Given two continuous time signals which exist for t > 0,
the convolution z(t) = x(t)* y(t) is

**A. **

**B. **

**C. **

**D. **

**Answer : ****Option A**

**Explaination / Solution: **

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Two systems with impulse responses h_{1}(t) and h_{2}(t) are connected in cascade.
Then the overall impulse response of the cascaded system is given by

**A. **

**B. **

**C. **

**D. **

**Answer : ****Option C**

**Explaination / Solution: **

No Explaination.

No Explaination.

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A function y(t), such that y(0) = 1 and y(1) = 3e^{-1}, is a solution of the differential equation Then y(2) is

**A. ** 5e-1

**B. ** 5e-2

**C. ** 7e-1

**D. ** 7e-2

**Answer : ****Option B**

**Explaination / Solution: **

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Consider the system with following input-output relationwhere, x[n] is the input and y[n] is the output. The system is

**A. ** invertible and time invariant

**B. ** invertible and time varying

**C. ** non-invertible and time invariant

**D. ** non-invertible and time varying

**Answer : ****Option D**

**Explaination / Solution: **

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Given f(t) and g(t) as shown below:

**A. ** 1/s(e^{3s} – e^{5s})

**B. ** 1/s(e^{-5s} – e^{-3s})

**C. ** 1/s(e^{-3s} – e^{-2s})

**D. ** 1/s(e^{5s} – e^{3s})

**Answer : ****Option C**

**Explaination / Solution: **

No Explaination.

The Laplace transform of g(t) is

No Explaination.

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Consider a linear system whose state space representation is x(t) = Ax(t). If the initial state vector of the system is then the system response is If the itial state vector of the system changes to the system response becomes

The system matrix A is

No Explaination.

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The Fourier series of a real periodic function has only (P) cosine terms if it is even (Q) sine terms if it is even (R) cosine terms if it is odd (S) sine terms if it is odd Which of the above statements are correct ?

**A. ** P and S

**B. ** P and R

**C. ** Q and S

**D. ** Q and R

**Answer : ****Option A**

**Explaination / Solution: **

The Fourier series of a real periodic function has only cosine terms if it is even and sine terms if it is odd.

The Fourier series of a real periodic function has only cosine terms if it is even and sine terms if it is odd.

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Two systems with impulse responses h1(t) and h_{2}(t) are connected in cascade. Then the overall impulse response of the cascaded system is given by

If the two systems with impulse responseh1(t) and h2(t) are connected in cascaded configuration as shown in figure, then the overall response of the system is the convolution of the individual impulse responses.

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The impulse response of a continuous time system is given by The value of the step response at t = 2 is

**A. ** 0

**B. ** 1

**C. ** 2

**D. ** 3

**Answer : ****Option B**

**Explaination / Solution: **

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An RLC circuit with relevant data is given below.

**A. ** − j2 A

**B. **

**C. **

**D. ** + j2A

**Answer : ****Option D**

**Explaination / Solution: **

The current Ic in the figure above is

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**Preparation Study Material**- Circuit Analysis (Study/Preparation)
- Digital Electronics (Study/Preparation)
- Signals and Systems (Study/Preparation)
- Communication Theory (Study/Preparation)
- Basic Electrical and Instrumentation Engineering (Study/Preparation)
- Electrical Engineering and Instrumentation (Study/Preparation)
- Electronic Devices (Study/Preparation)
- Linear Integrated Circuits LIC (Study/Preparation)
- Electronic Circuits I (Study/Preparation)
- Electronic Circuits II (Study/Preparation)
- Control System Engineering (Study/Preparation)
- Digital Communication (Study/Preparation)
- Digital Signal Processing (Study/Preparation)
- Microprocessors and Microcontrollers (Study/Preparation)
- Electromagnetic Theory (Study/Preparation)