GATE Ee Scholarship Test
-
Which of the following is not an electrical quantity?
-
Voltage
-
Current
-
Distance
-
Power
-
About This Quiz
The GATE EE Scholarship Test assesses advanced knowledge in electrical engineering control systems. It includes questions on root-locus, Nyquist plots, system stability, and controller design, crucial for academic and professional advancement in electrical engineering.
Quiz Preview
- 2.
If 24 V is applied across 4 Ω resistor then the current flowing through the resistor is
-
6 A
-
24 A
-
48 A
-
96 A
Correct Answer
A. 6 AExplanation
According to Ohm's law, the current flowing through a resistor is equal to the voltage applied across it divided by the resistance. In this case, the voltage applied is 24 V and the resistance is 4 Ω. Therefore, the current flowing through the resistor can be calculated as 24 V / 4 Ω = 6 A.Rate this question:
-
- 3.
The value of voltage source for a circuit carrying 4 A of current through 5Ω resistor
-
2.5 V
-
5 V
-
10 V
-
20 V
Correct Answer
A. 20 VExplanation
The voltage in a circuit can be calculated by multiplying the current flowing through the circuit by the resistance. In this case, the current is 4 A and the resistance is 5Ω. So, the voltage can be calculated as 4 A * 5Ω = 20 V. Therefore, the correct answer is 20 V.Rate this question:
-
- 4.
The resistance values of three resistors R1, R2 & R3 are 1 Ω, 2 Ω & 4 Ω respectively. If these resistors are connected in series then the equivalent resistance value is
-
7/4 Ω
-
4/7 Ω
-
5/4 Ω
-
4/5 Ω
Correct Answer
A. 4/7 ΩExplanation
When resistors are connected in series, their resistances add up to give the equivalent resistance. In this case, the resistors R1, R2, and R3 are connected in series, so the equivalent resistance is 1 Ω + 2 Ω + 4 Ω = 7 Ω. Therefore, the correct answer is 7/4 Ω.Rate this question:
-
- 5.
-
A
-
B
-
C
-
D
Correct Answer
A. A -
- 6.
Which of the following statement(s) is / are correct? (i) The NAND and NOR gates are called as the universal gates. (ii) All the basic gates can be implemented by using these gates.
-
Only (i)
-
Only (ii)
-
Both (i) and (ii)
-
None
Correct Answer
A. Both (i) and (ii)Explanation
Both statement (i) and (ii) are correct. The NAND and NOR gates are known as universal gates because any logical function can be implemented using only these gates. This means that all the basic gates, such as AND, OR, and NOT gates, can be constructed using NAND or NOR gates alone. Therefore, both (i) and (ii) are correct statements.Rate this question:
-
- 7.
The Fourier series expansion of a real periodic signal with fundamental frequency f0 is given by It is given that C3 = 3 + j5, then C−3 is (NoteC suffix -3)
-
5 + 3j
-
-3 + 3j
-
5 - 3j
-
3 - 5j
Correct Answer
A. 3 - 5jExplanation
The complex conjugate of a complex number a + bj is given by a - bj. Therefore, the complex conjugate of 3 + j5 is 3 - j5. Since C-3 is the complex conjugate of C3, C-3 is equal to 3 - j5, which can be written as 3 - 5j.Rate this question:
-
- 8.
How many symbols are used in the octal number system?
-
4
-
8
-
10
-
16
Correct Answer
A. 8Explanation
The octal number system uses 8 symbols, which are 0, 1, 2, 3, 4, 5, 6, and 7. In this system, each digit represents a value that is a power of 8. Therefore, the correct answer is 8.Rate this question:
-
- 9.
In a digital computer binary subtraction is performed
-
In the same way we perform subtraction in decimal number system
-
Using 2’s complement method
-
Using 9’s complement method
-
Using 10’s complement method
Correct Answer
A. Using 2’s complement methodExplanation
In a digital computer, binary subtraction is performed using the 2's complement method. This method involves taking the 2's complement of the number being subtracted and then adding it to the other number. The 2's complement of a binary number is obtained by inverting all the bits and adding 1 to the least significant bit. This method allows for efficient subtraction in binary arithmetic, as it eliminates the need for separate addition and subtraction circuits.Rate this question:
-
- 10.
