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2481
GATE ECE 2006 | Question: 44
An $\frac{\mathrm{I}}{\mathrm{O}}$ peripheral device shown in Figure $(b)$ below is to be interfaced to an $8085$ microprocessor. To select the $\frac{\mathrm{I}}{\mathrm{O}}$ device in the $\frac{\mathrm{I}}{\mathrm{O}}$ ... $(a)$ below output $7$ output $5$ output $2$ output $0$
An $\frac{\mathrm{I}}{\mathrm{O}}$ peripheral device shown in Figure $(b)$ below is to be interfaced to an $8085$ microprocessor. To select the $\frac{\mathrm{I}}{\mathrm...
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2482
GATE ECE 2006 | Question: 48
Following is the segment of a $8085$ assembly language program $\text{LXISP,EFFFH}$ $\text{CALL 3000 H}$ $3000 \mathrm{H}: \mathrm{LXIH}, 3 \mathrm{CF} 4 \mathrm{H}$ $\text{PUSH PSW}$ $\text{SPIH}$ $\text{POP PSW}$ $\text{RET}$ On completion of $\text{RET}$ execution ... of $\mathrm{SP}$ is $3 \text{CFO H}$ $3 \mathrm{CF} 8 \; \mathrm{H}$ $\text{EFFD H}$ $\text{EFFF H}$
Following is the segment of a $8085$ assembly language program$\text{LXISP,EFFFH}$$\text{CALL 3000 H}$$3000 \mathrm{H}: \mathrm{LXIH}, 3 \mathrm{CF} 4 \mathrm{H}$$\text{P...
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2483
GATE ECE 1994 | Question 4.8
(A) $\overrightarrow{\mathrm{V}} \times \overrightarrow{\mathrm{H}}=\overrightarrow{\mathrm{J}}$ (1)Continuity equation (B) $\int_{c} \vec{E} \cdot \overrightarrow{a_{t}}=-\frac{d}{f} \int \vec{B} \cdot \overrightarrow{d s}$ (2) Faraday's ... (3) Ampere's Law (4) Gauss's law (5) Biot-Savart law
(A) $\overrightarrow{\mathrm{V}} \times \overrightarrow{\mathrm{H}}=\overrightarrow{\mathrm{J}}$(1)Continuity equation(B) $\int_{c} \vec{E} \cdot \overrightarrow{a_{t}}=-...
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2484
GATE ECE 2008 | Question: 42
The magnitude of frequency response of an underdamped second order system is $5$ at $0 \; \mathrm{rad} / \mathrm{sec}$ and peaks to $\dfrac{10}{\sqrt{3}}$ at $5 \sqrt{2} \; \mathrm{rad} / \mathrm{sec}$. The transfer function of the system is $\frac{500}{s^{2}+10 s+100}$ $\frac{375}{s^{2}+5 s+75}$ $\frac{720}{s^{2}+12 s+144}$ $\frac{1125}{s^{2}+25 s+225}$
The magnitude of frequency response of an underdamped second order system is $5$ at $0 \; \mathrm{rad} / \mathrm{sec}$ and peaks to $\dfrac{10}{\sqrt{3}}$ at $5 \sqrt{2} ...
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2485
GATE ECE 2009 | Question: 44
An $\text{LTI}$ system having transfer function $\frac{s^{2}+1}{s^{2}+2 s+1}$ and input $x(t)=\sin (t+1)$ is in steady state. The output is sampled at a rate $\omega_{s} \; \mathrm{rad} / \mathrm{s}$ to obtain the final output $\{y(k)\}$. Which ... $\omega_{s}<2$ $y(\cdot)$ is zero for $\omega_{s}>2$, but nonzero for $\omega_{s}<2$
An $\text{LTI}$ system having transfer function $\frac{s^{2}+1}{s^{2}+2 s+1}$ and input $x(t)=\sin (t+1)$ is in steady state. The output is sampled at a rate $\omega_{s} ...
