1 $Which component of the response of a network usually decays to zero as time approaches infinity?$

A.

Steady state response

B.

Transient response

C.

Sinusoidal response

D.

Forced response

2 $The time constant of a series circuit is given by:$

A.

B.

C.

D.

3 $In a series circuit connected to a DC voltage source, what is the voltage across the capacitor at (steady state)?$

A.

B.

C.

D.

Infinite

4 $At time, an uncharged inductor acts as a/an:$

A.

Short circuit

B.

Open circuit

C.

Voltage source

D.

Current source

5 $The transient response of an RLC circuit is oscillatory when the circuit is:$

A.

Overdamped

B.

Critically damped

C.

Underdamped

D.

Undamped

6 $The Laplace transform of the unit step function is:$

A.

$1$

B.

C.

D.

7 $Which of the following represents the definition of the Laplace Transform of a function ?$

A.

B.

C.

D.

8 $The Laplace transform of is:$

A.

B.

C.

D.

9 $What is the condition for critical damping in a series RLC circuit?$

A.

B.

C.

D.

10 $The Laplace transform of is:$

A.

B.

C.

D.

11 $If, then is:$

A.

B.

C.

D.

12 $The Final Value Theorem states that is equal to:$

A.

B.

C.

D.

13 $The Laplace transform of the impulse function is:$

A.

$0$

B.

$1$

C.

D.

14 $In the s-domain, the impedance of an inductor with inductance is represented as:$

A.

B.

C.

D.

15 $The time constant of a series circuit is:$

A.

B.

C.

D.

16 $If a capacitor has an initial voltage, its s-domain equivalent model is:$

A.

Capacitor in parallel with a current source

B.

Capacitor in series with a voltage source

C.

Capacitor in series with a voltage source

D.

Both A and B are correct

17 $The Laplace transform of (where is a positive integer) is:$

A.

B.

C.

D.

18 $The Laplace transform of the derivative of a function,, is:$

A.

B.

C.

D.

19 $In a series RLC circuit, if, the response is:$

A.

Overdamped

B.

Underdamped

C.

Critically damped

D.

Oscillatory

20 $Which theorem allows finding the inverse Laplace transform of the product of two functions ?$

A.

Initial Value Theorem

B.

Final Value Theorem

C.

Convolution Theorem

D.

Shift Theorem

21 $The Laplace transform of is:$

A.

B.

C.

D.

22 $Calculate the Inverse Laplace Transform of .$

A.

B.

C.

D.

23 $For a periodic function with period, the Laplace transform is given by:$

A.

B.

C.

D.

24 $If, then is:$

A.

B.

C.

D.

25 $The time required for the response to reach 63.2% of its final value in a first-order circuit is called:$

A.

Rise time

B.

Settling time

C.

Time constant

D.

Delay time

26 $The Laplace transform of the integral of a function,, is:$

A.

B.

C.

D.

27 $In the partial fraction expansion of , the roots of are called:$

A.

Zeros

B.

Poles

C.

Residues

D.

Factors

28 $What is the steady-state current in a series RL circuit with and a 100V DC source?$

A.

0 A

B.

10 A

C.

100 A

D.

Depends on L

29 $The Initial Value Theorem is valid only if:$

A.

is a strictly proper fraction (degree of numerator < degree of denominator)

B.

The poles of are in the right half-plane

C.

is discontinuous at

D.

has a pole at the origin

30 $Which method is commonly used to find the Inverse Laplace Transform of rational functions?$

A.

Convolution integral

B.

Partial Fraction Expansion

C.

Differentiation

D.

Integration

31 $The Laplace transform of is:$

A.

B.

C.

D.

32 $An inductor with initial current is transformed into the s-domain as:$

A.

Inductor only

B.

Inductor in series with voltage source

C.

Inductor in parallel with voltage source

D.

Inductor in series with current source

33 $What is the natural frequency of a series RLC circuit?$

A.

B.

C.

D.

34 $The inverse Laplace transform of is:$

A.

B.

C.

D.

35 $If a system has a pole at, the natural response will contain a term:$

A.

B.

C.

D.

36 $The convolution of two functions and in the time domain corresponds to what operation in the Laplace domain?$

A.

Addition

B.

Subtraction

C.

Multiplication

D.

Division

37 $The Laplace transform of is:$

A.

B.

C.

D.

38 $In a series RC circuit, the voltage across the resistor decays:$

A.

Linearly

B.

Exponentially

C.

Sinusoidally

D.

It remains constant

39 $Find the initial value of using the Initial Value Theorem.$

A.

B.

3

C.

2

D.

Infinite

40 $The Laplace transform is used to convert:$

A.

Algebraic equations to differential equations

B.

Differential equations to algebraic equations

C.

Integro-differential equations to partial differential equations

D.

Frequency domain to time domain

41 $For the function, the Laplace transform is:$

A.

B.

C.

D.

42 $In an RLC circuit, the damping ratio is defined as:$

A.

B.

C.

D.

43 $The Laplace transform of a constant is:$

A.

B.

C.

D.

44 $If, the inverse transform involves:$

A.

Exponential decay only

B.

Pure sine wave

C.

Damped sine wave ()

D.

Step function

45 $The impedance of a capacitor in the s-domain is :$

A.

B.

C.

D.

46 $A unit step voltage is applied to a series RL circuit. The current expression is of the form:$

A.

B.

C.

D.

47 $Which property allows us to calculate easily?$

A.

Time Scaling

B.

Frequency Shifting

C.

Time Shifting

D.

Differentiation

48 $The inverse Laplace transform of is:$

A.

B.

C.

D.

49 $For a circuit to be in 'steady state', the value of time theoretically approaches:$

A.

B.

The time constant

C.

5

D.

Infinity

50 $When applying Laplace transforms to circuit analysis, Kirchhoff's laws (KVL and KCL):$

A.

Are no longer valid

B.

Apply only to resistors

C.

Apply in the s-domain exactly as in the t-domain

D.

Must be modified with integral terms

Unit 3 - Practice Quiz