GATE 1995 Electronics & Communication
58 questions across 1 session
The electric field strength at a distance point, P, due to a point charge, +q, located at the origin, is 100 $$\mu $$V/m. If the point charge is now enclosed by a perfectly conduct...
Copper behaves as a
An R-S latch is
A ROM is to be used to implement the Boolean functions given below: $${F_1}$$$$(A,\,B,\,C,\,D) = ABCD + \bar A\,\overline B \,\bar C\,\bar D$$ $${F_2}(A,\,B,\,C,\,D) = (A + B)(\bar...
Signal flow graph is used to find
If $$L\left\{ {f\left( t \right)} \right\} = {{2\left( {s + 1} \right)} \over {{s^2} + 2s + 5}}$$ then $$f\left( {{0^ + }} \right)$$ and $$f\left( \propto \right)$$ are given by __...
Two 2H inductance coils are connected in series and are also magnetically coupled to each other the coefficient of coupling being 0.1.The total inductance of the combination can be
A DC voltage source is connected across a series R-L-C circuit. Under steady-state conditions, the applied DC voltage drops entirely across the
Consider a DC voltage source connected to a series R-C circuit. When the steady-state reaches, the ratio of the energy stored in the capacitor to the total energy supplied by the v...
The transfer function of a linear system is the
For a second order system, damping ratio $$\left(\xi\right)$$ , is 0 < $$\xi$$ < 1 ,then the roots of the characteristic polynomial are
The final value theorem is used to find the
A BJT is said to be operating in the saturation region if
If $$L\left(f\left(t\right)\right)=\frac{2\left(s+1\right)}{s^2+2s+5}$$ then f(0 + ) and f($$\infty$$) are given by [Note: 'L' stands for 'Laplace Transform of']
The step error coefficient of a system G(s)=$$\frac1{\left(s+6\right)\left(s+1\right)}$$ with unity feedback is
A power Amplifier delivers 50 W output at 50% efficiency. The ambient temperature is 25$$^\circ $$ C. if the maximum allowable junction temperature is 150 $$^\circ $$ C, then the m...
An n-channel JFET has I DSS = 1 mA and V p = -5 V. Its maximum transconductance is ______
A change in the value of the Emitter resistance (R e in a difference Amplifier.
The current $$i(t)$$ through a $$10$$-$$\Omega $$ resistor in series with an inductance is given by $$i(t)$$$$ = 3 + 4\sin \left( {100t + {{45}^ \circ }} \right) + 4\sin \left( {30...
An RC-Coupled Amplifier is assumed to have a single-pole low frequency transfer function. The maximum lower-cutoff frequency allowed for the Amplifier to pass 50 Hz square wave wit...
A switch-tail ring counter is made by using a single D flip-flop. The resulting circuit is a
An op-Amp is used as a zero-crossing detector. If maximum output available from the Op-Amp is $$ \pm 12\,\,{V_{p - p}}$$ and the slew rate of the Op-Amp is 12 $$V/\mu $$ sec then t...
To obtain very high input and output impedances in a feedback Amplifier, the mostly used is
The minimum number of MOS transistors required to make a dynamic RAM cell is
An antenna when radiating, has a highly directional radiation pattern. When the antenna is receiving its radiation pattern
The signal to quantization noise ratio in an n-bit PCM system
An 'Assembler' for a microprocessor a used for
In a microprocessor, when a CPU is interrupted, it
For a narrow band noise with Gaussian quadrature and inphase components, the probability density function of its enveolope will be
A rectangular hollow metal waveguide is required to be so designed to propagate a 9375 MHz signal in its $$T{E_{10}}$$-mode that the guide-wavelength equals the cut-off wavelength....
Two dipoles are so fed and oriented in free space that they produce the following electromagnetic waves: $$${E_x} = 10\,{e^{j\left( {\omega t - z\pi /3} \right)}}\,\,volts/metre$$$...
The intrinsic impedance of a lossy dielectric medium is given by
In the infinite plane, y = 6 m, there exists a uniform surface charge density of (1/6000$$\pi $$) $$\mu $$C/m 2 . The associated electric field strength is:
If the number of bits per sample in a PCM system is increased from n to n+1, the improvement in signal-to-quantization noise ratio will be
The minimum number of NAND gates required to implement the Boolean function $$A + A\overline B $$ $$ + A\overline B C$$ is equal to
The third term in the taylor's series expansion of $${e^x}$$ about $$'a'$$ would be ________.
A series $$R$$-$$L$$-$$C$$ circuit has a $$Q$$ of $$100$$ and an impedance of $$\left( {100 + j0} \right)\,\Omega $$ at its resonant angular frequency of $${10^7}$$ rad/sec. The va...
An Amplifier has an open-loop gain of 100 and its lower and upper-cut-off frequency of 100 Hz and 100 kHz respectively, a feedback network with a feedback factor of 0.99 is connect...
By reversing the order of integration $$\int\limits_0^2 {\int\limits_{{x^2}}^{2x} {f\left( {x,y} \right)dy\,dx} } $$ may be represented as ______.
Non - minimum phase transfer function is defined as the transfer function
The drift velocity of electrons in silicon
The probability that an electron in a metal occupies the Fermi-level at any temperature (> 0 K)
A zener diode works on the principle of
The depletion capacitance, C J , of an abrupt P-N junction with constant doping on either side varies with reverse bias, V R , as
In a P-type silicon sample, the hole concentration is $$2.25\times10^{15}/cm^3$$. If the intrinsic carrier concentration is $$1.5\times10^{15}/cm^3$$ , the electron concentration i...
The breakdown voltage of a transistor with its base open is BV CEO with emitter open is BV CBO , then
A BJT is said to be operating in the saturation region if
The Ebers-Moll model is applicable to
The Early-Effect in a bipolar junction transistor is caused by
The final value theorem is used to find the
Match each of the items, A, B and C, with an appropriate item from 1, 2, 3, 4 and 5 A. Fourier transform of a Gaussian function B. Convolution of a rectangular pulse with itself C....
Let h(t) be the impulse response of a linear time invariant system. Then the response of the system for any input u(t) is
Non - minimum phase transfer function is defined as the transfer function
If L$$\left[ {f\left( t \right)} \right]$$ = $${{2\left( {s + 1} \right)} \over {{s^2} + 2s + 5}}$$, then $$f\left( {0 + } \right)\,$$ and $$f\left( \infty \right)$$ are given by
The diffusion potential across a P-N junction
A signal v(t)= [1+ m(t) ] cos $$({\omega _c}t)$$ is detected using a square law detector, having the characteristic $${v_0}(t) = {v^2}(t)$$. If the Fourier transform of m(t) is con...
The transfer function of a linear system is the
A sinsoidal signal, v(t) = A sin(t), is applied to an ideal full-wave rectifier. Show that the Laplace Transform of the output can be written in the form, $${V_0}\left( s \right) =...