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2486
GATE ECE 1992 | Question 1.37
Which of the following statements is/are correct? All the resonant frequencies of a microwave cavity are harmonics of a single frequency No two of the resonant frequencies of a microwave caity are harmonics of a single frequency Resonant ... harmonically related frequency None of the above, because a microwave cavity does not resonate at a number of frequencies.
Which of the following statements is/are correct?All the resonant frequencies of a microwave cavity are harmonics of a single frequencyNo two of the resonant frequencies ...
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2487
GATE ECE 2000 | Question 2.21
A uniform plane wave in air impinges at $45^{\circ}$ angle on a lossless dielectric material with dielectric constant $\varepsilon_{r}$. The transmitted wave propagates in a $30^{\circ}$ direction with respect to the normal. The value of $\varepsilon_{r}$ is $1.5$ $\sqrt{1.5}$ $2$ $\sqrt{2}$
A uniform plane wave in air impinges at $45^{\circ}$ angle on a lossless dielectric material with dielectric constant $\varepsilon_{r}$. The transmitted wave propagates i...
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2488
GATE ECE 2000 | Question 15
The operating conditions $(O N=1, O F F=0)$ of three pumps $(x, y, z)$ are to be monitored. $x=1$ implies that pump $X$ is on. It is required that the indicator $\text{(LED)}$ on the panel should glow when a majority of the pumps fail. Enter the logical ... is $1 \mathrm{~V}$. Assume that $P$ can source or sink $10 \mathrm{~mA}$ and a $5 \mathrm{~V}$ supply is available.
The operating conditions $(O N=1, O F F=0)$ of three pumps $(x, y, z)$ are to be monitored. $x=1$ implies that pump $X$ is on. It is required that the indicator $\text{(L...
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2489
GATE ECE 2001 | Question: 1.13
An $8085$ microprocessor based system uses a $4 \mathrm{K} \times 8 \text{bit RAM}$ whose starting address is $\text{AA00 H}$. The address of the last byte in this $\text{RAM}$ is $\text{OFFF H}$ $1000 \; \mathrm{H}$ $\text{B9FF H}$ $\text{BAOO H}$
An $8085$ microprocessor based system uses a $4 \mathrm{K} \times 8 \text{bit RAM}$ whose starting address is $\text{AA00 H}$. The address of the last byte in this $\text...
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2490
GATE ECE 2001 | Question: 2.23
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 reflected? $10 \%$ $25 \%$ $50 \%$ $75 \%$
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 pow...
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2491
GATE ECE 2001 | Question: 12
Consider the following sequence of instructions for an $8085$ ... ports $\text{(PORT1, PORT2}$ and $\text{PORT3)}$ will be loaded with data, and what is the bit pattern of the data?
Consider the following sequence of instructions for an $8085$ microprocessor based system.$\begin{array}{lll} \text{Memory Address} & \text{Instructions} \\ \text{FF00} &...
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2492
GATE ECE 1998 | Question 1.13
The $f_{\mathrm{T}}$ of a $\text{BJT}$ is related to its $g m, \mathrm{C}_\pi$ and $\mathrm{C}_\mu$ as follows $f_{\mathrm{T}}=\frac{\mathrm{C}_\pi+\mathrm{C}_{\mu}}{g_\text{m}}$ ... $f_{\mathrm{T}}=\frac{g_\text{m}}{2 \pi\left(\mathrm{C}_\pi+\mathrm{C}_{\mu}\right)}$
The $f_{\mathrm{T}}$ of a $\text{BJT}$ is related to its $g m, \mathrm{C}_\pi$ and $\mathrm{C}_\mu$ as follows$f_{\mathrm{T}}=\frac{\mathrm{C}_\pi+\mathrm{C}_{\mu}}{g_\te...
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2493
GATE ECE 1998 | Question 1.37
In a series regulated power supply circuit, the voitage gain $A_{v}$ of the 'pass' transistor satisfies the condition $\mathrm{A}_{v} \rightarrow \infty$ $1<<\mathrm{A}_{v}<\infty$ $\mathrm{A}_{v} \approx 1$ $\mathrm{A}_{v}<<1$
In a series regulated power supply circuit, the voitage gain $A_{v}$ of the 'pass' transistor satisfies the condition$\mathrm{A}_{v} \rightarrow \infty$$1<<\mathrm{A}_{v}...