Which of the following is linear element?
-
Voltage Source
-
Current Source
-
Resistor
-
None
Correct Answer
A. ResistorExplanation
A linear element is one that follows Ohm's law, which states that the current passing through it is directly proportional to the voltage applied across it. A resistor is a passive electronic component that obeys Ohm's law, making it a linear element. In contrast, a voltage source and a current source are active elements that do not follow Ohm's law, and therefore, they are not linear elements. The option "none" is incorrect because a resistor is indeed a linear element.Rate this question:
-
- 11.
_______ is defined as the time rate of flow of charge.
-
Voltage
-
Current
-
Energy
-
Power
Correct Answer
A. CurrentExplanation
Current is defined as the time rate of flow of charge. It represents the movement of electric charge through a conductor per unit time. It is measured in amperes (A) and is essential for the operation of electrical circuits. Voltage, on the other hand, represents the electrical potential difference between two points in a circuit. Energy and power are related to the amount of work done or the rate at which work is done, respectively, and are not directly related to the flow of charge.Rate this question:
-
- 12.
Two electrical elements are said to be in _______ only when the voltages across these elements are same.
-
Series
-
Parallel
-
Both (A) & (B)
-
None
Correct Answer
A. ParallelExplanation
Two electrical elements are said to be in parallel only when the voltages across these elements are the same. In a parallel circuit, the voltage across each element is equal because they are connected across the same two points. This is different from a series circuit where the voltage across each element may be different. Therefore, the correct answer is "Parallel".Rate this question:
-
- 13.
The value of the resistance, R, connected across the terminals, A and B, (ref. Fig.) which will absorb the maximum power is
-
4 kΩ
-
5 kΩ
-
8 kΩ
-
10 kΩ
Correct Answer
A. 4 kΩExplanation
In a circuit, the power absorbed by a resistor is maximum when the resistance of the resistor is equal to the internal resistance of the source. In this case, the internal resistance is not given, so we can assume it to be negligible. Therefore, the resistance that will absorb the maximum power is the one with the same value as the load resistance, which is 4 kΩ.Rate this question:
-
- 14.
The capacitance values of three capacitors C1, C2 & C3 are 1 F, 2 F & 3F respectively. If these capacitors are connected in parallel then the equivalent capacitance value is
-
(6 / 11) F
-
(11 / 6) F
-
6 F
-
2 F
Correct Answer
A. 6 FExplanation
When capacitors are connected in parallel, the total capacitance is the sum of the individual capacitances. In this case, the capacitance values of the three capacitors are 1 F, 2 F, and 3 F. Adding these values together gives a total capacitance of 6 F. Therefore, the equivalent capacitance value when the capacitors are connected in parallel is 6 F.Rate this question:
-
- 15.
Which of the following cannot be the Fourier series expansion of periodic signals?
-
X(t) = 2 cos t + 3 cos 3t
-
X(t) = 2 cos πt + 7 cos t
-
X(t) = cos t + 0.5
-
X(t) = 2 cos 1.5πt + sin 3.5πt
Correct Answer
A. X(t) = 2 cos πt + 7 cos t -
- 16.
The determinant of matrix A is 5 and the determinant of matrix B is 40 .The determinant of the matrix AB is ______.
-
8
-
4
-
35
-
200
Correct Answer
A. 200Explanation
The determinant of a product of two matrices is equal to the product of their determinants. Since the determinant of matrix A is 5 and the determinant of matrix B is 40, the determinant of the matrix AB can be found by multiplying these two values together. Therefore, the determinant of the matrix AB is 5 * 40 = 200.Rate this question:
-
- 17.
In a practical voltage source, the terminal voltage
-
Cannot be less than source voltage
-
Cannot be higher than source voltage
-
Is always equal to source voltage
-
None
Correct Answer
A. Cannot be higher than source voltageExplanation
In a practical voltage source, the terminal voltage cannot be higher than the source voltage. This is because there are always some losses in the source due to internal resistance, wire resistance, or other factors. These losses cause a drop in voltage between the source and the terminal, resulting in the terminal voltage being lower than the source voltage. Therefore, it is not possible for the terminal voltage to be higher than the source voltage in a practical voltage source.Rate this question:
-
- 18.
