp = Vin

If = (Vo-Vin)/Rf = 1.064 mA = same as above

iii) Rf = 4.7k ohms

Gain = 1+Rf/Rin = 1+4.7k/4.7k = 2

Vo= 2* 5= 10 V

Due to virtual ground concept, V at both input terminals of opamp = Vin

If = (Vo-Vin)/Rf = 1.064 mA = same as above

iv) Rf = 7.5k ohms

Gain = 1+Rf/Rin = 1+7.5k/4.7k = 2.596

Vo= 2.596* 5= 12.979 V

Due to virtual ground concept, V at both input terminals of opamp = Vin

If = (Vo-Vin)/Rf = 1.064 mA = same as above

b)Vo = 2.596*5 = 12.979 V peak to peak at 1 KHz

2.3) a) i) Rf = 100 ohms

Gain = -Rf/Rin = -100/4.7k = -0.0213

Vo= -0.0213 * 5= -0.1064 V

Due to virtual ground concept, V at both input terminals of opamp = 0 V

If = (Vo-0)/Rf = -1.064 mA

b) ii) Rf = 2.2k ohms

Gain = -Rf/Rin = -2.2k/4.7k = -0.468

Vo= -0.468* 5= -2.340 V

Due to virtual ground concept, V at both input terminals of opamp = 0 V

If = (Vo-0)/Rf = -1.064 mA = same as above

iii) Rf = 4.7k ohms

Gain = -Rf/Rin = -4.7k/4.7k = -1

Vo= -1* 5= -5 V

Due to virtual ground concept, V at both input terminals of opamp = 0 V

If = (Vo-0)/Rf = -1.064 mA = same as above

iv) Rf = 7.5k ohms

Gain = -Rf/Rin = -7.5k/4.7k = -1.596

Vo= -1.596* 5= -7.979 V

Due to virtual ground concept, V at both input terminals of opamp = 0 V

If = (Vo-0)/Rf = -1.064 mA = same as above

b)Vo = -1.596*5 = 7.979 V peak to peak at 1 KHz and 180 degree out of phase with input

2.4 a) For first inverting summing amplifier, choose Rf= 2.2k

For x, choose R1= 22k so that gain = -2.2k/22k =-0.1

For y, choose R2=1.1k, so that gain =-2.2k/1.1k =-2 (1.1k = 1k and 100 ohm in series)

For second inverting summing amplifier, choose Rf= 2.2k

For z, chhoose R1=2.2k so that gain = -2.2k/2.2k =-1

Thus the function can be realised

b) V0= 0.1x+2y-z

i) V0= 6.5V

ii) V0= 3.5V

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