# 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

Short Answer▾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 |