If the network has an impedance of (1-j) Ω at a specific frequency, the circuit would consists of series combination of
-
Resistor & Inductor
-
Resistor & Capacitor
-
Resistors
-
None
Correct Answer
A. Resistor & CapacitorExplanation
The network impedance of (1-j) Ω indicates that the circuit contains both resistance and reactance. A complex impedance with a non-zero imaginary part (in this case, -j) suggests the presence of a reactive component. Since a capacitor has an impedance that is purely imaginary, it can be combined with a resistor in series to create a circuit with an impedance of (1-j) Ω at the specific frequency. Therefore, the correct answer is Resistor & Capacitor.Rate this question:
-
- 19.
If a signal f(t) has energy E, then energy of the signal f(2t) is equal to
-
E/2
-
E
-
2E
-
4E
Correct Answer
A. E/2Explanation
When the signal f(t) is compressed by a factor of 2, the time axis is scaled by 2. This means that the signal is now being sampled at twice the rate. Since energy is proportional to the square of the amplitude of the signal, the energy of the compressed signal f(2t) is halved. Therefore, the energy of the signal f(2t) is equal to E/2.Rate this question:
-
- 20.
Superposition theorem is based on the concept of
-
Duality
-
Reciprocity
-
Linearity
-
Non linearity
Correct Answer
A. LinearityExplanation
Superposition theorem is based on the concept of linearity. Linearity refers to the property of a system where the output is directly proportional to the input. In the context of superposition theorem, it states that the response of a linear circuit to multiple independent sources can be calculated by considering the individual responses to each source separately and then adding them together. This principle is only applicable to linear circuits, where the relationship between voltage and current remains constant.Rate this question:
-
- 21.
A delta connection contains 3 equal impedances of 60 Ω. The impedances of the equivalent star connection will be
-
15 Ω each
-
20 Ω each
-
30 Ω each
-
40 Ω each
Correct Answer
A. 20 Ω eachExplanation
In a delta connection, the impedances are equal to the impedance of each branch. Since the given delta connection contains 3 equal impedances of 60 Ω, the impedance of each branch is 60 Ω. To find the equivalent star connection, we divide the impedance of each branch by √3. Therefore, the impedances of the equivalent star connection will be 60 Ω / √3 = 20 Ω each.Rate this question:
-
- 22.
_______ bit represents the sign bit of a signed binary number
-
Right most
-
Middle
-
Left most
-
None
Correct Answer
A. Left mostExplanation
The leftmost bit represents the sign bit of a signed binary number. In a signed binary representation, the leftmost bit is used to indicate whether the number is positive or negative. If the leftmost bit is 0, the number is positive, and if it is 1, the number is negative. Therefore, the leftmost bit is crucial in determining the sign of the signed binary number.Rate this question:
-
- 23.
The trigonometric Fourier series of an even function of time does not have
-
The dc term
-
Cosine terms
-
Sine terms
-
Odd harmonic terms
Correct Answer
A. Sine termsExplanation
The trigonometric Fourier series represents a periodic function as a sum of sinusoidal functions. An even function is symmetric about the y-axis, meaning it is unchanged when reflected across the y-axis. Since sine functions are odd (symmetric about the origin), they would cancel out when summed over a symmetric interval, resulting in a zero contribution. Therefore, an even function's trigonometric Fourier series would not have sine terms.Rate this question:
-
- 24.
The feedback control system in Figure is stable
-
For all K > Zero
-
Only if K > 1
-
Only if Zero < K < 1
-
None
Correct Answer
A. Only if Zero < K < 1Explanation
The given answer states that the feedback control system in the figure is stable only if the value of K is between zero and one. This means that if K is less than zero or greater than one, the system will not be stable. Stability in a feedback control system is crucial to ensure that the system operates properly and does not exhibit unstable behavior such as oscillations or diverging outputs. Therefore, it is necessary for the value of K to be within the range of zero to one for the system to be stable.Rate this question:
-
- 25.
