GATE 2001 Electronics & Communication

The current gain of a BJT is

If each branch of a Delta circuit has impedance $$\sqrt 3 \,Z$$, then each branch of the equivalent Wye circuit has impedance

If the characteristic equation of a closed-loop system is s 2 + 2s + 2 =0, then the system is

Consider the following two statements. Statement 1: Astable Multivibrator can be used for generating Square Wave. Statement 2: Bistable Multivibrator can be used for storing binary...

The 2’s complement representation of –17 is

Given the $$G\left(s\right)H\left(s\right)=\frac K{s\left(s+1\right)\left(s+3\right)}$$, the point of intersection of the asymptotes of the root loci with the real axis is

The open-loop DC gain of a unity negative feedback system with closed-loop transfer function $${{s + 4} \over {{s^2} + 7s + 13}}$$ is

Solve the differential equation $${{{d^2}y} \over {d{x^2}}} + y = x\,\,$$ with the following conditions $$(i)$$ at $$x=0, y=1$$ $$(ii)$$ at $$x=0, $$ $${y^1} = 1$$

An npn BJT has g m = 38 mA/V, $${C_\mu }\, = {10^{ - 14}}$$ F, $${C_\pi }\, = 4\, \times {10^{ - 13}}\,F$$ and DC current gain $$\beta \, = \,90$$. For this transistor f T and $${f...

An 8085 microprocessor based system uses a 4K × 8-bit RAM whose starting address is AA00H. The address of the last byte in this RAM is

An Amplifier using an Op-Amp with a Slew-Rate SR = V/$$\mu $$sec, has a gain of 40 dB. If this amplifier has to faith fully amplify sinsoidal signals from dc to 20 KHz. Without int...

The phase velocity of waves propagating in a hollow metal waveguide is

A medium has breakdown strength of $$16$$ KV/m r.m.s. Its relative permeability is $$1.0$$ and relative permittivity is $$4.0$$. A plane electromagnetic wave is transmitted through...

A video transmission system transmits 625 picture frames per second. Each frame consists of a $$400\,\, \times \,\,400$$ pixel grid with 64 intensity levels per pixel. The data rat...

In a uniform linear array, four isotropic radiating elements are spaced $$\lambda /4$$ apart. The progressive phase shift between the elements required for forming the main beam at...

The dominant mode in a rectangular waveguide is $$T{E_{10}}$$, because this mode has

The PDF of a Gaussian random variable X is given by $${p_x}(x) = \,{1 \over {3\sqrt {2\pi } }}\,\exp \,[ - \,{(x - 4)^2}/18]$$. The probability of the event {X = 4} is

During transmission over a communication channel, bit errors occur independently with probability 'p'. If a block of n bits is transmitted, the probability of at most one bit error...

A medium wave radio transmitter operating at a wavelength of 492 m has a tower antenna of height 124m. What is the radiation resistance of the antenna?

If a plane electromagnetic wave satisfies the equation $${{{\partial ^2}\,{E_x}} \over {\partial \,{z^2}}} = \,{c^2}{{{\partial ^2}\,{E_x}} \over {\partial \,{t^2}}},$$ the wave pr...

A uniform plane electromagnetic wave incident normally on a plane surface of a dielectric material is reflected with a VSWR of 3. What is the percentage of incident power that is r...

A rectangular hollow metal waveguide has dimensions a = 2.29 cm and b = 1.02 cm. Microwave power at 10 GHz is transmitted through the waveguide in the $$T{E_{10}}$$ mode. (a) Calcu...

A band limited signal is sampled at the Nyquist rate. The signal can be recovered by passing the samples through

The ideal Op-Amp has the following characteristics.

MOSFET can be used as a

The Nyquist sampling interval, for the signal Sinc(700t) + Sinc(500t) is

The PSD and the power of a signal g(t) are, respectively, S g ($$\omega$$) and P g . The PSD and the power of the signal ag(t) are, respectively

If a signal f(t) has energy E, the energy of the signal f(2t) is equal to

The region of convergence of the z- transform of a unit step function is

The impulse response function of four linear system S1, S2, S3, S4 are given respectively by $${h_1}$$(t), = 1; $${h_2}$$(t), = U(t); $${h_3}(t)\, = \,{{U(t)} \over {t + 1}}$$; $${...

The transfer function of a system is given by $$H\left( s \right) = {1 \over {{s^2}\left( {s - 2} \right)}}$$. The impulse response of the system is

Let $$\delta (t)$$ denote the delta function. The value of the the integral $$\int\limits_{ - \infty }^\infty {\delta (t)} \,\,\cos \left( {{{3\,\,t} \over 2}} \right)dt$$ is

A transmission line is distortionless if

A material has conductivity of 10 -2 mho/m and a relative permittivity of 4. The frequency at which the conduction current in the medium is equal to the displacement current is