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2494
GATE ECE 1998 | Question 2.34
The polarisation of wave with electric field vector $\overrightarrow{\mathrm{E}}=\mathrm{E}_{0} \; e^{j(\hat{\rho}(\omega t+\beta z)}\left(\vec{a}_{x}+\vec{a}_{y}\right)$ is linear elliptical left hand circular right hand circular
The polarisation of wave with electric field vector$\overrightarrow{\mathrm{E}}=\mathrm{E}_{0} \; e^{j(\hat{\rho}(\omega t+\beta z)}\left(\vec{a}_{x}+\vec{a}_{y}\right)$ ...
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2495
GATE ECE 1995 | Question 1.17
The probability that an electron in a metal occupies the Fermi-level at any temperature $(>0 \mathrm{~K})$ $0$ $1$ $0.5$ $1.0$
The probability that an electron in a metal occupies the Fermi-level at any temperature $(>0 \mathrm{~K})$$0$$1$$0.5$$1.0$
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2496
GATE ECE 1995 | Question 1.23
A $\text{BJT}$ is said to be operating in the saturation region if both the junctions are reverse biased base-emitter junction is reverse biased and base-collector junction is forward biased base-emitter junction is forward biased and base-collector junction reverse-biased both the junctions are forward biased
A $\text{BJT}$ is said to be operating in the saturation region ifboth the junctions are reverse biasedbase-emitter junction is reverse biased and base-collector junction...
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2497
GATE ECE 1995 | Question 1.24
The depletion capacitance, $\mathrm{C}_{\mathrm{J}}$, of an abrupt $\mathrm{P}-\mathrm{N}$ junction with constant doping on either side varies with reverse bias, $V_{R^{\prime}}$ as $C_{\mathrm{J}} \propto V_{\mathrm{R}}$ ... $\mathrm{C}_{\mathrm{J}} \alpha \mathrm{V}_{\mathrm{R}}^{-1 / 3}$
The depletion capacitance, $\mathrm{C}_{\mathrm{J}}$, of an abrupt $\mathrm{P}-\mathrm{N}$ junction with constant doping on either side varies with reverse bias, $V_{R^{\...
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2498
GATE ECE 1995 | Question 1.33
An $\text{R-S}$ latch is a combinatorial circuit synchronous sequential circuit one bit memory element one clock delay element
An $\text{R-S}$ latch is acombinatorial circuitsynchronous sequential circuitone bit memory elementone clock delay element
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2499
GATE ECE 1994 | Question 4.1
(A) $a_{1} \frac{d^{2} y}{d x^{2}}+a_{2} y \frac{d y}{d x}+a_{3} y=a_{4}$ (B) $a_{1} \frac{d^{3} y}{d x^{3}}+a_{2} y=a_{3}$ ... Non-liner differential equation Linear differential equation with constant coefficients Linear homogeneous differential equation Non-linear homogeneous differential equation Non-linear first order differential equation
(A) $a_{1} \frac{d^{2} y}{d x^{2}}+a_{2} y \frac{d y}{d x}+a_{3} y=a_{4}$(B) $a_{1} \frac{d^{3} y}{d x^{3}}+a_{2} y=a_{3}$(C) $a_{1} \frac{d^{2} y}{d x^{2}}+a_{2} x \frac...
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2500
GATE ECE 1994 | Question: 4.6
Type of $\mathrm{ADC}$ (A) Successive approximation (1) $1$ (B) Dual-slope (2) $8$ (C) Parallel Comparator (3) $16$ (4) $256$ (5) $512$ Maximum conversion for $8$-bit $\text{ADC}$ in clock cycles.
