Concept explainers
An op amp integrator with R = 4 MΩ and C = 1 μF has the input waveform shown in Fig. 6.88. Plot the output waveform.
Figure 6.88
For Prob. 6.69.
Sketch the output voltage waveform of an op-amp integrator.
Explanation of Solution
Given data:
The value of the resistor
The value of the capacitor
Refer to Figure 6.88 in the textbook.
Formula used:
Write the expression to calculate the output voltage of an op-amp integrator.
Here,
Calculation:
Substitute
The given input voltage waveform is redrawn as Figure 1.
Refer to Figure 1, the input voltage
Case (i): For
Substitute
Simplify the equation to find
Substitute
Case (ii): For
Equation (2) can be rewritten as following equation to find the output voltage for
Substitute
Simplify the equation to find
Substitute
Case (iii): For
Equation (2) can be rewritten as following equation to find the output voltage for
Substitute
Simplify the equation to find
Substitute
Case (iv): For
Equation (2) can be rewritten as following equation to find the output voltage for
Substitute
Simplify the equation to find
Substitute
Case (v): For
Equation (2) can be rewritten as following equation to find the output voltage for
Substitute
Simplify the equation to find
Substitute
Therefore, the output voltage function for Figure 1 is expressed as,
The output voltage waveform is drawn as Figure 2.
Conclusion:
Thus, the output voltage waveform of an op-amp integrator is sketched.
Want to see more full solutions like this?
Chapter 6 Solutions
Fundamentals of Electric Circuits
- Design an op amp circuit so that the output is: Vout = 3.5 Vin + 5arrow_forwardAn op amp has a GBP of 106 . A 0.3 μV sinusoidal signal at 5 KHz is required to beamplified to 5 V. Calculate the gains and draw the schematic circuit to achieve this.arrow_forward6.19 Obtain the equivalent capacitance of the circuit in Fig. 6.54. 35 μF Figure 6.54 40 μF 10 μF 10 μF 20 μF 15 μF 15 μF For Prob. 6.19. b 5 μF HHarrow_forward
- Please work out the attached question showing working out if capacitor value is 8 Resistors value 220 amps value 1.9arrow_forward6.48 Under steady-state dc conditions, find i and v in the circuit in Fig. 6.71. 5 mA Figure 6.71 For Prob. 6.48. i 2mH 30 ΚΩ 20 ΚΩ 6 μF Iarrow_forwardA) Reduce the given circuit to the fewest possible componentsthru series/parallel combinationsB) DetermineVx if all resistors are 10k , all capacitors are 50uF and all inductors are 1mHarrow_forward
- (a) Write an expression for the output of the amplifier in Figure 7-32 (p. 334) in terms of v1, v2, v3, and v4. (b) What is the output when v1 = 5 sinωt, v2 = –3 V dc, v3 = –sin ωt, and v4 = 2 V dc? (c) What value should Rc have?arrow_forwardDesign an attenuator circuit that is suitable for reducing 15 V signal to 1 V signal.arrow_forwardThis quation about Sequential Circuits Design i need solution in 15 minut pleasarrow_forward
- R Vout 5 V Vin 0 Given an op-amp circuit with R = 100 kN and C = 100 µF. The input voltage Vin is a step voltage from 0 V to 5 V. The output voltage Vout is 0 V at time of Os. What is the output voltage after 5 s? V Vout (t = 5 s) =.arrow_forward6:59 Hw: Find Vo and ó in the circuit of fi(2) 6Aarrow_forwardDesign an electronic circuit that can satisfy the following equation (avi) Vo=-R 0 c i using an operational amplifiersarrow_forward
- Introductory Circuit Analysis (13th Edition)Electrical EngineeringISBN:9780133923605Author:Robert L. BoylestadPublisher:PEARSONDelmar's Standard Textbook Of ElectricityElectrical EngineeringISBN:9781337900348Author:Stephen L. HermanPublisher:Cengage LearningProgrammable Logic ControllersElectrical EngineeringISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill Education
- Fundamentals of Electric CircuitsElectrical EngineeringISBN:9780078028229Author:Charles K Alexander, Matthew SadikuPublisher:McGraw-Hill EducationElectric Circuits. (11th Edition)Electrical EngineeringISBN:9780134746968Author:James W. Nilsson, Susan RiedelPublisher:PEARSONEngineering ElectromagneticsElectrical EngineeringISBN:9780078028151Author:Hayt, William H. (william Hart), Jr, BUCK, John A.Publisher:Mcgraw-hill Education,