# GATE (Graduate Aptitude Test in Engineering) Electrical Engineering: Questions 54 - 58 of 148

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## Question 54

Appeared in Year: 2013

### Question

MCQ▾

Two systems with impulse responses and are connected in cascade. Then the overall impulse response of the cascaded system is given by

### Choices

Choice (4)Response

a.

Product of and

b.

Sum of and

c.

Subtraction of from

d.

Convolution of and

## Question 55

Appeared in Year: 2019

### Write in Short

A co-axial cylindrical capacitor shown in Figure (i) has dielectric with relative permittivity . When one-fourth portion of the dielectric is replaced with another dielectric of relative permittivity , as shown in Figure (ii) , the capacitance is doubled. The value of is ________.

## Question 56

Appeared in Year: 2018

### Question

MCQ▾

A positive charge of 1nC is placed at (0,0, 0.2) where all dimensions are in metres. Consider the x-y plane to be a conducting ground plane. Take . The z component of the E field at (0,0, 0.1) is closest to

### Choices

Choice (4)Response

a.

V/m

b.

V/m

c.

V/m

d.

V/m

## Question 57

Appeared in Year: 2019

### Question

MCQ▾

The inverse Laplace transform of for is

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 58

Appeared in Year: 2013

### Question

MCQ▾

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

### Choices

Choice (4)Response

a.

12

b.

5

c.

20

d.

15

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