Type of $\mathrm{ADC}$(A) Successive approximation(1) $1$(B) Dual-slope(2) $8$(C) Parallel Comparator(3) $16$ (4) $256$ (5) $512$ Maximum conversion for $8$-bit $\text{AD...
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2501
GATE ECE 1993 | Question 4.3
If the secondary winding of the ideal transformer shown in the circuit of Fig. $4.3.$ has $40$ turns, the number of turns in the primary winding for maximum power transfer to the $2^{\circ}$ resistor will be $20$ $40$ $80$ $160$
If the secondary winding of the ideal transformer shown in the circuit of Fig. $4.3.$ has $40$ turns, the number of turns in the primary winding for maximum power transfe...
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GATE ECE 2009 | Question: 40
A system with transfer function $H(z)$ has impulse response $h(\cdot)$ defined as $h(2)=1, h(3)=-1$ and $h(k)=0$ otherwise. Consider the following statements. $\qquad \qquad \text{S1: } H(z)$ is a low-pass filter. $\qquad \qquad \text{S2: } H(z)$ is an FIR ... $\mathrm{S} 1$ and $\mathrm{S} 2$ are true, but $\mathrm{S} 2$ is not a reason for $\mathrm{S} 1$
A system with transfer function $H(z)$ has impulse response $h(\cdot)$ defined as $h(2)=1, h(3)=-1$ and $h(k)=0$ otherwise. Consider the following statements.$\qquad \qqu...
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GATE ECE 2010 | Question: 9
The amplifier circuit shown below uses a silicon transistor. The capacitors $\mathrm{C}_{\mathrm{C}}$ and $\mathrm{C}_{\mathrm{E}}$ can be assumed to be short at signal frequency and the effect of output resistance $r_\text{o}$ ... $\text{R}_\text{i}$ and the magnitude of voltage gain $\text{A}_\text{v}$ increase
The amplifier circuit shown below uses a silicon transistor. The capacitors $\mathrm{C}_{\mathrm{C}}$ and $\mathrm{C}_{\mathrm{E}}$ can be assumed to be short at signal f...
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GATE ECE 2010 | Question: 41
A continuous time $\text{LTI}$ system is described by \[ \frac{d^{2} y(t)}{d t^{2}}+4 \frac{d y(t)}{d t}+3 y(t)=2 \frac{d x(t)}{d t}+4 x(t) \] Assuming zero initial conditions, the response $y(t)$ of the above system for the input $x(t)=e^{-2 t} u(t)$ is given by ... $\left(e^{-t}+e^{-3t}\right) u(t)$ $\left(e^{t}+e^{3 t}\right) u(t)$
A continuous time $\text{LTI}$ system is described by\[ \frac{d^{2} y(t)}{d t^{2}}+4 \frac{d y(t)}{d t}+3 y(t)=2 \frac{d x(t)}{d t}+4 x(t) \]Assuming zero initial conditi...
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2505
GATE ECE 1991 | Question 10
(a) A signal $A \sin \omega_m \mathrm{t}$ is input to a square - law device $\left(e_0-e_{m 2}\right)$. The output of which is given to an $\mathrm{FM}$ ... is the carrier frequency. Determine the value of gain $\mathrm{K}$ so that the output is a suppressed carrier $\text{DSB}$ signal.
(a) A signal $A \sin \omega_m \mathrm{t}$ is input to a square - law device $\left(e_0-e_{m 2}\right)$. The output of which is given to an $\mathrm{FM}$ modulator as the ...
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GATE ECE 2011 | Question: 50
The input-output transfer function of a plant $H(s)=\frac{100}{s(s+10)^2}$. The plant is placed in a unity negative feedback configuration as shown in the figure below. The signal flow graph that DOES NOT model the plant $\operatorname{transfer~function~} H(s)$ is
The input-output transfer function of a plant $H(s)=\frac{100}{s(s+10)^2}$. The plant is placed in a unity negative feedback configuration as shown in the figure below.Th...