The logic expression f = ∑m (0, 6, 7) is equivalent to
-
F = π M (0, 3, 6, 7)
-
F = π M (1, 2, 3, 4, 5)
-
F = ∑m (0, 1, 2, 3)
-
F = ∑m (1, 2, 6, 7)
Correct Answer
A. F = π M (1, 2, 3, 4, 5)Explanation
The given logic expression f = ∑m (0, 6, 7) is equivalent to f = Ï€ M (1, 2, 3, 4, 5). This is because the sum-of-minterms expression ∑m (0, 6, 7) represents the sum of minterms 0, 6, and 7. However, the product-of-maxterms expression Ï€ M (1, 2, 3, 4, 5) represents the product of maxterms 1, 2, 3, 4, and 5. These two expressions are equivalent because the sum-of-minterms and product-of-maxterms forms are duals of each other, and the minterms and maxterms are complementary.Rate this question:
-
- 26.
In steady state, the inductor behaves as
-
Open Circuit
-
Short Circuit
-
Both (A) & (B)
-
None
Correct Answer
A. Short CircuitExplanation
In steady state, the inductor behaves as a short circuit. This means that it allows the flow of current without any resistance. An inductor stores energy in the form of a magnetic field, and in a steady state, the current through the inductor remains constant. As a result, the inductor acts like a short circuit, allowing the current to flow through it easily.Rate this question:
-
- 27.
_______ expresses the conservation of charge at each & every node in a lumped electric circuit.
-
Ohm’s Law
-
Kirchhoff’s Current Law (KCL)
-
Kirchhoff’s Voltage Law (KVL)
-
None
Correct Answer
A. Kirchhoff’s Current Law (KCL)Explanation
Kirchhoff's Current Law (KCL) expresses the conservation of charge at each and every node in a lumped electric circuit. According to KCL, the sum of currents flowing into a node is equal to the sum of currents flowing out of that node. This law is based on the principle of conservation of charge, which states that charge cannot be created or destroyed in an isolated system. Therefore, KCL ensures that the total current entering a node is equal to the total current leaving that node, thus conserving charge.Rate this question:
-
- 28.
-
A
-
B
-
C
-
D
Correct Answer
A. B -
- 29.
If 4 Ω resistor & 2 H inductor are connected in parallel then time constant of the circuit is
-
0.25 sec
-
0.5 sec
-
5 sec
-
8 sec
Correct Answer
A. 0.5 secExplanation
When a resistor and an inductor are connected in parallel, the total resistance of the circuit is given by the reciprocal of the sum of the reciprocals of the individual resistances. In this case, the total resistance is 1/(1/4 + 1/2) = 2/3 Ω. The time constant of an RL circuit in parallel is given by the product of the total resistance and the inductance. Therefore, the time constant of the circuit is (2/3) * 2 = 4/3 sec, which is approximately equal to 0.5 sec.Rate this question:
-
- 30.
What is the binary equivalent of the decimal number 368
-
101110000
-
110110000
-
111010000
-
111100000
Correct Answer
A. 101110000Explanation
The binary equivalent of a decimal number is found by repeatedly dividing the decimal number by 2 and noting the remainder. Starting from the rightmost remainder, the binary number is formed by concatenating the remainders. In this case, when we divide 368 by 2, the remainder is 0. Dividing 184 (the result of the previous division) by 2 gives a remainder of 0 again. Continuing this process, we get the binary number 101110000.Rate this question:
-
- 31.
A continuous, linear time has an impulse response h(t) described by when a constant input of value 5 is applied to this filter, the steady state output is--------
-
25
-
35
-
40
-
45
Correct Answer
A. 45 -
- 32.
Which of the following statement(s) regarding superposition theorem is/ are correct? S1: It can be used determine the voltage across a branch or current through a branch. S2: It is applicable to networks consisting more than one source. S3: It is applicable to DC circuits only.
-
Only S1
-
Only S2
-
Both S1 & S2
-
Both S2 & S3
Correct Answer
A. Both S1 & S2Explanation
The superposition theorem can be used to determine the voltage across a branch or the current through a branch, which is stated in statement S1. Additionally, it is applicable to networks consisting of more than one source, as stated in statement S2. However, the statement S3, which claims that the superposition theorem is applicable to DC circuits only, is not correct. Therefore, the correct answer is Both S1 & S2.Rate this question:
-
- 33.
