Consider a signal defined by

**A. **

**B. **

**C. **

**D. **

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

**Explaination / Solution: **

Its Fourier Transform is

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The steady state error of a unity feedback linear system for a unit step input is 0.1. The steady state error of the same system, for a pulse input r(t) having a magnitude of 10 and a duration of one second, as shown in the figure is

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The value of the integral

**A. **

**B. **

**C. ** 24/13

**D. ** 12/13

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

**Explaination / Solution: **

over the contour |z| = 1, taken in the anti-clockwise direction, would be

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Suppose x_{1}(t) and x_{2}(t) have the Fourier transforms as shown below

**A. ** x1(t) and x2(t) are complex and x1(t) x2(t) is also complex with nonzero imaginary part

**B. ** x1(t) and x2(t) are real and x1(t) x2(t) is also real

**C. ** x1(t) and x2(t) are complex but x1(t) x2(t) is real

**D. ** x1(t) and x2(t) are imaginary but x1(t) x2(t) is real

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

**Explaination / Solution: **

Which one of the following statements is TRUE?

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The impulse response h(t) of a linear time invariant continuous time system is
described by where u(-t) denotes the unit
step function, and α and β are real constants. This system is stable if

**A. ** α is positive and β is positive

**B. ** α is negative and β is negative

**C. ** α is negative and β is negative

**D. ** α is negative and β is positive

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

**Explaination / Solution: **

This system is stable only when bounded input has bounded output For stability αt < 0 for t > 0 that implies α < 0 and βt > 0 for t > 0 that implies β > 0. Thus, α is negative and β is positive.

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Let f(x) be a real, periodic function satisfying f(−x) = −f(x). The general form of its Fourier series representation would be

**A. **

**B. **

**C. **

**D. **

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

**Explaination / Solution: **

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A discrete time linear shift - invariant system has an impulse response h[n] with h[0] = 1,h[1] =- 1,h[2] = 2, and zero otherwise The system is given an input sequence x[n] with x[0] = x[2] = 1, and zero otherwise. The number of nonzero samples in the output sequence y[n], and the value of y[2] are respectively

**A. ** 5, 2

**B. ** 6, 2

**C. ** 6, 1

**D. ** 5, 3

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

**Explaination / Solution: **

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Let z(t) = x(t) * y(t), where "*" denotes convolution. Let C be a positive real-valued constant. Choose the correct expression for z (ct).
**A. ** c.x(ct) * y(ct)

**B. ** x(ct) * Y(ct)

**C. ** c.x(t) * y(ct)

**D. ** c.x(ct) * y(t)

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

**Explaination / Solution: **

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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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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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**Preparation Study Material**- Circuit Theory (Study/Preparation)
- Electromagnetic Theory (Study/Preparation)
- Digital Logic Circuits (Study/Preparation)
- Signals and Systems (Study/Preparation)
- Electrical Machines I (Study/Preparation)
- Electrical Machines II (Study/Preparation)
- Transmission and Distribution (Study/Preparation)
- Power System (Study/Preparation)
- Control Systems (Study/Preparation)
- Digital Logic Circuits (Study/Preparation)
- Electronic Devices and Circuits (Study/Preparation)
- Microprocessors and Microcontrollers (Study/Preparation)
- Power Electronics (Study/Preparation)

- Engineering Mathematics (Practise Test)
- Electric Circuits (Practise Test)
- Electromagnetic Fields (Practise Test)
- Signals and Systems (Practise Test)
- Electrical Machines (Practise Test)
- Power Systems (Practise Test)
- Control Systems (Practise Test)
- Electrical and Electronic Measurements (Practise Test)
- Analog and Digital Electronics (Practise Test)
- Power Electronics (Practise Test)