Question

Download Solution PDF

What is the output voltage v0 (t) of the circuit shown in the figure?

This question was previously asked in
UPSC ESE Electronics & Communication 2022 Official Paper
Download PDF Attempt in App
View all UPSC IES Papers >
  1. v0 (t) = 20[e-t - e-2t]u(t) V
  2. v0 (t) = 40[e-t - e-2t]u(t) V
  3. v0 (t) = 40[e-t - e-4t]u(t) V
  4. v0 (t) = 20[e-t - e-4t]u(t) V

Answer (Detailed Solution Below)

Option 3 : v0 (t) = 40[e-t - e-4t]u(t) V
Free Tests
View all Free tests >
Free
ST 1: UPSC ESE (IES) Civil - Building Materials
20 Qs. 40 Marks 24 Mins
Start Now

Detailed Solution

Download Solution PDF

 

is(t) = 3e̅t. u(t) mA

is(t) = iR + iC.

Applying Laplace,

 R = 10 k, C = 25μ f

SA + 4A + BS + B = 1

S (A + B) + 4A + B = 1

A + B = 0, A = - B

4A + B = 1, 3A = 1, 

on Applying Inverse Laplace

vo(t) = 40 [e̅ t. u(t) - e̅ut u(t)]

Download Solution PDF
Latest UPSC IES Updates

Last updated on Jul 2, 2025

-> ESE Mains 2025 exam date has been released. As per the schedule, UPSC IES Mains exam 2025 will be conducted on August 10. 

-> UPSC ESE result 2025 has been released. Candidates can download the ESE prelims result PDF from here.

->  UPSC ESE admit card 2025 for the prelims exam has been released. 

-> The UPSC IES Prelims 2025 will be held on 8th June 2025.

-> The selection process includes a Prelims and a Mains Examination, followed by a Personality Test/Interview.

-> Candidates should attempt the UPSC IES mock tests to increase their efficiency. The UPSC IES previous year papers can be downloaded here.

Exams Tests Super Practice

More Transient Analysis in S-Domain Questions

Q1.If laplace transform of voltage across capacitor of value 0.5 F is \(\rm V_c(s)=\frac{1}{s^2+1}\), the value of current through capacitor at t = 0+ will be: 
Q2.What is the value of v0(t) for the circuit shown in the figure, assuming zero initial conditions?
Q3.An R-L-C series circuit has R = 4 Ω, L = 2 H and C = 2 F. What type of transient current response is offered by the circuit for step function voltage input? 
Q4.Which one of the following techniques can be used to analyze and design the effect of loop gain upon the system's transient response and stability?
Q5.What is the output voltage v0 (t) of the circuit shown in the figure?
Q6.In the figure, the switch is thrown from position 1 to 2 at time t = 0. Just before the switch is thrown, the initial conditions are iL (0-) = 2 A, vc (0-) = 2 V. What is the current i(t) after switching action?
Q7.A coil has a resistance of 10 Ω and an inductance of 1 H, what will be the value of current 0.1 second after switching on to a 50 volts d.c. supply?
Q8.In the circuit shown below, the initial charge on the capacitor is 2.5 mC, with the voltage polarity as indicated. The switch is closed at time t = 0. The current i(t) at a time t after the switch is closed is 
Q9.In the circuit shown, the switch S is open for a long time and is closed at t = 0. The current i(t) for t ≥ 0 is 
Q10.In the s-domain circuit analysis, the circuit natural response is contributed by

More Transient Analysis Questions

Q1.If laplace transform of voltage across capacitor of value 0.5 F is \(\rm V_c(s)=\frac{1}{s^2+1}\), the value of current through capacitor at t = 0+ will be: 
Q2.In the circuit shown switch is closed at t = 0. The time constant of the circuit is :
Q3.In a R-L-C series circuit when the supply frequency is more than resonating frequency, then:
Q4.Which of the following source is applied initially for charging a capacitor?
Q5.When an RC network is compared with respect to RL network, then
Q6.An R-L series circuit, where R = 10 Ω and L = 0.056 H, is connected to an AC supply of frequency 50 Hz. The magnitude of impedance of the circuit is:
Q7.A series R-L-C circuit having R = 5 Ω, L = 400 H and C = 4F is fed from a 400 ∠0° volt supply. Then the voltage across the capacitor at resonance will be _______.
Q8.A voltage source of V(t) = (10t3 - 5t + 10) Volt is applied across a 10F capacitor, the current through the capacitor at t = 2 sec is ________.
Q9.For the network shown in the figure, the switch is moved from a to b at t = 0-. What is the value of voltage v(t)?
Q10.What is the value of v0(t) for the circuit shown in the figure, assuming zero initial conditions?
Suggested Test Series
View All >
UPSC ESE (IES) Civil Mock Test Series
116 Total Tests with 1 Free Tests
Start Free Test
UPSC ESE (IES) Electrical Mock Test Series
68 Total Tests with   1 Free Tests
Start Free Test

More Network Theory Questions

Q1.Which of the following factors is primarily used to determine the rating of a resistor?
Q2.In an electrical circuit, there are two resistors (R1 = 5 Ω and R2 = 10 Ω) connected in series with a 15 V battery. What is the voltage drop across R2, according to Kirchhoff’s Voltage Law (KVL)?
Q3.In a three-phase system, the sum of the three phase voltage phasors in a balanced system is _____. 
Q4.If two AC waveforms have a phase difference of 0°, they are said to be _____. 
Q5.Current I(s) in RL circuit is given as \(\rm I(s)=\frac{1.5}{s+4}\) Obtain i(t) for t > 0
Q6.A parallel RLC circuit has an inductance of 1 H and a capacitance of 1 µF. What is the resonant frequency (f0 )? 
Q7.A sinusoidal voltage is given by v(t)=100 sin(ωt+30°). What is the corresponding phasor representation?
Q8.If the peak voltage of a full-wave rectifier is 20 V, what is the average output voltage?
Q9.If the frequency of an AC source connected to a pure capacitor is doubled, the capacitive reactance will ________.
Q10.Find the voltage Vs in the circuit by using Kirchoff's Voltage Law. 
Testbook Edu Solutions Pvt. Ltd.
1st & 2nd Floor, Zion Building,
Plot No. 273, Sector 10, Kharghar,
Navi Mumbai - 410210
support@testbook.com
Toll Free:1800 833 0800
Office Hours: 10 AM to 7 PM (all 7 days)
Company
About usCareers We are hiringTeach Online on TestbookPartnersMediaSitemap
Products
Test SeriesTestbook PassOnline CoursesOnline VideosPracticeBlogRefer & EarnBooks
Copyright © 2014-2022 Testbook Edu Solutions Pvt. Ltd.: All rights reserved
User PolicyTermsPrivacy
Hot Links： teen patti octro 3 patti rummy teen patti - 3patti cards game teen patti master list teen patti master purana