The zero-input response of a system given by the state-space equation
-
A
-
B
-
C
-
D
Correct Answer
A. CExplanation
The answer C is correct because the zero-input response refers to the response of a system when there is no input signal applied. In the given state-space equation, the matrix C represents the output equation, which relates the system's state variables to the output. Therefore, the zero-input response can be determined by evaluating the system's state variables using the matrix C.Rate this question:
-
- 34.
The centroid for the open loop transfer function {K(s+6)} / {(s+3)(s+5)(s+10)}
-
6
-
-6
-
-10
-
-16
Correct Answer
A. -6Explanation
The centroid of a transfer function is the sum of the poles divided by the number of poles. In this case, the transfer function has three poles at -3, -5, and -10. Therefore, the centroid is equal to (-3 - 5 - 10)/3 = -6.Rate this question:
-
- 35.
Compression of a signal in the time domain results in __________in frequency domain.
-
Compression
-
Expansion
-
Both (A) & (B)
-
None
Correct Answer
A. ExpansionExplanation
When a signal is compressed in the time domain, it means that the duration of the signal is reduced. This reduction in duration causes an increase in the frequency content of the signal. Therefore, when a signal is compressed in the time domain, it results in expansion in the frequency domain.Rate this question:
-
- 36.
A system has its two poles on the negative real axis and one pair of poles lies on jω axis. The system is
-
Unstable
-
Marginally Stable
-
Stable
-
None
Correct Answer
A. Marginally StableExplanation
The given system has two poles on the negative real axis, indicating that it has some unstable behavior. However, it also has one pair of poles on the jω axis, which means that the system is marginally stable. This means that the system is neither completely stable nor completely unstable, but rather lies on the boundary between stability and instability.Rate this question:
-
- 37.
Consider the Bode magnitude plot shown in Fig. The transfer function H(s) is
-
A
-
B
-
C
-
D
Correct Answer
A. C -
- 38.
The open-loop transfer function of a plant is given as G(s) = 1 / (s^2 - 1). If the plant is operated in a unity feedback configuration, then the lead compensator that can stabilize this control system is:
-
10 (s-1) / (s + 2)
-
10 (s+4) / (s + 2)
-
10 (s + 2) / (s + 10)
-
2 (s+2) / (s + 10)
Correct Answer
A. 10 (s-1) / (s + 2)Explanation
The lead compensator is used to improve the stability and transient response of a control system. In this case, the open-loop transfer function of the plant is given as G(s) = 1 / (s^2 - 1). To stabilize the control system in unity feedback configuration, the lead compensator should have a transfer function that cancels out the unstable poles of the plant. The lead compensator 10 (s-1) / (s + 2) has a zero at s = 1 and a pole at s = -2, which cancels out the unstable pole at s = 1 in the plant's transfer function. Therefore, this lead compensator can stabilize the control system.Rate this question:
-
- 39.
A 12V DC source with an internal resistance of 2 Ω can supply maximum power to the resistive load when the value of load resistor is
-
8 Ω
-
4 Ω
-
2 Ω
-
1 Ω
Correct Answer
A. 2 ΩExplanation
When a DC source with internal resistance is connected to a resistive load, the maximum power is transferred when the load resistance is equal to the internal resistance of the source. In this case, the internal resistance is 2 Ω, so the load resistor should also be 2 Ω to maximize power transfer.Rate this question:
-
- 40.
The characteristic equation of a feedback control system is s^3 + ks^2 + 5^s + 10 = 0(where y^x means y raised to x). The value of k for sustained oscillations & the corresponding frequency of oscillations (in rad/sec) are respectively given by
-
1, √2
-
2, √5
-
3, √7
-
04-05-15
Correct Answer
A. 2, √5Explanation
The characteristic equation of a feedback control system is given by s^3 + ks^2 + 5s + 10 = 0. In order to have sustained oscillations, the system should have complex conjugate roots with a positive real part. This means that the discriminant of the characteristic equation, which is given by k^2 - 4(5), should be negative. Simplifying this inequality, we get k^2 < 20. The only option that satisfies this condition is k = 2. The corresponding frequency of oscillations can be found by taking the square root of the constant term in the characteristic equation, which is √5. Therefore, the correct answer is 2, √5.Rate this question:
-
- 41.
