1. The differentiator circuit shown in Fig. 1 uses an op-amp with ideal characteristics. R2 Vi σ R₁ Vo Figure 1: Differentiator circuit. (a) Prove that the gain of the circuit is given by the following expression using first principles for an ideal op-amp: Vo Gain = Vi -jwC₁R₂ (1 + jwC₁R₁) (b) The differentiator has unity gain at 1 kHz and the high frequency gain is 40 dB. If R2 is 120 kn, design the rest of the component values. (c) Sketch the Bode magnitude response for this circuit for the frequency range of 10° to 108 Hz.

1. The differentiator circuit shown in Fig. 1 uses an op-amp with ideal characteristics. R2 Vi σ R₁ Vo Figure 1: Differentiator circuit. (a) Prove that the gain of the circuit is given by the following expression using first principles for an ideal op-amp: Vo Gain = Vi -jwC₁R₂ (1 + jwC₁R₁) (b) The differentiator has unity gain at 1 kHz and the high frequency gain is 40 dB. If R2 is 120 kn, design the rest of the component values. (c) Sketch the Bode magnitude response for this circuit for the frequency range of 10° to 108 Hz.

Delmar's Standard Textbook Of Electricity

7th Edition

ISBN:9781337900348

Author:Stephen L. Herman

Publisher:Stephen L. Herman

Chapter18: Resistive-inductive Parallel Circuits

Section: Chapter Questions

Problem 13PP: In an R-L parallel circuit, IT=1.25 amps, R=1.2k, and XL=1k. Find IR

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Discussion: 1- What kind of restrictions Non- inverting op-amp face compared to inverting op-amp? 2- State 5 different types of op amp. Demonstrate them briefly then draw the circuit diagram for each kind. 3- For an inverting op amp, if the voltage input peak equal to 10.2 V, R=10KQ and RF 2002, find Vo and the voltage gain. Assume the input signal has a sinusoidal behavior. 4- Consider an OP amp connected to the inverting configuration to realize a closed-loop gain of -50 V/V utilizing resistors o f 1 k2 and 50 kQ. A load resistance RL is connected from the output to ground, and a low-frequency sine wave signal of peak amplitude Vp is applied to the input. Let the OP amp be ideal except that its output voltage saturates at +/- 10V and its output current is limited to the range +/-15 mA. For RL = 1 k2, what is the maximum possible value of Vp while an undistorted output sinusoid is obtained?
If the ideal design for op-Amp circuit generate 200 mV at the output, Then practically with 26 mV offset voltage the output voltage of the circuit will be equal to .. . mV
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3- For an inverting op amp, if the voltage input peak equal to 10.2 V, RF10KN and R= 2002, find Vo and the voltage gain. Assume the input signal has a sinusoidal behavior.
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Given circuit, assume op-amp is ideal. What is the input resistance of the circuit, RIN? What are the currents in the inputs of op-amp? i-=? i+=? What is the output resistance of the circuit, ROUT=? Find voltage VA and VB? What is the nodal equation (KCL) at node VB? Solve for VOUT=?
a) Design a non-inverting amplifier using an ideal op amp that has a gain 7.5. b) If you wish to amplify signals between -2V and 1.2V using the circuit you designed in part (a) what are the smallest power supply voltages you can use? c) Draw your final circuit diagram. d) Assume that the voltage signal source is vs = -1V and the feedback resistor Rf is replaced with a variable resistor. Specify the range of Rf (in kN ) which will cause the op amp to saturate?
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