GATE ECE 2021 | GATE ECE Year Wise Previous Years Questions

GATE ECE 2021

Numerical

-0

A standard air-filled rectangular waveguide with dimensions $a=8 \mathrm{~cm}, b=4 \mathrm{~cm}$, operates at 3.4 GHz . For the dominant mode of wave propagation, the phase velocity of the signal is $v_p$. The value (rounded off to two decimal places) of $v_p / c$, where $c$ denotes the velocity of light, is $\_\_\_\_$ .

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GATE ECE 2021

Numerical

-0

For a vector field $\overrightarrow{\mathbf{D}}=\rho \cos ^2 \phi \hat{\mathbf{a}}_{\boldsymbol{\rho}}+z^2 \sin ^2 \phi \hat{\mathbf{a}}_\phi$ in a cylindrical coordinate system $(\rho, \phi, z)$ with unit vector $\hat{\boldsymbol{a}}_\rho, \hat{\boldsymbol{a}}_\phi$ and $\hat{\boldsymbol{a}}_z$, the net flux of $\overrightarrow{\mathbf{D}}$ leaving the closed surface of the cylinder $(\rho=3,0 \leq z \leq 2)$ (Round off to 2 decimal places) is $\_\_\_\_$ .

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GATE ECE 2021

MCQ (Single Correct Answer)

-0

The vector function $F(r) = -x \hat{i} + y \hat{j}$ is defined over a circular arc C shown in the figure,

GATE ECE 2021 Electromagnetics - Uniform Plane Waves Question 4 English

The line integral of $\int\limits_{C} \mathbf{F(r)} \cdot d\mathbf{r}$ is

1/2

1/4

1/6

1/3

GATE ECE 2021

Numerical

-0

Consider the vector field $\overline{\mathbf{F}}=\hat{\mathbf{a}}_{\mathbf{x}}\left(4 y-c_1 z\right)+\hat{\mathbf{a}}_{\mathbf{y}}(4 x+2 z)+\hat{\mathbf{a}}_{\mathbf{z}}(2 y+z)$ in a rectangular coordinate system $(x, y, z)$ with unit vectors $\hat{\mathbf{a}}_{\mathbf{x}}, \hat{\mathbf{a}}_{\mathbf{y}}, \hat{\mathbf{a}}_{\mathbf{z}}$. If the field $\mathbf{F}$ is irrotational (conservative), then the constant $c_1$ (in integer) is $\_\_\_\_$ .

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