GATE Electronics & Communication

A series $$RLC$$ circuit has a quality factor Q of 1000 at a center frequency of $$10^6$$ rad/s. The possible values of R, L and C are

A connection is made consisting of resistance A in series with a parallel combination of resistances B and C. Three resistors of value 10 Ω, 5 Ω, 2 Ω are provided. Consider all pos...

Consider a two-port network with the transmission matrix: T = $$\begin{bmatrix}A&B\\C&D\end{bmatrix}$$. If the network is reciprocal, then

A network consisting of a finite number of linear resistor (R), inductor (L), and capacitor (C) elements, connected all in series or all in parallel, is excited with a source of th...

The damping ratio of a series $$RLC$$ circuit can be expressed as

A Y-network has resistances of 10Ω each in two of its arms, while the third arm has a resistance of 11Ω in the equivalent ∆ − network, the lowest value (in Ω) among the three resis...

For maximum power transfer between two cascaded sections of an electrical network, the relationship between the output impedance Z 1 of the first section to the input impedance Z 2...

Norton's theorem states that a complex network connected to a load can be replaced with an equivalent impedance

A series RC circuit is connected to a DC voltage source at time t = 0. The relation between the source voltage V S , the resistance R, the capacitance C, and the current i(t) is gi...

A 230 V rms source supplies power to two loads connected in parallel. The first load draws 10 kW at 0.8 leading power factor and the second one draws 10 kVA at 0.8 lagging power fa...

A series LCR circuit is operated at a frequency different from its resonant frequency. The operating frequency is such that the current leads the supply voltage. The magnitude of c...

Two magnetically uncoupled inductive coils have Q factors q 1 and q 2 at the chosen operating frequency. Their respective resistances are R 1 and R 2 . When connected in series, th...

A source v s (t) = V cos 100 $$\pi$$t has an internal impedance of (4 + j3) $$\Omega$$. If a purely resistive load connected to this source has to extract the maximum power out of...

The average power delivered to an impedance $(4-j 3) \Omega$ by a current $5 \cos (100 \pi t+100) A$ is

If the unit step response of a network is $$(1-e^{-\alpha t})$$, then its unit impulse response is

For parallel RLC circuit, which one of the following statements is NOT correct?

The time domain behavior of an RL circuit is represented by $$$\mathrm L\frac{\mathrm{di}\left(\mathrm t\right)}{\mathrm{dt}}+\mathrm{Ri}\;=\;{\mathrm V}_0\left(1\;+\;\mathrm{Be}^{...

An independent voltage source in series with an impedance Z s =R s +jX s delivers a maximum average power to a load impedance Z L when

A two-port network is represented by ABCD parameters given by $$\left[ {\matrix{ {{V_1}} \cr {{I_1}} \cr } } \right] = \,\left[ {\matrix{ A & B \cr C & D \cr } } \right]\,\left[ {\...

In a series $$RLC$$ circuit $$R = 2\,k\Omega ,\,\,\,L = \,1H$$ and $$C = \,1/400\,\mu F.$$ The resonant frequency is

Consider the following statements S1 and S2. S 1 : The $$\beta$$ of a bipolar transistor reduces if the base width is increased. S 2 : The $$\beta$$ of a bipolar transistor increas...

The transfer function $$H\left( s \right) = {{{V_0}\left( s \right)} \over {{V_i}\left( s \right)}}$$ of an R-L-C circuit is given by $$H\left( s \right) = {{{{10}^6}} \over {{s^2}...

Twelve 1Ω resistances are used as edges to form a cube. The resistance between two diagonally opposite corners of the cube is

A source of angular frequency 1rad/sec has source impedance consisting of $$1\Omega$$ resistance in series with 1H inductance. The load that will obtain maximum power transfer is

A series RLC circuit has a resonance frequency of 1 kHz and a quality factor Q = 100. If each R, L and C is doubled from its original value, the new Q of the circuit is

An input voltage $$v(t)$$ $$ = 10\sqrt 2 \,\,\cos \,\,\left( {t + {{10}^0}} \right) + 10\sqrt 5 \,\,\cos \left( {2t + {{10}^0}} \right)\,\,V$$ is applied to a series combination of...