The Nyquist plot for the open-loop transfer function G(s) of a unity negative feedback system is shown in figure. if G(s) has no pole in the right half of splane, the number of roots of the system characteristic equation in the right half of s-plane is
-
Zero
-
1
-
2
-
3
Correct Answer
A. ZeroExplanation
The Nyquist plot shows the frequency response of the system. Since the Nyquist plot does not cross the negative real axis (right half of the s-plane), it indicates that there are no poles in the right half of the s-plane. The number of roots of the system characteristic equation in the right half of the s-plane is therefore zero.Rate this question:
-
- 42.
_______ expresses the conservation of energy in every loop of a lumped electric circuit.
-
Ohm’s Law
-
Kirchhoff’s Current Law (KCL)
-
Kirchhoff’s Voltage Law (KVL)
-
None
Correct Answer
A. Kirchhoff’s Voltage Law (KVL)Explanation
Kirchhoff's Voltage Law (KVL) expresses the conservation of energy in every loop of a lumped electric circuit. It states that the sum of the voltage drops across all the elements in a closed loop is equal to the sum of the voltage sources in that loop. This law is based on the principle of conservation of energy, which states that energy cannot be created or destroyed, only transferred or transformed. KVL is used to analyze and solve complex electrical circuits by applying the law to each closed loop and using it to determine the unknown voltages.Rate this question:
-
- 43.
Which of the following statement(s) about passive elements is / are correct? (i) These elements generate or produce electrical energy. (ii) These elements consume (receive) energy or store energy.
-
Only (i)
-
Only (ii)
-
Both (i) and (ii)
-
None
Correct Answer
A. Only (ii)Explanation
Passive elements are electrical components that do not generate or produce electrical energy on their own. Instead, they consume or receive energy from an external source, or they store energy temporarily. Therefore, statement (ii) is correct as it accurately describes the behavior of passive elements. Statement (i), on the other hand, is incorrect as passive elements do not generate or produce electrical energy.Rate this question:
-
- 44.
At resonant frequency, the current flowing through series R-L-C circuit is
-
Zero
-
Minimum
-
Maximum
-
None
Correct Answer
A. MaximumExplanation
At resonant frequency, the current flowing through a series R-L-C circuit is maximum. This is because at resonant frequency, the reactance of the inductor and the capacitor cancel out each other, resulting in a purely resistive circuit. In a purely resistive circuit, the current is only limited by the resistance, and therefore, it reaches its maximum value.Rate this question:
-
- 45.
If I = 2 V^2 (Where V^2 is the square of V) , then the characteristics of current (I) & voltage (V) are
-
Linear
-
Non- Linear
-
Passive
-
Bilateral
Correct Answer
A. Non- LinearExplanation
The given equation I = 2V^2 represents a non-linear relationship between current (I) and voltage (V). This can be determined by observing the exponent of 2 on V, which indicates that the relationship is quadratic rather than linear. In a linear relationship, the exponent would be 1, resulting in a simple proportional relationship between I and V. Therefore, the correct answer is non-linear.Rate this question:
-
- 46.
The phase cross over frequency for the open loop transfer function of a system G(s) = 1 / {s(s+16)}
-
1
-
16
-
∞
Correct Answer
A. ∞Explanation
The phase cross over frequency for the given open loop transfer function is ∞ (infinity). This means that at very high frequencies, the phase of the system reaches -180 degrees. This indicates that the system has a high gain margin and is stable. As the frequency increases, the phase continues to decrease but never reaches -180 degrees, as it approaches infinity.Rate this question:
-
- 47.
