GATE ECE 1998 | GATE ECE Year Wise Previous Years Questions

GATE ECE 1998

MCQ (Single Correct Answer)

-0.3

The parallel $$RLC$$ circuit shown in figure is in resonance. In this circuit GATE ECE 1998 Network Theory - Sinusoidal Steady State Response Question 41 English

GATE ECE 1998 Network Theory - Sinusoidal Steady State Response Question 41 English

$$\left| {{{\rm I}_R}} \right| < 1m{\rm A}$$

$$\left| {{{\rm I}_R} + {{\rm I}_L}} \right| > 1m{\rm A}$$

$$\left| {{{\rm I}_R} + {{\rm I}_C}} \right| < 1m{\rm A}$$

$$\left| {{{\rm I}_L} + {{\rm I}_C}} \right| > 1m{\rm A}$$

GATE ECE 1998

MCQ (Single Correct Answer)

-0.3

A network has 7 nodes and 5 independent loops. The number of branches in the network is

GATE ECE 1998

MCQ (Single Correct Answer)

-0.3

The short-circuit admittance matrix of a two-port network is $$$\begin{bmatrix}0&-\frac12\\\frac12&0\end{bmatrix}$$$ The two port network is

non-reciprocal and passive

non-reciprocal and active

reciprocal and passive

reciprocal and active

GATE ECE 1998

Subjective

-0

A voltage source of internal impedance $${\mathrm R}_\mathrm s\;+\;{\mathrm{jX}}_\mathrm s$$ supplies power to a load of impedance $${\mathrm R}_\mathrm L\;+\;{\mathrm{jX}}_\mathrm L$$ in which only $${\mathrm R}_\mathrm L$$ is variable. Determine the value of $${\mathrm R}_\mathrm L$$ for maximum power transfer from the source to the load. Also, find the numerical value of $${\mathrm R}_\mathrm L$$ if the source impedance is 3.0 Ω (purely resistive) and $${\mathrm X}_\mathrm L$$ is 4.0 Ω.

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