The fourier series expansion of the periodic
signal shown below will contain the following nonzero terms

**A. **

**B. **

**C. **

**D. **

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

**Explaination / Solution: **

⇒ it satisfies the half wave symmetry, so that it contains only odd harmonics.

⇒ it satisfies the half wave symmetry, so that it contains only odd harmonics.

⇒ It satisfies the even symmetry. So b_{n} = 0

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For a periodic signal the
fundamental frequency in radians/s is

**A. ** 100

**B. ** 300

**C. ** 500

**D. ** 1500

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

**Explaination / Solution: **

No Explaination.

No Explaination.

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Consider a signal defined by

**A. **

**B. **

**C. **

**D. **

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

**Explaination / Solution: **

Its Fourier Transform is

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Consider a linear time invariant system x = Ax, with initial condition x(0) at t = 0. Suppose α and β are eigenvectors of (2 x 2) matrix A corresponding to distinct eigenvalues λ_{1} and λ_{2} respectively.
Then the response x(t) of the system due to initial condition x(0) = α is

**A. **

**B. **

**C. **

**D. **

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

**Explaination / Solution: **

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The system ẋ = Ax + Bu with is

**A. ** stable and controllable

**B. ** stable but uncontrollable

**C. ** unstable but controllable

**D. ** unstable and uncontrollable

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

**Explaination / Solution: **

No Explaination.

No Explaination.

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The z −transform X(z) of a sequence x n is given by X It is given
that the region of convergence of X(z) includes the unit circle. The value of x is

**A. ** −0.5

**B. ** 0

**C. ** 0.25

**D. ** 05

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

**Explaination / Solution: **

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{ x(n)} is a real - valued periodic sequence with a period N . x(n) and X(k) form N-point Discrete Fourier Transform (DFT) pairs. The DFT Y(k) of the sequence is

**A. **

**B. **

**C. **

**D. ** 0

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

**Explaination / Solution: **

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The result of the convolution is

**A. ** x ( t + t_{0})

**B. ** x ( t - t_{0})

**C. ** x ( -t + t_{0})

**D. ** x ( -t - t_{0})

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

**Explaination / Solution: **

From the convolution property,

From the convolution property,

Now, we replace t by -t to obtain

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Match the inferences X, Y, and Z, about a system, to the corresponding properties of the elements of first column in Routh‟s Table of the system characteristic equation
X: The system is stable … P: … when all elements are positive
Y: The system is unstable … Q: … when any one element is zero
Z: The test breaks down … R: … when there is a change in sign of coefficients

**A. ** X→P, Y→Q, Z→R

**B. ** X→Q, Y→P, Z→R

**C. ** X→R, Y→Q, Z→P

**D. ** X→P, Y→R, Z→Q

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

**Explaination / Solution: **

No Explaination.

No Explaination.

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The input voltage given to a converter is

**A. ** 181W

**B. ** 500W

**C. ** 707W

**D. ** 887W

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

**Explaination / Solution: **

The current drawn by the converter is

The active power drawn by the converter 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)