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

Workspace

Report

The frequency response of a linear, time-invariant system is given by The step response of the system is

**A. ** 5(1 - e^{-5t}) u(t)

**B. ** 5(1 - e^{-t/5}) u(t)

**C. ** 1/2 (1 - e^{-5t}) u(t)

**D. ** 1/5 (1 - e^{-t/5}) u(t)

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

**Explaination / Solution: **

Workspace

Report

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: **

Workspace

Report

The response h(t) of a linear time invariant system to an impulse δ(t) , under
initially relaxed condition is The response of this system for a
unit step input u(t) is

**A. **

**B. **

**C. **

**D. **

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

**Explaination / Solution: **

Workspace

Report

The input and output of a continuous time system are respectively denoted by x(t) and y(t). Which of the following descriptions corresponds to a causal system ?

**A. ** y(t) = x(t - 2) + x(t + 4)

**B. ** y(t) = (t - 4)x(t + 1)

**C. ** y(t) = (t + 4)x(t - 1)

**D. ** y(t) = (t + 5)x(t + 5)

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

**Explaination / Solution: **

The output of causal system depends only on present and past states only. In option (A) y(0) depends on x(- 2) and x(4). In option (B) y(0) depends on x(1). In option (C) y(0) depends on x(- 1). In option (D) y(0) depends on x(5). Thus only in option (C) the value of y(t) at t = 0 depends on x(- 1) past value. In all other option present value depends on future value.

The output of causal system depends only on present and past states only. In option (A) y(0) depends on x(- 2) and x(4). In option (B) y(0) depends on x(1). In option (C) y(0) depends on x(- 1). In option (D) y(0) depends on x(5). Thus only in option (C) the value of y(t) at t = 0 depends on x(- 1) past value. In all other option present value depends on future value.

Workspace

Report

Given that f(y) = | y | / y, and q is any non-zero real number, the value of | f(q) - f(-q) | is

**A. ** 0

**B. ** -1

**C. ** 1

**D. ** 2

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

**Explaination / Solution: **

Workspace

Report

The signal x(t) is described by

**A. ** π, 2π

**B. ** 0.5π, 1.5π

**C. ** 0, π

**D. ** 2π, 2.5π

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

**Explaination / Solution: **

Two of the angular frequencies at which its Fourier transform becomes zero are

Workspace

Report

Group I lists a set of four transfer functions. Group II gives a list of possible step response y(t). Match the step responses with the corresponding transfer functions.

Workspace

Report

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.

Workspace

Report

A band-limited signal with a maximum frequency of 5 kHz is to be sampled. According to the sampling theorem, the sampling frequency in kHz which is not valid is

**A. ** 5

**B. ** 12

**C. ** 15

**D. ** 20

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

**Explaination / Solution: **

No Explaination.

No Explaination.

Workspace

Report

**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)