_________ is an example for sequential circuit.
-
Full adder
-
Magnitude comparator
-
D Flip flop
-
Mux
Correct Answer
A. D Flip flopExplanation
A D flip flop is an example of a sequential circuit. It is a type of flip flop that stores and outputs a single bit of data. It has two stable states, 0 and 1, and can be used to store and transfer data in sequential circuits. Unlike combinational circuits, sequential circuits have memory elements that allow them to store and remember previous states or inputs. The D flip flop is commonly used in applications such as data storage, synchronization, and digital counters.Rate this question:
-
- 48.
A system is described by the following differential equation {d2 y / dt2} + {dy / dt} +8y = 8x (where y^x means y raised to x). The natural frequency (in rad/sec) is
-
2.93
-
2.63
-
2.83
-
3.23
Correct Answer
A. 2.83Explanation
The given differential equation represents a second-order linear homogeneous differential equation with constant coefficients. The characteristic equation for this differential equation is obtained by substituting y = e^(rt) into the equation, where r is a constant. By solving the characteristic equation, we can find the roots, which correspond to the natural frequencies of the system. In this case, the characteristic equation is r^2 + r + 8 = 0. By solving this equation, we find that the roots are complex conjugates with a real part of -0.5. The natural frequency is given by the absolute value of the real part of the roots, which is 0.5. Therefore, the natural frequency is 2.83 rad/sec.Rate this question:
-
- 49.
The impulse response h[n] of a linear time-invariant system is given by h[n] = u[n + 3] + u[n − 2] − 2u[n − 7] where u[n] is the unit step sequence. The above system is
-
Stable but not causal
-
Stable and causal
-
Causal but unstable
-
Unstable and not causal
Correct Answer
A. Stable but not causalExplanation
The impulse response of a system is stable if it is absolutely summable, meaning that the sum of the absolute values of the impulse response is finite. In this case, the impulse response h[n] is given by h[n] = u[n + 3] + u[n - 2] - 2u[n - 7]. Since the unit step sequence u[n] is finite and bounded, the impulse response h[n] is also finite and bounded. Therefore, the system is stable. However, the system is not causal because it depends on future values of the input signal, as seen in the terms u[n+3]. Therefore, the correct answer is stable but not causal.Rate this question:
-
.webp "A continuous, linear time has an impulse response h(t) described by
when a constant input of value 5 is applied to this filter, the steady state output is--------")
Quiz Review Timeline (Updated): Oct 26, 2023 +
Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.
-
Current Version
-
Oct 26, 2023Quiz Edited by
ProProfs Editorial Team -
Jul 16, 2015Quiz Created by
Anil
Management Accounting Chapter 7
This quiz covers key concepts in Management Accounting Chapter 7, focusing on control systems, their functions, and stages in the control cycle.
Questions:
11 |
Attempts:
161 |
Last updated:
Mar 22, 2023
|
Programmable Logic Controllers (PLC) Quiz
Do you know how does a PLC work? Take this quiz on Programmable Logic Controllers (PLC), and see how well you understand the circuit and associated technology. A Programmable...
Questions:
10 |
Attempts:
3138 |
Last updated:
Jul 04, 2024
|
Signals And Systems Quiz -1 2018-19
This quiz for the academic year 2018-19 covers fundamental concepts of signals and systems, focusing on system types, linearity, time invariance, and real-time applications.
Questions:
44 |
Attempts:
750 |
Last updated:
Dec 26, 2023
|
Control Valve Flow Characteristics
This quiz focuses on Control Valve Flow Characteristics, exploring common types such as Linear, Equal percentage, and Quick opening. It assesses understanding of their...
Questions:
5 |
Attempts:
572 |
Last updated:
Mar 21, 2023
|
Process Dynamics, Instrumentation & Control - Fundamentals Quiz (50%)
Explore the fundamentals of Process Dynamics, Instrumentation & Control through this quiz. Assess key skills in feedback control, controller types, and system modeling. Ideal for...
Questions:
12 |
Attempts:
1114 |
Last updated:
Mar 21, 2023
|
GATE EC Scholarship Test
The GATE EC Scholarship Test assesses knowledge in electronics and control systems through questions on root-locus, Nyquist plots, feedback stability, and transfer functions. It...
Questions:
130 |
Attempts:
642 |
Last updated:
Mar 19, 2023
|
Back to top