An ideal sawtooth voltage waveform of a frequency 500 Hz and Amplitude 3 V is generated by charging a capacitor of 2 $$\mu F$$ in every cycle the charging requires

If each branch of a Delta circuit has impedance $$\sqrt 3 \,Z$$, then each branch of the equivalent Wye circuit has impedance

A coil with a quality factor $$(Q)$$ of $$10$$ is put in series with a capacitor $${C_1}$$ of $$10\,\,\mu F,$$ and the combination is found to draw maximum current when a sinusoida...

The Nodal method of circuit analysis is based on

Superposition theorem is NOT applicable to networks containing

A voltage source of internal impedance $${\mathrm R}_\mathrm s\;+\;{\mathrm{jX}}_\mathrm s$$ supplies power to a load of impedance $${\mathrm R}_\mathrm L\;+\;{\mathrm{jX}}_\mathrm...

The short-circuit admittance matrix of a two-port network is $$$\begin{bmatrix}0&-\frac12\\\frac12&0\end{bmatrix}$$$ The two port network is

A network has 7 nodes and 5 independent loops. The number of branches in the network is

The number of independent loops for a network with n nodes and b branches is

The open circuit impedance matrix $${Z_{OC}}$$ of a three-terminal two-port network with A as the input terminal, B as the output terminal, and C as the common terminal, is given a...

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 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...

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...

A generator of internal impedance, Z G , delivers maximum power to a load impedance, Z L , only if Z L = ................

A ramp voltage, v(t) = 100 t Volts, is applied to an RC differentiating circuit with R = $$5k\Omega$$ and C = $$4\mu F$$.The maximum output voltage is

The condition, that a 2-port network is reciprocal, can be expressed in terms of its ABCD parameters as ...............

A series LCR circuit consisting of $$R = 10\Omega $$, $$\left| {{X_L}} \right|\,\,\, = 20\Omega $$ and $$\left| {{X_C}} \right|\,\,\, = 20\Omega $$, is connected across an a.c. sup...

A network contains linear resistors and ideal voltage sources. If values of all the resistors are doubled, then the voltage across each resistor is

For a 2-port network to be reciprocal

Relative to a given fixed tree of a network

In a series RLC high Q circuit, the current peaks at a frequency

Two two-port networks are connected in cascade. The combination is to be represented as a single two-port network. The parameters of the network are obtained by multiplying the ind...

The necessary and sufficient condition for a rational function of s, T(s) to be driving point impedance of an RC network is that all poles and zeros should be

If the Laplace transform of the voltage across a capacitor of value of $$\frac12\;\mathrm F$$ is $$V_C\;\left(s\right)\;=\;\frac{s\;+\;1}{s^3\;+\;s^2\;+\;s\;+\;1}$$ , the value of...

The transfer function of simple RC network functioning as a controller is $$$G\,{}_c\left( s \right)\,\,\,\,{{s + {z_1}} \over {s + {p_1}}}$$$ The condition for the RC network to a...

A load, Z L = R L + jX L is to be matched, using an ideal transformer, to a generator of internal impedance, Z S = R S + jX S . The turns ratio of the transformer required is

A 10 Ω resistor, a 1 H inductor and 1 $$\mathrm{μF}$$ capacitor are connected in parallel.The combination is driven by a unit step current.Under the steady state condition, the sou...

The condition AD - BC = 1 for a two-port network implies that the network is a

The condition AD - BC = 1 for a two-port network implies that the network is a

For the transfer function of a physical two-port network

If an impedance Z L is connected across a voltage source V with source impedance Z S , then for maximum power transfer, the load impedance must be equal to

Two two-port network A and B are connected in parallel. The combination is to be represented as a single two-port network. The parameters of this network are obtained by addition o...

The impedance function of a parallel $$R$$, $$L$$, $$C$$ circuit has poles located at $$ - 3 \pm j4$$ rad/sec. If the value of $$L = 1H$$, determine the following: (a) the values o...