1. The differentiator circuit shown in Fig. 1 uses an op-amp with ideal characteristics. R₂ HH Ri C₁ + 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= = V₁ -jwC₁R₂ (1+jwC₁R₁) (b) The differentiator has unity gain at 1 kHz and the high frequency gain is 40 dB. If R₂ is 120 ks?, design the rest of the component values. (c) Sketch the Bode magnitude response for this circuit for the frequency range of 10° to 10% Hz. (d) The input signal v, to this differentiator is as shown in Fig. 2. Voltage (mV) 50 50 -50 0 100 200 300 t[ms] Figure 2: Signal applied to the differentiator. (i) Will this signal be differentiated when passing through the circuit given in Fig. 1? Vi (ii) On a clearly labelled graph, sketch the input u, and the output of the circuit in Fig. 1. Cal- culate the significant voltage values and mark all main features in your graph.

1. The differentiator circuit shown in Fig. 1 uses an op-amp with ideal characteristics. R₂ HH Ri C₁ + 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= = V₁ -jwC₁R₂ (1+jwC₁R₁) (b) The differentiator has unity gain at 1 kHz and the high frequency gain is 40 dB. If R₂ is 120 ks?, design the rest of the component values. (c) Sketch the Bode magnitude response for this circuit for the frequency range of 10° to 10% Hz. (d) The input signal v, to this differentiator is as shown in Fig. 2. Voltage (mV) 50 50 -50 0 100 200 300 t[ms] Figure 2: Signal applied to the differentiator. (i) Will this signal be differentiated when passing through the circuit given in Fig. 1? Vi (ii) On a clearly labelled graph, sketch the input u, and the output of the circuit in Fig. 1. Cal- culate the significant voltage values and mark all main features in your graph.

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

See similar textbooks

Similar questions

Please show all work
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?
Answer question below
Find an expression for the output voltage v, below. Assume an ideal op-amp. What mathematical operation does the circuit perform? R2 R
Draw the circuit diagram of the basic noninverting amplifier configuration. Give an expression for the closed-loop voltage gain of the circuit in terms of the resistances, assuming an ideal op amp. Give expressions for the input impedance and output impedance of the circuit.
please help with both a) and b)..
Please let me know what you get.
7. Two important conclusions of an ideal operational amplifier are are ( ). A. Virtual ground and opposite phase B. Virtual short and virtual ground C. Virtual short and virtual open D. Open circuit and short circuit
An inverting op amp has Rf= 600kohm and R1= 6kohm. Determine the op amp circuit voltage gain, input resistance and output resistance. Also Determine the output voltage and input current if the input voltage is 0.1 V. Assume op amp to be ideal one.
4. The following equation needs to be solved in an application circuit using op-amps. Indicate the type of amplifier required along with the required voltage gain value. P = 6X-9Y i. Amplifier 1: ii. Amplifier 2: iii. Amplifier 3: Gain = Gain = Gain =
2 all parts please will give like
H.W: Derive the following and draw the circuit. ⚫ The output voltage of the summation Op-Amp. ⚫ The output voltage of the subtractor Op-Amp.