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2507
TIFR ECE 2020 | Question: 4
Let $f, g: \mathbb{R} \rightarrow \mathbb{R}$ be two functions that are continuous and differentiable. Consider the following statements: $\min \{f, g\}$ is continuous $\max \{f, g\}$ is continuous $\max \{f, g\}$ is differentiable Which ... is correct Only statement $2$ is correct Only statement $3$ is correct Only statements $1$ and $2$ are correct None of the above
Let $f, g: \mathbb{R} \rightarrow \mathbb{R}$ be two functions that are continuous and differentiable. Consider the following statements:$\min \{f, g\}$ is continuous$\ma...
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2508
GATE ECE 1997 | Question 12
In the circuit shown in the figure is assume that the operational amplifier is ideal and that $\mathrm{V}_{\mathrm{o}}=0 \mathrm{~V}$ initially. The switch is connected first to ' $A$ ' charging $C_{1}$ to the voltage $V$. It is then connected to ... $\mathrm{V}=10 \; \mathrm{mV}$, what is the average rate of change of the output voltage?
In the circuit shown in the figure is assume that the operational amplifier is ideal and that $\mathrm{V}_{\mathrm{o}}=0 \mathrm{~V}$ initially. The switch is connected f...
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2509
GATE ECE 1999 | Question 2.6
An $\text{npn}$ transistor (with $\mathrm{C}=0.3 \; \mathrm{pF}$ ) has a unity gain cutoff frequency $f_{\mathrm{T}}$ of $400 \; \mathrm{MHz}$ at a $\text{dc}$ bias current $I_{c}=1 \mathrm{~mA}$. The value of its $C_{\mu}$ (in $\mathrm{~pF}$ ) is approximately $\left(\mathrm{V}_{\mathrm{T}}=26 \; \mathrm{mV}\right)$ $15$ $30$ $50$ $96$
An $\text{npn}$ transistor (with $\mathrm{C}=0.3 \; \mathrm{pF}$ ) has a unity gain cutoff frequency $f_{\mathrm{T}}$ of $400 \; \mathrm{MHz}$ at a $\text{dc}$ bias curre...
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2510
GATE ECE 2001 | Question: 2.2
In the figure, the value of the load resistor $R$ which maximizes the power delivered to it is $14.14 \; \Omega$ $10 \; \Omega$ $200 \; \Omega$ $28.28 \; \Omega$
In the figure, the value of the load resistor $R$ which maximizes the power delivered to it is$14.14 \; \Omega$$10 \; \Omega$$200 \; \Omega$$28.28 \; \Omega$
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GATE ECE 1998 | Question 2.17
The image channel selectivity of superheterodyne receiver depends upon $\text{IF}$ amplifiers only $\text{RF}$ and $\text{IF}$ amplifiers only Preselector, $\text{RF}$ and $\text{IF}$ amplifiers Preselector, and $\text{RF}$ amplifiers only
The image channel selectivity of superheterodyne receiver depends upon$\text{IF}$ amplifiers only$\text{RF}$ and $\text{IF}$ amplifiers onlyPreselector, $\text{RF}$ and $...
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GATE ECE 2003 | Question: 61
Let $X$ and $Y$ be two statistically independent random variables uniformly distributed in the ranges $(-1,1)$ and $(-2,1)$ respectively. Let $Z=X+Y$. Then the probability that $(Z \leq-2)$ is zero $\frac{1}{6}$ $\frac{1}{3}$ $\frac{1}{12}$
Let $X$ and $Y$ be two statistically independent random variables uniformly distributed in the ranges $(-1,1)$ and $(-2,1)$ respectively. Let $Z=X+Y$. Then the probabilit...
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2513
GATE ECE 2004 | Question: 90
A lossless transmission line is terminated in a load which reflects a part of the incident power. The measured VSWR is $2.$ The percentage of the power that is reflected back is $57.73$ $33.33$ $0.11$ $11.11$
A lossless transmission line is terminated in a load which reflects a part of the incident power. The measured VSWR is $2.$ The percentage of the power that is reflected ...
