Recent questions tagged gate2007-ec

In a GSM system, $8$ channels can co-exist in $200 \; \mathrm{kHz}$ bandwidth using TDMA. A GSM based cellular operator is allocated $5 \; \mathrm{MHz}$ bandwidth. Assumi...

In a Direct Sequence CDMA system the chip rate is $1.2288 \times 10^{6}$ chips per second. If the processing gain is desired to be AT LEAST $100,$ the data ratemust be le...

An air-filled rectangular waveguide has inner dimensions of $3 \mathrm{~cm} \times 2 \mathrm{~cm}$. The wave impedance of the $\mathrm{TE}_{20}$ mode of propagation in th...

The $\vec{H}$ field (in $\mathrm{A/m}$ ) of a plane wave propagating in free space is given by\[ \vec{H}=\hat{x} \frac{5 \sqrt{3}}{\eta_{0}} \cos (\omega t-\beta z)+\hat{...

The $\vec{E}$ field in a rectangular waveguide of inner dimensions $a \times b$ is given by\[ \vec{E}=\frac{\omega \mu}{h^{2}}\left(\frac{\pi}{a}\right) H_{0} \sin \left(...

A load of $50\; \Omega$ is connected in shunt in a $2$-wire transmission line of $Z_{0}=50 \;\Omega$ as shown in the figure. The $2$-port scattering parameter matrix $\te...

The parallel branches of a $2$-wire transmission line are terminated in $100 \; \Omega$ and $200 \; \Omega$ resistors as shown in the figure. The characteristic impedance...

A $\dfrac{\lambda}{2}$ dipole is kept horizontally at a height of $\dfrac{\lambda_{0}}{2}$ above a perfectly conducting infinite ground plane. The radiation pattern in th...

A right circularly polarized (RCP) plane wave is incident at an angle of $60^{\circ}$ to the normal, on an air-dielectric interface. If the reflected wave is linearly pol...

The figure shows the high-frequency capacitance-voltage (C-V) characteristics of a $\mathrm{Metal} / \mathrm{SiO}_{2} / \text{silicon (MOS)}$ capacitor having an area of ...

The figure shows the high-frequency capacitance-voltage (C-V) characteristics of a $\mathrm{Metal} / \mathrm{SiO}_{2} / \text{silicon (MOS)}$ capacitor having an area of ...

The figure shows the high-frequency capacitance-voltage (C-V) characteristics of a $\mathrm{Metal} / \mathrm{SiO}_{2} / \text{silicon (MOS)}$ capacitor having an area of ...

Two $4$-ary signal constellations are shown. It is given that $\phi_{1}$ and $\phi_{2}$ constitute an orthonormal basis for the two constellations. Assume that the four s...

Two $4$-ary signal constellations are shown. It is given that $\phi_{1}$ and $\phi_{2}$ constitute an orthonormal basis for the two constellations. Assume that the four s...

Consider the Op-Amp circuit shown in the figure.The transfer function $V_{o}(s) / V_{i}(s)$ is$\frac{1-s R C}{1+s R C}$$\frac{1+s R C}{1-s R C}$$\frac{1}{1-s R C}$$\frac{...

Consider the Op-Amp circuit shown in the figure.If $V_{i}=V_{1} \sin (\omega t)$ and $V_{o}=V_{2} \sin (\omega t+\phi)$, then the minimum and maximum values of $\phi$ (in...

An $8085$ assembly language program is given below.Line 1: MVI A,B5H 2: MVI B0EH 3: XRI 69H 4: ADD B 5: ANI 9BH 6: CPI 9FH 7: STA 3010H 8: HLTThe contents of the accumula...

An $8085$ assembly language program is given below.Line 1: MVI A, B5H 2: MVI B, 0EH 3: XRI 69H 4: ADD B 5: ANI 9BH 6: CPI 9FH 7: STA 3010H 8: HLT After execution of line ...

Consider a linear system whose state space representation is $\dot{\mathbf{x}}(t)=\mathbf{A} \mathbf{x}(t)$. If the initial state vector of the system is $\mathbf{x}(0)=\...

Consider a linear system whose state space representation is $\dot{\mathbf{x}}(t)=\mathbf{A} \mathbf{x}(t)$. If the initial state vector of the system is $\mathbf{x}(0)=\...

An input to a $6$-level quantizer has the probability density function $f(x)$ as shown in the figure. Decision boundaries of the quantizer are chosen so as to maximize th...

An input to a $6$-level quantizer has the probability density function $f(x)$ as shown in the figure. Decision boundaries of the quantizer are chosen so as to maximize th...

In the Digital-to-Analog converter circuit shown in the figure below, $V_{R}=10 \mathrm{~V}$ and $\mathrm{R}=10 \; \mathrm{k} \Omega$.The current $i$ is$31.25 \; \mu \mat...

In the Digital-to-Analog converter circuit shown in the figure below, $V_{R}=10 \mathrm{~V}$ and $\mathrm{R}=10 \; \mathrm{k} \Omega$.The voltage $V_{o}$ is$-0.781 \mathr...