**Problem 75**An input voltage can be differentiated in time by the following op amp differentiator circuit:![Differentiator Circuit Diagram](differentiator_circuit.png)**(a)** Using the method of node voltages, prove that the following relationship exists between the input and output voltages:\[ v_o(t) = -RC \frac{dv_i}{dt} \]**(b)** Using \( R = 250 \, \text{k}\Omega \), \( C = 10 \, \mu\text{F} \), and \( v_i(t) = 12 r(t) \) volt where \( r(t) \) is the unit ramp input.*Hint: \( r(t) = t \ast u(t) \) where \( u(t) \) is the unit step input. In other words, \( v_i(t) = 12 \ast t \) for \( t > 0 \) but is equal to zero for \( t < 0 \).***Explanation of the Circuit Diagram:**The diagram depicts an operational amplifier (op amp) differentiator circuit. It includes:- An input voltage source \( v_i \) connected to a capacitor \( C \).- The capacitor \( C \) connects to the inverting input of the op amp.- A feedback resistor \( R \) is connected from the output to the inverting input.- The non-inverting input is grounded.- The output voltage is denoted as \( v_o \). This configuration allows the output voltage to be proportional to the rate of change of the input voltage, thus differentiating the input signal.

Note: We’ll answer the first question since the exact one wasn’t specified and data is also missing…

Problem 75 An input voltage can be differentiated in time by the R following op amp differentiator circuit: (a) Using the method of node voltages, prove V; that the following relationship exists between the input and output voltages: dvi v.(t) = –RC dt (b) Using R = 250 k2, C = 10 µF, and vi(t) = 12*r(t) volt where r(t) is the unit ramp input. Hint: r(t) = t*u(t) where u(t) is the unit step input. In other words, vi(t) = 12*t for t>0 but is equal to zero for t<0.

Problem 75 An input voltage can be differentiated in time by the R following op amp differentiator circuit: (a) Using the method of node voltages, prove V; that the following relationship exists between the input and output voltages: dvi v.(t) = –RC dt (b) Using R = 250 k2, C = 10 µF, and vi(t) = 12r(t) volt where r(t) is the unit ramp input. Hint: r(t) = tu(t) where u(t) is the unit step input. In other words, vi(t) = 12*t for t>0 but is equal to zero for t<0.

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 answer in short like it Please Thanks..
When a second-order system is subjected to a unit step input, the values of = 0.5 and wn = 6 rad/sec. The rise time is O a. 5 O b. 4.03 O c. 0.5 O d. none Oe. 0.403
8) la Ix (Amps) Consider the following circuit and the associated IV curves. Assume that Is = 500fA and VT = .025V. a) Determine when la = 60uA and Vx = 3V. Show your work! b) Determine a when la = 60uA and Vx=3V. Show your work! c) Determine Vbe when la = 60uA and Vx=3V. Show your work! You may use the approximations that were presented in class and additionally you may neglect Va. Ix 8.00E-03 7.00E-03 6.00E-03 5.00E-03 4.00E-03 3.00E-03 2.00E-03 1.00E-03 0.00E+00 0 0.5 Vx 1 1.5 2 2.5 Vx (Volts) 3 3.5 4 4.5 5 ·la = 0 -la = 20uA -la = 40uA la = 60uA
urgent in one hour
Ex
Obtain the state equations for the circuit given in the figure.
In the circuit in the figure Vcc= 25 V, Vi= 40 mV, RB = 470 kg. RC = 3.3 kg, RE1 = 470 G, RE2 = 1.2 kg RL = 32.5 k(2 and B = 110 because you find the value of the output voltage (Vo) according to. Note-1: capacitors are worth neglecting at mid-band frequency. Note-2: the output impedance (ro) of the transistor will be ignored. RB Q1 NPN RC
3) With reference to the switching conditions given below develop an appropriate circuitry that can develop output waveforms as given below, Mark in the circuitry the different components as well Periodic Time (T) A +VL 90° 180° 360 450° 540° time 270° -VL VAB VAC VBc VBA VCA VCB VAB VẠC VBc VBA VDC Vpc 30° 90° 150° 210° 270° 330° 390° 450° 510° 570° time 60° Output Voltage Waveform
Q5-A: Draw the waveform of the output generated from applying following waveform of selectors on a 4 to 1 MUX where: 13 12 11 10 = 1010 13 12 1 10 = 0 110 So S1 4 to 1 Multiplexer → Output 13 S1 So Q5-B: Add these hexadecimal numbers: i. FFF+BB ii. ABO+F6B
Q8)This Multiple choice questions from electronics lab course &just write for me final answer ,It easy for you.