Recent questions

Consider an AC bridge shown in the figure with $\mathrm{R}=300 \: \Omega, \mathrm{R} 1=1000 \: \Omega$, $\mathrm{R} 2=500 \: \Omega, \mathrm{~L}=30 \mathrm{mH}$, and a de...

An air filled parallel plate electrostatic actuator is shown in the figure. The area of each capacitor plate is $100 \: \mu \mathrm{m} \times 100 \: \mu \mathrm{m}$. The ...

The resistance of a thermistor is measured to be $2.25 \: \mathrm{k} \Omega$ at $30^{\circ} \mathrm{C}$ and $1.17 \: \mathrm{k} \Omega$ at $60^{\circ} \mathrm{C}$. Its ma...

A feedback control system is shown in the figure.The maximum allowable value of $n$ such that the output $y(t)$, due to any step disturbance signal $d(t)$, becomes zero a...

The circuit given in the figure is driven by a voltage source $V_{S}=25 \sqrt{2} \angle 30^{\circ} \: \mathrm{V}$. The system is operating at a frequency of $50 \: \mathr...

In the circuit shown, the galvanometer $(G)$ has an internal resistance of $100 \: \Omega$. The galvanometer current $I_{G}$ is ____________ $\mu \mathrm{A}$ (rounded off...

A series RLC circuit resonates at $7500 \: \mathrm{rad} / \mathrm{s}$ for inductance $L=20 \: \mathrm{mH}$ and resistance $R=10\: \Omega$. The uncertainties in the measur...

In the circuit shown, the switch is opened at $t=0 \mathrm{~s}$. The current $i(t)$ at $t=2 \mathrm{~ms}$ is __________ $\mathrm{mA}$ (rounded off to two decimal places).

A signal $V_{M}=5 \sin (\pi t / 3) \mathrm{V}$ is applied to the circuit consisting of a switch $S$ and capacitor $C=0.1 \mu \mathrm{~F}$, as shown in the figure. The out...

For the circuit shown in the figure, the active power supplied by the source is ___________ $W$ (rounded off to one decimal place).

​​​​If ' $\rightarrow$ ' denotes increasing order of intensity, then the meaning of the words[drizzle $\rightarrow$ rain $\rightarrow$ downpour] is analogous to [ $\right...

​​​​Statements:All heroes are winners.All winners are lucky people.Inferences:All lucky people are heroes.Some lucky people are heroes.Some winners are heroes.Which of th...

​​​​​If the sum of the first $20$ consecutive positive odd numbers is divided by $20^{2}$, the result is$1$$20$$2$$1 / 2$

​​​​The ratio of the number of girls to boys in class $\text{VIII}$ is the same as the ratio of the number of boys to girls in class $\text{IX}$. The total number of stud...

In the given text, the blanks are numbered $\text{(i)-(iv)}$. Select the best match for all the blanks.Yoko Roi stands _$\text{(i)}$_ as an author for standing _$\text{(i...

Seven identical cylindrical chalk-sticks are fitted tightly in a cylindrical container. The figure below shows the arrangement of the chalk-sticks inside the cylinder.The...

​​​​The plot below shows the relationship between the mortality risk of cardiovascular disease and the number of steps a person walks per day. Based on the data, which on...

​​​Let $\boldsymbol{z}=x+i y$ be a complex variable and $\overline{\boldsymbol{z}}$ be its complex conjugate. The equation $\bar{z}^{2}+z^{2}=2$ represents aparabolahyper...

The pressure drop across a control valve is constant. The control valve with inherent characteristic has decreasing sensitivity. If $x$ represents the fraction of maximum...

A discrete-time sequence is given by $x[n]=[1,2,3,4]$ for $0 \leq n \leq 3$. The zero lag auto-correlation value of $x[n]$ is$1$$10$$20$$30$

Match the following measuring devices with their principle of measurement.$$\begin{array}{|l|l|} \hline \textbf{Measuring Device} & \textbf{Principle of Measurement} \\ \...

The capacitor shown in the figure has parallel plates, with each plate having an area $A$. The thickness of the dielectric materials are $d_{1}$ and $d_{2}$ and their rel...

Among the given options, the simplified form of the Boolean function $\mathrm{F=(A+\bar{A} \cdot B)+\bar{A} \cdot(A+\bar{B}) \cdot C}$ is$\mathrm{A+B+C}$$\mathrm{A \cdot ...

Consider the state-space representation of a system$$ \dot{x}=A x+B u $$where $x$ is the state vector, $u$ is the input, $A$ is the system matrix and $B$ is the input mat...

The sinusoidal transfer function corresponding to the polar plot shown in the figure, for $T>0$, is$1-j \omega T$$\dfrac{1-j \omega T}{1+j \omega T}$$1+j \omega T$$\dfrac...

The capacitance formed between two concentric spherical metal shells having radii $x$ and $y$ with $y>x$ isNote: $\epsilon$ is the permittivity of the medium between the ...

A linear transducer is calibrated for the ranges shown in the figure. The gain of the transducer is $\_\_\_\_\_$ $\mathrm{mA} /{ }^{\circ} \mathrm{C}$ (rounded off to two...

Consider a filter defined by the difference equation$$ y[n]-0.5 y[n-2]=a x[n-4] $$where $x[n]$ and $y[n]$ represent the input and output, respectively. If the magnitude r...

Consider the circuit shown in the figure.The CMOS digital logic circuit has infinite input impedance. Assume the opamp is ideal. A $1.8 \mathrm{~V}$ Zener diode with a mi...

Figure shows an amplifier using an NMOS transistor. Assume that the transistor is in saturation with device parameters, $\mu_{n} C_{\text{o x}}=250 \mu \mathrm{A} / \math...

The number of complex multiplications required for computing a $16$-point DFT using the decimation-in-time radix-$2$ FFT is $\_\_\_\_\_\_\_$ (in integer).

The Nyquist sampling frequency for $x(t)=10 \sin ^{2}(200 \pi t)$ is $\_\_\_\_\_\_\_ \mathrm{~Hz}$ (rounded off to nearest integer).

The resistance of a $20 \mathrm{~k} \Omega$ resistor is measured six consecutive times using an LCR meter. The first five readings are $19 \mathrm{~k} \Omega, 18 \mathrm{...

The voltage applied and the current drawn by a circuit are$$ \begin{array}{c} v(t)=95+200 \cos (120 \pi t)+90 \cos \left(360 \pi t-60^{\circ}\right) \mathrm{V} \\i(t)=4 \...