GATE 1990 Electronics & Communication

If the Laplace transform of the voltage across a capacitor of value of $$\frac12\;\mathrm F$$ is $$V_C\;\left(s\right)\;=\;\frac{s\;+\;1}{s^3\;+\;s^2\;+\;s\;+\;1}$$ , the value of...

The steady state error of a stable 'type 0' unity feedback system for a unit step function is

An electromechanical closed-loop control system has the following characteristic equation $$s^3+6Ks^2+\left(K+2\right)s+8\;=\;0$$, where K is the forward gain of the system.The con...

The minimum function that can detect a "divisible by 3" 8421 BCD code digit (representation is D 8 D 4 D 2 D 1 ) is given by:

The transfer function of a simple RC network functioning as a controller is: $${G_c}(s) = {{s + {z_1}} \over {s + {p_1}}}$$ The condition for the RC network to act as a phase lead...

The transfer function of simple RC network functioning as a controller is $$$G\,{}_c\left( s \right)\,\,\,\,{{s + {z_1}} \over {s + {p_1}}}$$$ The condition for the RC network to a...

The number of Boolean functions that can be generated by n variable is equal to:

A 4 bit modulo-16 ripple counter uses JK flip-flops. If the propagation delay of each FF is 50ns, the maximum clock frequency that can be used is equal to:

Which of the following statements are correct for basic transistor Amplifier configurations?

In a BPSK signal detector, the local oscillator has a fixed phase error of 20 0 . This phase error deteriorates the SNR at the output by a factor of

Choose the correct statements. For a wave propagating in an air filled rectangular wave guide

Two isotropic antennas are separated by a distance of two wavelengths. If both the antennas are fed with currents of equal phase and magnitude, the number of lobes in the radiation...

An image uses $$512\, \times \,512$$ picture elements. Each of the picture elements can take any of the 8 distinguishable intersity levels. The maximum entropy in the above image w...

A 200 volt (r. m. s) generator having an internal resistance of 200 ohm is feeding a loss-less transmission line. The characteristic impedance and the length of the line are 200 oh...

A 300 MHz plane E.M. wave is propagating in free space. The wave is incident normally on an infinite copper slab. For the transmitted wave in the copper slab, calculate the followi...

In a junction diode

The magnitude and phase transfer functions for a distortionless filter should respectively be:

A 4 GHz carrier is DSB-SC modulated by a low pass message signal with maximum frequency of 2 MHz. The resultant signal is to be ideally sampled. The minimum frequency of the sampli...

The response of an initially relaxed linear constant parameter network to a unit impulse applied at $$t = 0$$ is $$4{e^{ - 2t}}u\left( t \right).$$ The response of this network to...

The Z-transform of the following real exponential sequence: x(nT) = $${a^n}$$, nT $$ \ge $$ 0 =0, nT<0, a> 0 gives us by

Which of the following field equations indicate that the free magnetic charges do not exits?

The incoming solar radiation at a place on the surface of the earth is 1.2 KW/m 2 .The amplitude of the electric field corresponding to this incident power is nearly equal to