Recent questions tagged gate2015-in

The linear $I-V$ characteristics of 2-terminal non-ideal dc sources $X$ and $Y$ are shown in the figure. If the sources are connected to a $1\Omega$ resistor as shown, th...

Consider the circuits shown in the figure. The magnitude of the ratio of the currents, i.e., $|I_1/I_2|$, is ___________.

The circuit shown in the figure is in series resonance at frequency $f_c\;Hz$. The value of $V_c$ in volts is _____________ $V$.

The output frequency of an $LC$ tank oscillator employing a capacitive sensor acting as the capacitor of the tank is $100\;kHz$. If the sensor capacitance increases by $1...

In the figure shown, $R_T$ represents a resistance temperature device $(RTD)$, whose characteristic is given by $R_T=R_\circ(1+\alpha T),$ where $R_\circ=100\: \Omega, \:...

In the circuit shown in the figure, it is found that $V_{BE}=0.7\:V$ and $V_E=0\:V$. If $\beta_{dc}=99$ for the transistor, then the value of $R_B$ in kilo ohms is ______...

An opamp has ideal characteristics except that its open loop gain is given by the expression $Av(S)=10^4/(1+10^{-3}\;s).$ This op-amp is used in the circuit shown in the ...

In the circuit shown, the voltage source $V(t)=15+0.1\sin(100t)$ volts. The $PMOS$ transistor is biased such that it is in situation with its gate-source capacitance beig...

An $ADC$ is interfaced with a microprocessor as shown in the figure. All signals have been indicated with typical notations. Acquisition of one new sample of the analog i...

The number of clock cycles for the duration of an input pulse is counted using a cascade of $N$ decade counters $\text{(DC 1 to DC N)}$ as shown in the figure. If the clo...

For the circuit shown in the figure, the rising edge triggered D-flip flop with asynchronous reset has a clock frequency of $\text{1 Hz}$. The $\text{NMOS}$ transistor ha...

A transfer function $G(s)$ with the degree of its numerator polynomial zero and the degree of its denominator polynomial two has a Nyquist plot shown in the figure. The t...

In the circuit shown in the figure, both the $\text{NMOS}$ transistors are identical with their threshold voltages being $\text{5 V}$. Ignoring channel length modulation,...

The signal $x[n]=\sin(\pi n/6)/(\pi n)$ is processed through a linear filter with the impulse response $h[n]=\sin(\omega_cn)/(\pi n)$ where $\omega_c>\pi/6$. The output o...

A signal is band-limited to $\text{0 to 12 kHz}$. The signal spectrum is corrupted by additive noise which is band-limited to $\text{10 to 12 kHz}$. Theoretically, the mi...

Consider a low-pass filter module with a pass-band ripple of $\delta$ in the gain magnitude. If $M$ such identical modules are cascaded, ignoring the loading effects, the...

The fundamental period of the signal $x(t)=2\cos(\frac{2\pi t}{3})+\cos(\pi t)$, in seconds, is ________________ s.

If the deflection of the galvanometer in the bridge circuit shown in the figure is zero, then the value of $R_X$ in ohms is _______________ $\Omega.$

In the potentiometer circuit shown in the figure, the expression for $V_X$ is ____________.$(1-2\alpha)V$$(1-\alpha)V$$(\alpha-1)V$$\alpha V$

The open loop transfer function of a system is $G(s)=\frac{s^2+6s+10}{s^2+2s+2}.$ The angles of arrival of its root loci are$\pm \frac{\pi}{4}$$\pm \frac{\pi}{3}$$\pm \fr...

A system is represented in state-space as $\dot{X}=AX+BU,$ where $A=\begin{bmatrix} 1 & 2 \\ \alpha & 6\end{bmatrix}$ and $B=\begin{bmatrix} 1 \\ 1\end{bmatrix}$. The val...

A liquid level measurement system employing a radio-isotope is mounted on a tank as shown in the figure. The absorption coefficient of water for the radiation is $7.7 \;m...

The figure shows a spot of light of uniform intensity $50\;W/m^2$ and size $10\;mm\times10\;mm$ incident at the exact center of a photo-detector, comprising two identical...

A beam of monochromatic light passes through two glass slabs of the same geometrical thickness at normal incidence. The refractive index of the first slab is $1.5$ and th...

The resolving power of a spectrometer consisting of a collimator, a grating and a telescope can be increased byincreasing the angular magnification of the telescopeincrea...