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GATE ECE 2005 | Question: 80
Common Data Questions 78, 79, 80 Given, $r_{d}=20 \; \mathrm{k} \Omega, \mathrm{I}_{\mathrm{DSS}}=10 \mathrm{~mA}, \mathrm{~V}_{p}=-8 \mathrm{~V}$ Transconductance in milli-Siemens (mS) and voltage gain of the amplifier are respectively $1.875 \; \mathrm{mS}$ and $3.41$ $1.875 \; \mathrm{mS}$ and - $3.41$ $3.3 \; \mathrm{mS}$ and $-6$ $3.3 \; \mathrm{mS}$ and $6$
Common Data Questions 78, 79, 80Given, $r_{d}=20 \; \mathrm{k} \Omega, \mathrm{I}_{\mathrm{DSS}}=10 \mathrm{~mA}, \mathrm{~V}_{p}=-8 \mathrm{~V}$Transconductance in milli...
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GATE ECE 2005 | Question: 81a
Statement for Linked Answer Questions 81 a and 81 b: Consider an $8085$ microprocessor system The following program starts at location $0100 \mathrm{H}$ ... the program counter reaches $0109 \mathrm{H}$ is $20 \mathrm{H}$ $02 \mathrm{H}$ $00 \mathrm{H}$ $\mathrm{FFH}$
Statement for Linked Answer Questions 81 a and 81 b:Consider an $8085$ microprocessor systemThe following program starts at location $0100 \mathrm{H}$.$\begin{array}{l} \...
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2516
GATE ECE 1995 | Question 1.22
A zener diode works on the principle of tunneling of charge carriers across the junction thermionic emission diffusion of charge carriers across the junction hopping of charge carriers across the junction
A zener diode works on the principle oftunneling of charge carriers across the junctionthermionic emissiondiffusion of charge carriers across the junctionhopping of charg...
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2517
GATE ECE 1995 | Question 1.45
The intrinsic impedance of a lossy dielectric medium is given by $\frac{j \omega \mu}{\sigma}$ $\frac{j \omega \varepsilon}{\mu}$ $\sqrt{\frac{j \omega \mu}{\sigma+j \omega \varepsilon}}$ $\sqrt{\frac{\mu}{\varepsilon}}$
The intrinsic impedance of a lossy dielectric medium is given by$\frac{j \omega \mu}{\sigma}$$\frac{j \omega \varepsilon}{\mu}$$\sqrt{\frac{j \omega \mu}{\sigma+j \omega ...
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GATE ECE 2006 | Question: 84
Statement for Linked Answer Questions 84 and 85 A $30$-Volts battery with zero source resistance is connected to a coaxial line of characteristic impedance of $50$ Ohms at $t=0$ second and terminated in an unknown resistive load. The line length is such that it takes ... load end is found to be $40$ Volts. The load resistance is $25$ Ohms $50$ Ohms $75$ Ohms $100$ Ohms
Statement for Linked Answer Questions 84 and 85A $30$-Volts battery with zero source resistance is connected to a coaxial line of characteristic impedance of $50$ Ohms at...
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GATE ECE 1994 | Question 3.8
Pulse-width modulated signals are immune to noise since their amplitude is constant.
Pulse-width modulated signals are immune to noise since their amplitude is constant.
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GATE ECE 2009 | Question: 22
The Taylor series expansion of $\dfrac{\sin x}{x-\pi}$ at $x=\pi$ is given by $1+\frac{(x-\pi)^{2}}{3 !}+\ldots$ $-1-\frac{(x-\pi)^{2}}{3 !}+\ldots$ $1-\frac{(x-\pi)^{2}}{3 !}+\ldots$ $-1+\frac{(x-\pi)^{2}}{3 !}+\ldots$
The Taylor series expansion of $\dfrac{\sin x}{x-\pi}$ at $x=\pi$ is given by$1+\frac{(x-\pi)^{2}}{3 !}+\ldots$$-1-\frac{(x-\pi)^{2}}{3 !}+\ldots$$1-\frac{(x-\pi)^{2}}{3 ...
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