GATE ECE 1991 | GATE ECE Year Wise Previous Years Questions

GATE ECE 1991

Subjective

+10

-0

The four variable function f is given in terms of min-terms as: f (A B C D ) = $$\sum {} $$m (2,3,8,10,11,12,14,15 .) Using the K-map minimize the function in the sum of products form. Also, given the realization using only two-input NAND gates .

GATE ECE 1991

MCQ (More than One Correct Answer)

-0.6

The electric field component of a uniform plane electromagnetic wave propagating in the $$Y$$-direction in a lossless medium will satisfy the equation

$${{{\partial ^2}{E_y}} \over {\partial \,{y^2}}} = \mu \in {{{\partial ^2}{E_y}} \over {\partial \,{t^2}}}$$

$${{{\partial ^2}{E_y}} \over {\partial \,{x^2}}} = \mu \in {{{\partial ^2}{E_y}} \over {\partial \,{t^2}}}$$

$${{{\partial ^2}{E_x}} \over {\partial \,{y^2}}} = \mu \in {{{\partial ^2}{E_x}} \over {\partial \,{t^2}}}$$

$${{\sqrt {E_x^2 + E_z^2} } \over {\sqrt {H_x^2 + H_z^2} }} = \sqrt {\mu / \in } $$

GATE ECE 1991

MCQ (Single Correct Answer)

-0.6

The input impedance of a short-circuited lossless transmission line guarter wave long is

purely reactive

purely resistive

infinite

dependent on the characteristic impedance of the line

GATE ECE 1991

Subjective

-0

A uniform plane electromagnetic wave traveling in free-space enters into a lossless medium at normal incidence. In the medium its velocity reduces by 50% and in free space sets up a standing wave having a reflection coefficient of - 0.125. Calculate the permeability and the permittivity of the medium.

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