GATE ECE 1991 | GATE ECE Year Wise Previous Years Questions

GATE ECE 1991

MCQ (Single Correct Answer)

-0.6

The necessary and sufficient condition for a rational function of s, T(s) to be driving point impedance of an RC network is that all poles and zeros should be

simple and lie on the negative axis in the s-plane

complex and lie in the left half of the s-plane

complex and lie in the right half of the s-plane

simple and lie on the positive real axis of the s-plane

GATE ECE 1991

MCQ (Single Correct Answer)

-0.6

Two two-port networks are connected in cascade. The combination is to be represented as a single two-port network. The parameters of the network are obtained by multiplying the individual

z-parameter matrix

h-parameter matrix

y-parameter matrix

ABCD parameter matrix

GATE ECE 1991

Subjective

-0

Find the Laplace transform of the waveform x(t) shown in Fig.1. GATE ECE 1991 Signals and Systems - Continuous Time Signal Laplace Transform Question 2 English

GATE ECE 1991

MCQ (Single Correct Answer)

-0.6

The voltage across an impedance in a network is V(s) = Z(s) I(s), where V(s), Z(s) and $${\rm I}$$(s) are the Laplace Transforms of the corresponding time functions V(t), z(t) and i(t).

The voltage v(t) is

$$v\left( t \right) = z\left( t \right)\,.\,i\left( t \right)$$

$$v\left( t \right) = \int\limits_0^t {i\left( \tau \right)\,z\left( {t - \tau } \right)d\tau } $$

$$v\left( t \right) = \int\limits_0^t {i\left( \tau \right)z\left( {t + \tau } \right)d\tau } $$

$$v\left( t \right) = z\left( t \right) + i\left( t \right)$$

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