# Networks, Signals and Systems [GATE (Graduate Aptitude Test in Engineering) Electronics]: Questions 136 - 140 of 141

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## Question 136

Appeared in Year: *2020*

### Question

Numeric Answer▾is the Fourier transform of x (t) shown below? The value of (rounded off to two decimal places) is ________

## Question 137

Appeared in Year: *2020*

### Question

Numeric Answer▾The current in the RL-circuit shown below is i (t) = .

The value of the inductor (rounded off to two decimal places) is … H.

## Question 138

Appeared in Year: *2020*

### Question

MCQ▾A finite duration discrete time signal x (n) is obtained by sampling the continuous time signal,

at sampling instants, . The 8-point DFT and is defined as

Which is true?

### Choices

Choice (4) | Response | |
---|---|---|

a. | Only and are non-zero | |

b. | All are non-zero | |

c. | Only and are non-zero. | |

d. | Only is non-zero. |

## Question 139

Appeared in Year: *2021*

### Question

Numeric Answer▾Consider the signals and

Where is the unit step sequence. Let and be the discrete-time Fourier transform of and , respectively. The value of the integral

(Rounded off to one decimal place) is ________

## Question 140

Appeared in Year: *2021*

### Question

Numeric Answer▾The circuit in the figure contains a current source driving a load having an inductor and a resistor in series, with a shunt capacitor across the load. The ammeter is assumed to have zero resistance. The switch is closed at time t =

Initially, when the switch is open, the capacitor is discharged and the ammeter reads zero ampere. After the switch is closed, the ammeter reading keeps fluctuating for some time till it settles to a final steady value. The maximum ammeter reading that one will observe after the switch is closed (rounded off to two decimal places) is ________A